EDWARD P. JAMES K. F
ANNUAL REVIEW
Heat Transfer This review covers the year preceding March 1968, with references being those of greatest utility t o the chemical process
i ndust ry he Tenth National Heat Transfer Conference was
Theld in Philadelphia, Pa., August 1968. A total of 89 papers was presented. Two important future meet-
ings should be brought to the reader’s attention. The Eleventh National Heat Transfer Conference will be held in Minneapolis, August 3-6, 1969, and the Fourth International Heat Transfer Conference will be held in Paris, August 31 through September 5,1970. There will be no National Heat Transfer Conference in 1970. For the International Conference, abstracts are due March 1, 1969, and manuscripts in June 1969. I n the United States, abstracts and manuscripts should be sent to the following papers’ chairmen. For the A.1.Ch.E. :
J. K. FERRELL Department of Chemical Engineering North Carolina State University Raleigh, N. C. 27607 For the A.S.M.E. : S. P. KEZIOS Director, School of Mechanical Engineering Georgia Institute of Technology Atlanta, Ga. 30332 This review covers the year preceding March 1968. Thermal Properties and Measurements
A review of high temperature measurement methods was presented by Barber (2A) and several papers dealt with temperature measurement methods and instruments (3A, 7 A , IOA, 74A, 76A, 78A, 20A, 23A, 25A, 27A, 30A, 32A, 35A, 37A). Many new data were presented on the thermal conductivities of gases, plasmas, and gas mixtures (7A, 5A, 6A, 8A, 9 A ) and also of liquids and liquid mixtures (77A, 72A, 77A, ZZA, 28A, 33.4). Ther-
mal conductivities of packed beds and porous media were discussed in two new papers (27A, 34A). Heat Transfer in Equipment
Papers listed in the bibliography are classified in Table I. As has been the case for the past several years, papers discussing heat transfer problems in process equipment are rather sparse. Conduction Heat Transfer
Several new methods were presented for solving the conduction problems with change of phase, either melting or freezing. Topics covered freezing of fluids a. in forced flow (ZC), a diffusion analog method (8.3, numerical method (7C), and a pseudo-similarity solution (77C). Tien and Geiger (25C, 26C) presented two papers on the solidification of a binary eutectic system where the latent heat effect does not occur a t the melting point but in a freezing zone. Numerical solutions of the heat conduction problem were discussed in three papers. A ncw numerical scheme for systems of second-order nonlinear ordinary differential equations with two-point boundary conditions was presented (73C), and some features of numerical methods were analyzed (9C, 27C). An electrical analog method was described for both heat and mass transfer problems (7OC). Many of the classical problems of heat conduction are discussed in the following references (3C-5C, 7ZC, 78C, ZOC-ZZC, 24C). Convection
Continued high level work in all areas of convection has been observed. The percentage of noteworthy papers has remained very high. A shift in concentration VOL. 6 1
NO. 1
JANUARY 1 9 6 9
31
TABLE I .
HEAT TRANSFER I N EQUIPMENT Referemer
Equipment Heat exchangers General Condensers Three-fluid Spiral plate Fin tube Optimization Fuel cells Direct fired heaters Reboilers
TABLE I I .
758, 188, 20B)
LAMINAR FLOW I N SPECIALIZED CON F I GU RAT IONS
Confieuration
References
_ I
Plates, channels
( 3 2 0 , 3 7 0 , 3 9 0 , 4 6 0 , 4 7 0 , 500, 550, 590,
Spheres, cylinders, coils, and annuli Jets
(27D,>8D,400, 470, 480, 4 9 0 , 580, 6 5 0 )
TABLE 1 1 1 .
600 620-640)
(340)
TURBULENT FLOW I N SPECIALIZED CON FI GU RATIONS
Configuration
Referencer
Flat plates or ducts Spheres Cylinders Annuli Jets
( 3 0 0 , 680, 72D, 7 6 0 , 870-830, 9 4 0 , 9 6 0 ) ( 8 0 , 670, 8 6 0 ) { % ) 8 7 0 890 930 1040) (770: 750,’ 790,’ 703d)
TABLE IV. NATURAL CONVECTION ASSOCIATED W I T H SPECIFIC CONFIGURATIONS Confieuration
References
.....
Enclosures Leaves
(7370)
is apparent with the area of natural convection and combined natural and forced convection drawing far more investigators than in the past. Fundamental approaches to boundary layer solutions under broadening and more realistic conditions are widespread. The trend of increasing studies of non-Newtonian fluids noted in recent years is maintained. Laminar flow. Emphasis has shifted from basic boundary layer studies in pipes, so numerous over the past years, to less general boundary conditions in pipe flow. Effects of buoyancy that cannot be neglected are considered theoretically for a uniformly heated horizontal tube (570). This analysis is compared to the authors’ previously published experimental data along with new
AUTHORS James K. Ferrell is Professor and Chairman and Edward P. Stahel is Associate Professor in the Department of Chemical Engineering, North Carolina State University, Raleigh, A’. C. 27607 32
INDUSTRIAL A N D ENGINEERING CHEMISTRY
flow visualization studies highlighting the secondary flow due to buoyancy. Transient studies of fundamental interest also appeared. Conditions of pulsed velocity in fields of variable flux (350), inlet step distribution of temperature (440), and slug flow in small diameters (420) are notable. Entrance region studies (330, 6 5 0 ) and transfer at high PCclet numbers (540) are treated. These are of interest, as well, for their mathematical treatment. Xon-Newtonian studies are presented for a broad spectrum of conditions ( 7 7 0 , 760, 3 6 0 , 4 3 0 , 480, 4 9 0 ) . Specialized configuration studies are grouped in Table 11. Turbulent flow. Deissler and coworkers have considered the effects of accelerating and decelerating flows (750, 7 9 0 ) . Decreased heat transfer as high as 50% from predicted values is explained by a variety of mechanistic effects. An improved high Reynolds number velocity profile for the wall region is offered (770) dependent not only on the distance from the wall but also on equivalent radial position. The low Reynolds number ranges (below 6000) are correlated separately. Fundamental studies of the turbulent boundary layer continue both theoretically (990, 7000) and experimentally (660,850, 970) oriented. The extension of boundary layer transfer to viscoelastic fluids is also presented (800, 8 8 0 ) . Experimental studies of radial profiles have Ied to better values of eddy diffusivities. Temperature measurements in water (950) are presented along with the first solution for radial heat flux. Analytical solutions utilizing the Blasius power law and the universal velocity profile are compared. The limiting relation for eddy diffusivity close to the wall has been obtained by mass transfer studies at large Schmidt numbers (970). Other significant experimental studies include varying circumferential boundary conditions (69D), high Prand tl numbers (78D), and turbulence promoters (980, 7070, 7020). Table I11 lists a number of significant papers according to system configuration. Natural convection. The published work indicates vigorous activity and a growing trend to examine more configurations, systems, and boundary conditions experimentally while refining the theoretical models to predict system stability as well as the magnitude of the convective effect. Table IV lists a number of investigations according to configuration. The diversity of the studies reported can be illustrated by examining on one hand the novel electrical analog for combining the effects of free convection and radiation of a finned surface ( 7 140) and the exact solutions obtained for heat and mass transfer in laminar free convection at a vertical moving interface ( 7 770). Effects of external forces. The modification of heat transfer characteristics centered mainly on the area of magnetic and electrical forces. Vibration effects, such as mechanical, sonic, and ultrasonic, did not receive the
attention that magnetohydrodynamics did. Table V is a list of papers in this area. High velocity heat transfer. Varieties of specialized configurations were studied and are indicated in Table VI. Included are some studies of rotating surfaces. Radiation Heat Transfer
A relatively large number of interesting and important papers were published on the subject of thermal radiation. The papers are of such variety that they are difficult to classify, and the reader is referred to the bibliography for further study.
TABLE V.
EFFECT OF EXTERNAL FORCES
Force
References
Electric and magnetic fields Sonic vibration Ultrasonic vibration
1590-7680, 7700, 1770, 1740, 1750) 1690, 7 7 2 0 ) 7730, 1760)
TABLE VI.
HIGH VELOCITY HEAT TRANSFER I N SPECI FI C CON FIGU RAT IONS References
Confinuration
(7880, 199D) 1830, 790D)
Plates Cones Curved surfaces Disks Cylinders
/
Jets
~ ~ 3:$:;187D, ~ L 1920, 2 0 0 0 - 2 0 2 0 )
~1890,~198D) %
Boiling Heat Transfer
Research activity continues very strong in the areas of boiling heat transfer and two-phase flow with papers being about equally divided between very basic studies and the more applied work. Presumably because of its importance in nuclear reactors, the vapor volume fraction in two-phase flow was given a great deal of attention. The references are classified in Table VII. Condensation
Although the volume of papers on condensation heat transfer is not large, the quality seems very good, with several new reports on dropwise condensation (2G, 4G, 6G, 76G, 77G). Mills and Seban (72G) report on an experimental measurement of the condensation coefficient of water. ’
~~
TABLE V I I .
BOILING HEAT TRANSFER ~
Subject
With the present emphasis on liquid metal-cooled nuclear reactors, it is somewhat surprising that the volume of papers on liquid metal heat transfer is so small. Several excellent papers are listed in the bibliography.
~~
References
(7F,42F, 48F) (2F)
{%! 22F, 24F, 25F, 50F, 52F) influences Binary mixtures Nucleation Transition and film boiling Effect of liquid level , General Convection boiling Critical heat flux Two-phase flow Heat transfer studies Surface active agents Hydrodynamic instability Void fraction
-.
(4F 32F) (8F: SF, 74F, 17F, 27F, 28F, 37F, 53F-55F, 58F) (lOF, 23F, 49F)
{(27F: ;%) 31F: 79F 30F 44F) 3 3 g 40F, 45F-47F, 6OF) ~~
TABLE VIII.
DISPERSED AND POR0U.S MEDIA
Subject
liquid Metal Heat Transfer
~
Rejerences
Packed beds Fluidized beds Fluid Darticle interaction Particle wall interaction Liauid-fluidized beds Poious media Suspension flow Heat pipe
( 1 1 81 121 141-161 281 291) (21: S i 171; 191, 2 1 i 22I) ( 2 0 ,121) ~ (3Ofir’
Packed Beds, Fluidized Beds, and Porous Media
A number of excellent papers on heat transfer in dispersed and porous media are listed in the bibliography and classified as to general topic in Table VIII.
The pervading interest in catalytic kinetics so evident a t the recent international meeting in Moscow in June is mirrored in excellent published papers concerned with associated heat transfer (75J, 7 6 4 .
Heat Transfer with Chemical Reaction
An increase in both number and quality of the papers concerned with chemical reaction is highlighted by new studies on reactor stability. Stability studies in tubular reactors are far from elementary (70J, 32J,40J),as are stability studies of the complex transport phenomena associated with catalyst particles presented by Kuo and Amundson (20J). Interest is strongly felt in fundamental model studies, several solved analytically (SJ,74J, 27J, 39J). Here again the level of sophistication has risen with more emphasis on multiple effects and dynamic response. Reactor optimization has been extended to cases of reversible reaction (84 and some complex reactions (94.
Coupled Transport Processes
Basic considerations of the coincidence of the individual boundary layers for coupled processes of heat, mass, and momentum transfer have led to several valid solutions, one turbulent (5K), one laminar (6K). Sparrow and Spalding (70K) have obtained analytical solutions for laminar heat transfer and sublimation mass transfer in a duct. A gas flowing through parallel plate adiabatic walls covered with sublimable material is treated by solving simultaneously the energy and diffusion equations with highly coupled boundary conditions. The coupled effects of radiative transfer in a nongray gas with heat transfer by conduction and convection were found to be very appreciable (3K). Transparent and V O L 61
NO. 1
JANUARY 1 9 6 9
33
gray gas assumptions were totally inadequate, and a complex exponential band model was used to represent spectral absorption coefficients. Solution of the resultant nonlinear integrodifferential equation was carried out numerically. Two studies of nonideal structures provide interesting contrast in theoretical us. experimental approaches. The nonlinear differential equations describing coupled heat and mass transport in hygroscopic textile materials are solved by a “double sweep” technique of finite difference approach (8K). Both positive and negative temperature and concentration gradients are possible. Wilke and coworkers (9K) have made carefully controlled experimental studies of freeze-drying of turkey meat. Comparisons are made with independent measurements of thermal conductivity and diffusivity. BIBLIOGRAPHY THERMAL PROPERTIES AND MEASUREMENTS (1A) Asinovskii E. I. and Kirillin A. V. “Experimental Determination of the Thermal Coiductivjties of Argo; Plasmis,” Znt. Chem. Eng., 7 (Z), 281 (April 1967). (2A) Barber R . “RZview of High Temperature Measurement Methods,” Trans. Inst. Chem.’Eni. (London), 45 (3), CE8l (April 1967). (3A) Bersis, D. S., and Karvbakas C. A “A Novel Three Terminal Thermistor: The Varitherm,” J. Sci.Z&trum.,’44 (9);’777 (September 1967). (4A) Bobco R. P “Directional Emissivities from a Two-Dimensional Absorbin Scatterin; MedjLm: The Semi-Infinite Slab,” J . Heat Transfer, 86, Ser. C (45 313 (November 1967). (5.4) Brain T. J. S “New Thermal Conductivity Measurements for Argon, Nitrogen’and Steam:” Znt. J. Heat M a s s Transfer, 10 (61, 737 (June 1967). (6A) Burge, H. L., and Robinson L. B “Thermal Conductivities of He, Ne, Ar, and of Their Mixtures,” J . Appi Phys:: 39 (l), 51 (January 1968). (7A) Chomiak Jerzy and Niedzialek, Bo uslaw “Measurement of Rapidly Varyin Gas’Temperaturcs in an Unsteady%ow,’: Znt. J. Heat M a s s Transfer, 10 ( l l ) , If71 (November 1967). (EA) Das Gupta, A,, “Thermal Conductivity of Binary Mixtures of Suiphur Dioxide and Inert Gases,” ibid. (71, 921 (July 1967). (9A) Dastidar, T. K. Rai, and Barua, A. K “Heat Conductivity and Relaxation Effectsin the SystemNz04 = 2 NOz,” Proc’,’Phys. Soc. (London), 92, 800 (November 1967). (10A) Donne M. D., and Bowditch, F. H . “A Nozzle Thermocouple for Measurements in fiigh-Temperature Gases,” Zh. J. Heat M a s s Transfer, 10 (4), 477 (April 1967). (11A) Filippov, L. P., “Liquid Thermal Conductivity Research at Moscow University,” ibid., 11 (Z), 331 (February 1968). (12A) Gluck, P “Thermal Conductivity of Monatomic Liquids,” Pmc. Phys. Soc., (London), 92;’476 (October 1967). ( 1 3 ~ )Hays D. F and Curd H . N “Heat Conduction in Solids: TemperatureDepende;t The’;mal CondLctivit;,” Int. J. Heat M a s s Trans/er, 11 (Z), 285 (February 1968). (14A) Hensing C D. and Parker R. “Transient Response of an Intrinsic Thermocouple,” j.Heat Fransfer, 89,’Ser: C (Z), 146 (May 1967). (15A) Herpol G . and Wiliems N. “Un Nouvel Instrument Pour la Mesure de la Conductibiiite +hermi ue sd: Matieres Isolantes,” Znt. J. Heat M a s s Transfer, 10 (4). 19673. ., 467 (ADril . (16A) Jones, E. W., “Facile Thermocouple Calibrations,” Instrum. Contr. Syst., 40 (.5 ),. 135 ~ (Mav . , 1967). . (17A) Jones I. W “Calculation of thc Thermal Conductivity of Normal Hydrogen in the De&e G&ous and Liquid States,” Int. J. Heat M a s s Transfer, 10 (6), 745 (June 1967). (18A) Kirk, W. H., “Thermocouple Primer,” Instrum. Contr. Sysl., 41 (3), 77 (March 1968). (19A) Korsgaard Vagn and Madsen T. L., “The Thermal Insulation of Some Typical Danisd Outer’ Walls Exposdd to the Natural Climate,” J . Znsl. Heating Ventilatine -Eners., . 35, 106 (July 1967). (20A) Loeffler R. F “Thermocouples Resistance Temperature Detectors, ThermistorsLWhichf,” Instrum. Conlr. Syk, 40 (5), 89 (May 1967). (21A) Luikov A. V Shashkov A. G., Vas!liev L. L and Fraiman, Yu. E “Thermal donduc;Ivity of Po;ous Systems, In;. J . Hyat Mars Transfer, 11 (Zj: 117 (February 1968). (2ZA) Madejski J “Method of Measuring the Thermal Conductivity of Liquid and Gaseous b i e i h r i c s and Its Applications,” Znt. Chem. En!., 7 (4), 702 (October 1967). (23A) Muth, Stephen, Jr., “Reference Junctions,” Instrum. Contr. Syst., 40 ( 5 ) , 133 (May 1967). (24A) Northover, E. W., and Hitchcock J A., “A Heat Flux Meter for Use in Boiler Furnaces,” J. Sci. Imtrum., 44 (5): 3 j l (May 1967). (25A) Nutter G. D. Wike, R. D., and Bollerman P. V. “High Precision Automatic Optidal Pyrdmeters,” Instrum. Contr. Syst., do ( 5 ) , $6 (May 1967). (26A) Picot, J . J. C., and Fredrickson, A. G., “Interfacial and Electrical Effects on Thermal Conductivity of Nematic Liquid Crystals,” IND.ENO.CHEW.,FUXDAM., 7 (l), 8 4 (February 1968).
-
~
34
INDUSTRIAL A N D ENGINEERING CHEMISTRY
(27.4) Pirro P. “The Use of Thermocoar Chromel-Alumel Thermocouples for the MeasureAeni of Small Tenperature Differences,” J. Sci. Instrum., 44 (12), 1055 (December 1967). (28A) Poltz H and Jugel R. “The Thermal Conductivit of Liquids-IV. Tempera& Dependence bf Thermal Conductivity,” Znt. J . h e a t M a s s Transfer, 10 (e), 1075 (August 1967). (29A) Powell R. W., and Tyc, R. P. “New Measurements on Thermal Conductivity RLference Materials,” ibid. (51, 581 (May 1967). (30A) Raja J., and Sankaranarayanan P. E “ A Resistance Thermometer for Measurini Air Temperatures,” J. Sci.i n r i r u i ! , Ser. 2, 1, 150 (February 1968). (31A) Rao, A. F., and Ibrahim, S . H., “S ecific Heat and Thermal Conductivity of Organic Liquids,” Brit.Chem. En!., 1 3 ?3), 357 (March 1968). (32A) Ruehle, R. A., “Precision Miniature Temperature Transducer,” Instrum. Contr. Syst., 40 (5), 113 (May 1967). (33A) Viswanath, D. S., “On Thermal Conductivity of Liquids,” A.2.Ch.E. J.,13 ( 5 ) . 850 (Scotember 1967). , ‘ (34A) Wakao Noriaki, Omura Sakuhei and Fukuda Mitsuharu “Effective Thermal C&iuctivity of Packid Beds id Low Pressure’Range,” Kaiaku Kogaku, 5 (l), 195 (Spring 1967). (35A) Wang, T.P., “Tcmpcraturc Sensors,” Instrum. Contr. Syst., 40 (5), 103 (May 1967). (36A) Wyngaar:, J. C. and Lumley J L. “A Constant Temperature Hot-wire Anemometer, J. Sci.’Znslrum., 44 (g), >63’(May 1967). (37A) Young, R. S., “A New Infra-Red Radiation Pyrometer,” tbid. (12), 988 (December 1Q67). I ,
HEAT TRANSFER IN EQUIPMENT (1B) Aulds D. D. and Barron R. F. “Three-Fluid Heat Exchanger Effectiveness,” Int. J. H h Mab Transfer, 16 (10),’1457 (October 1967). (2B) Awiel, Mordecai, and Wilde D . J “Optimal Condenser Design b Geometric Programming,” I ~ D . EX;. CHE;., ~RocEssDES. DEVELOP.,6 256 (Aoril 1967). (3B) Brian, P. L. T., Smith K. A. and Petri L. W. “Vapor Flow Limitations in a Melter-Condenser,” ibid.,’ 7 (1),’21 (Januiry 1968)). (4B) Duffy, A . R . , Sorenson, J. E., Mesloh, R. E., and Smith E. L. “HeatTransfer Characteristics of Belowground LNG Storage,” Chem. f n g . P&., 63 (6), 55 (June 1967) ~~. . ,_ (5B) Evans G. E. Hilvety Neil Winters C. E and Baile R. V., “Mass Transport and Heat Tkansfer i; Fuel’Cell Systems,” ;bid., Symp. &,, 63 (75), 26 (Energy Conversion Systems) (1967). (6R) Gallagher, J. T., “Cost of Direct-Fired Hcaters,” Chem. Eng., 7 4 (15), 232 (July 1967). (7B) Gidaspow, Dimitri, Baker B. S . Jee B. C and Oliva Frank “Heat Transfer in a Fuel Cell Battery: Maximlm Bat&; Tempera(ures, dhem. Eng Progr. Symp. Ser., 6 3 (75), 63 (Energy Conversion Systems) (1967). (8B) Gilmour, C. H., “Troubleshooting Heat Exchanger Design,” Chem. Ew., 74 (13), 221 (June 1967). (9B) Hargis, A. M., “Heat Exchangers That Didn t Work,” Ckem. Eng. Progr., 64 (3), 80 (March 1968). (10B) Hargis A. M. Beckmann A. T and Loiacono J. J., “Applications of Spiral Plate Heat’ExchaAgers,” ibid.,’63 (7j: 62 (July 1967). (11B) Hilliard, A , “Graphite Hcat Exchangers for High Pressures,” Chem. Process., 13 (12), 24 (December 1967). (12B) Hood, R. R.,“Designing Heat Exchangers in Teflon,” Chem. Eng., 74 (11), 181 (May 1967). (13B) Huckaba, C. E., MEster N. and Santoleri J J “Performance of a Novel Sub-X Heat Exchanger, Chin. kng. Progr., 63 (7),’74)(July 1967). (14B) Joyce, T. F., “Optimization and Desi n of Fin-Tube Heat Exchangers b Expcrimcnt and Computer Technique,” j. Inst. Heating Ventilating Engrs,, 3$ 8 (April 1967). (15B) Kroehle T. P. “Rules for Reducing Exchanger Costs,” Chem. Ens., 74 (17), 157 (August’1967).’ (16B) Lee, C. J., Penney W R. and Small W. M. “ A Demonstration Thermosiphon Reboiler,” Che;: E&. brogr. Symp.’Ser., 63’ (701, 64 (Small-Scale Equip. ment for Chemical Engineering Laboratories) (1967). (17B) Malewski, W., “External Spraying of Tubes in Vertical Tube Assemblies,” Chem.-Zng.-Tech., 40, 201 (March 1968). (18B) Nunge, R. J., Porta, E. W., and Gill, M‘.N.,“Axial Conduction in the Fluid Streams of Multistream Heat Exchangers Chem. Enp. Progr. Symp. Ser., 63 (77), 80 (Fundamental Research on Heat and Miss Transfer) (1967). (19B) Pacey, W. C., and Rustin, A., “0 timization of a Reaction and Heat Exchange System with Recycle,” Can. J.8 h m . Eng., 45 (51, 305 (October 1967). (20B) Parkcr, R. 0. and Mok Y I. “Shell-Side Pressure Loss in Baffled Heat Exchangers,” Brit.khem. Eng.,’l3 ‘(3): 366 (March 1968). (21B) Penny, W. R., and Bell K. J. “Close Clearance Agitators-Part 2. Heat Transfer Coefficients,” INn. h a . CLEM.,59 (4), 47 (April 1967). (22B) Sack M. “Fallin Film Shell-and-Tube Heat Exchangers,” Chem. Eng. Progr., 6 ; (7),’55 (Julyf967). (23B) Strek, F., and Masiuk, S. “Heat Transfer in Liquid Mixers,” Int. Chem. Eng., 7 (4), 693 (October 19673. (24B) Wright, R., “Finned Tubes,” Nucl. Eng.. 12 (133), 449 (June 1967).
(t,
,.
~~
~
CONDUCTION HEAT TRANSFER (112) Bassett, C. R., and Pritchard, M. D. W. “The Teaching of Intermittent Heating by the Use of Electrical Analogues,” 2 Inst. Heating Ventilating Engrs., 35, 57 (May 1967). (2C) Beaubouef, R. T., and Chapman, A. J. “Freezing of Fluids in Forced Flow,” Znt. J. Heat Moss Transfer, 10 ( l l ) , 1581 (N‘ovember 1967). (3C) Cobble, M. F., “Finite Transform Solution of the Temperature of a Plate Heated by a Moving Discrete Source,’’ ibid. (9), 1281 (September 1967). (4C) Gardner, G. C., “Unsteady-State Heat Generation and Heat Transfer in Superconductlng Composites,” ibid. (e), 1055 (August 1967). (5C) Haji-Sheikh, A., and S arrow E. M. “The Solution of Heat Conduction Problems by Probability dthods:” J. H e h Transfer, 89, Ser. C. (Z), 121 (May 1767). (6C) Hashemi, 13.T., and Sliepcevich, C. M. “Heat Leak to In-Ground Storage of LNG,” Chem. Eng. Piagr., 63 (6), 68 (June 1967).
+;,
(7C) Hashemi H T and Sliepcevich C. M., “A Numerical Method for Solving Two-DimenjioLa1 9roblems of Hea; Conduction with Change of Phase,” ibid., Symp. Ser., 63 (759, 34 (Heat Transfer with Phase Change) (1967). (8C) Hashemi, H. T., and Sliepcevich, C. M. “A Diffusion Analogue Method for Solving Problems of Heat Conduction with )Change of-Phase,” ibid., p. 42. (9C) K a Ian, B., and Wrikht, K. D “Acceleration of the Convergence of SUCcessive%lock Overrelaxation by Uso‘bf a n Improved Block Pattern in the Solution of the Equation for Transient Heat Conduction,” Nucl. Sci. Eng., 31 (3), 550 (March 1968). (1OC) Kozdoba L. A. and Zagoruiko V. A. “Solution of Heat and Mass Transfer Pr6blems by ;he El&trical Analogy’MethAd,” Znl. Chem. Eng., 7 (2), 202 (April 1967). (11C) Langford David “ Pseudo-Similarity Solutions Of the One-Dimensional Diffusion Eqdation d t h Ap lications to the Phase Change Problem,” Quart. Appl. Math., 25 (l), 45 (April f967). (12C) Laura, P. A., and Faylstich A. J Jr., “Unsteady Heat Conduction in Plates of Polygonal Shape, I n l . Heal Mass Transfer, 11 (2), 297 (February 1968). (13C) Liu Shean-Lin “Numerical Solution Of Two-Point Boundary Value Problem; in Simulianeous Second-Order Nonlinear Ordinary Differential Eouations.” Chem. Ene. Sa., 22 (6), 871 (June 1767). (14C) Mikic B B. “A Model Rate Equation for Transient Thermal Conduction,” Znt. J . Hedt M a d Transfer, 10 (12), 1879 (December 1967). (15C) Morris D. A. “Demonstration Experiment of Heat Flow in Transient and Steady-State Conditions,” Am. J. Phys., 36 (2), 120 (February 1968). (16C) Muncey, R. W. R., “The Conduction of Fluctuating Heat Flow,” ApPl. Sci. Res., 18 (l), 9 (August 1967). (17C) Murthy, M. L, and Ramachandra, R. A “Sha e Factors in Conduction Heat Transfer,” BIZ?.Chem. Eng., 12 (5), 730 ( d a y 1966.
(15D) Miropol’skii, 2. and Pikus, V. Yu., “Local Heat Transfer Coefficients i n Curvllinear Channels, Znt. Chem. Eng., 8 (11, 78 (January 1968). (16D) Mitsuishi, Nobuo, and Miyatake, Osamu, “Laminar Heat Transfer to NonNewtonian Ellis Model Fluids in Cylindrical Tubes,” Kagaku Kogaku, 5 ( l ) , 82 (Spring 1967). (17D) Mizushina, Tokuro, Ito, Ryuzo, Murakami, Yasuhiro, and Kiri, Munenori “Experimental Study of the Heat Transfer of Newtonian Fluid to the Wall of Agitated Vessels,” ibid., p 43. (18D) Mori Yasuo and Naka ama Wataru “Study on Forced Convective Heat Transfer ih Curvgd Pipes ( 3 r l Reiort Thedretical Analysis under the Condition of Uniform Wall Temperature and Practical Formulae), Int. J . Heat M a s s Tronsfer, 10 (5), 681 (May 1967). (19D) Oganesyan, L. S. “Intensification of the Heat-Transfer Process Through the Use of Longitudinil and Transverse Pressure Gradients,” Int. Chem. Eng., 8 (l), 28 (January 1968). (20D) ,Patankar, S. V., and Spalding, D. B “A Finite-Difference Procedure for Solvin the Equations of the Two-Dimensional Boundary Layer,” Int. J. Heat M a r s hanxfer. 10 110). 1389 (October 19671. (21D) Rundell H A Ward E G and Cox J. E “Forced Convection in Concentric-Spheie Hea;‘ExchaAge;s,’;’J. Heat T&sfery 90, Ser. C (l), 125 (February
(18C) 6lcer N. Y., “Theory of Unsteady Heat Conduction in Multicomponent Finite Reiions,” Ingr.-Arch. (February 1968). (19C) Ravin V S., “A Steady-State Heat Conduction Problem,” Souiet Phys“Doklody” 7Englcsh Transl.), 12 (I), 561 (December 1967). (20C) Roberts S. B., “The Eigenvalue Problem for Two-Dimensional R e ions with Irregulir Boundaries,” J. ApPl. Mech., 34, Sir. E (3), 61 (September 1867). (21C) Samarskii A. A., Kurdyumov, S. P., and Volosevich, P. P., “Travellin Waves in a Mbdium with Non-Linear Heat Conduction,” U.S.S.R. Computalronj Math. Math. Phys., 5 (2), 40 (July 1967). (22C) Schmid J., “Solution of Some Boundary Problems of Heat Conduction for C lindrical Bodies Provided with Longitudinal Fins,” Int. J. Heat Mass Transfer, 18(10), 1305 (October 1967). (23C) Sherman, B., “A Free Boundar Problem for the Heat Equation with Prescnbcd Flux at Both Fixed Face and. Melting Interface,” Quart. Appl. Math., 25 (l), 53 (April 1967). (24C) Sparrow E. M and Haja-Sheikh A “Transient and Steady Heat Conduction in A>bitrat;) Bodies with Arbi&ary Boundary and Initial Conditions,” J. Heal Transfer, 90, Ser. C (l), 103 (February 1968). (25C) Tien R H and Geiger G. E “A Heat-Transfer Analysis of the Solidification of a hinary Eutectic Systgm,” &d., 89, Ser. C (3), 230 (August 1967). (26C) Tien, R. ,H., and Geiger, G. E., “The Unidimensional Solidificati:: of a Binary Eutectic System with a Time-Dependent Surface Temperature, rbrd., 90, Ser. C, 27 (February 1968). (27C) Troshchiev V E., “Width of the Zone of Influence for the Equation of Heat Conduction,” ~ S . S . RCompulalional . Math. Math. Phys., 5 (6), 224 (March 1968). (28C) Van Sant J. B. “Temperature Variations on the Surface of a Strip-Heated Flat Plate,” J.’Heal ?rnnsfer, 89, Se;. C (4), 372 (November 1967). (29C) Villadsen, J. V., and Stewart, W. E. “Solution of Boundary-Value Problpms by Orthogonal Collocation,” Chem. Eng.’Sci., 22 ( l l ) , 1483 (November 1967). (30C) Weymann, H. D “Finite Speed of Propagation in Heat Conduction, Diffusion, and Viscous $hear Motion,” Am. J. Phys., 3 (6), 488 (June 1967).
(25D) Soliman, Mourtafa, and Johnson, H . A. “Transient Heat Transfer for Forced Convection Flow Over a Flat Plate of A ’ reciable Thermal Capacity and Containing a n Exponential Time-Dependent p e a t Source,” Int. J. Heat Moss Transfer, 11 (l), 27 (January 1968). (26D) Szucs, L., and Tasnadi, C. S., “A Process for the Dimensionin of the High Efficiency Plate Fins of Compact Heat Exchangers,” ibid., 10 (6f 771 (June 1967). (27D) Taylor M F. “A Method of Correlating Local and Average Friction Coefficients’for Bot6 Laminar and Turbulent Flow of Gases Through a Smooth Tube with Surface.to Fluid Bulk Temperature Ratios from 0.35 to 7.35,” $bid. (a), 1123 (August 1967). (28D) Trommelen, A. M. “Heat Transfer in a Scraped-Surface Heat Exchanger,’ Trans. Znsl. Chem. Engrs..’(London),45 (5), T176 (June 1967). (29D) Walker, L. A., and Markland, E., “Calculation of Heat Transfer to Turbine Bladin in the Presence of Secondary Flow,” Znt. J. Heal Mass Transfer, 10 (4). 495 (April 1967). (30D) Wazzan A R Okamura, T. and Smith, M. O., “ T h e Stability of Water Flow Ov& HLated and Cool6d Flat Plates, J. Heat Transfer, 90, Ser. C (1). 109 (February 1968). (31D) Yalamov Yu.. I. Ivchenko I. N. and Derya in B V “Velocity Distribution Function’of the 6,s Moleckes Ngar a Solid d a l i in’a donuniformly Heated Gas,” Soviet Phys. “Doklody” (English Transl.), 12 (7), 714 (January 1968).
>.
CONVECTION (ID) Bassanid P Gercignani C. and Pagani C. D “Com arison of Kinetic Theory Analyse; of Linearidd d e a t Transfer’Betwegn ParalEl Plates,” In#. J. Hcot Mars Transfer, 10 (4), 447 (April 1967). (2D) Bogdanov, F. F., Korshakov A. I and Utkin 0. I. “Im rovement of Heat Exchange in Channels,” Souiet At. EnlLgy, 22 (6), k40 ( J h e 1g67). (3D) Bott T R Azoory S. and Porter K. E “Scra ed-Surface Heat Exchangers Part 12Hold:b and ke;idcnce T i d e StuAes,” &ms. Znsf. Chem. Engrs. (London), 46 (216), ?33 (March 1968). (4D) Butler, H. W., and Rack!ey, Robert, L‘AJplication of a Variational FormulaHeat Mass Transfer, 10 (9), 1255 tion to Nonequilibrium Fluld Flow,” Int. (September 1967). (5D) Davey A. “The Motion of a Fluid Due to a Moving Source of Heat at the Boundary:’ J: Flurd Mech., 29, Part 1, 137 (July 1767). (6D) Finlayson B A. and Scriven L. E “On the Search for Variational Printiples,” Znf. J. heat M k s Transfer, i0 (6),?99 (June 1967). (7D) Finn, R. and Smith D. R., “On the Stationary Solutions of the NavierStokes Cquabons in TwdDimensions,” Arch. Ratzonal Mech. Anal., 25 (1) (May 1967). (8D) Galloway, T. R., and Sage, B. H., “Thermal and Material Transport from S heres Prediction of Macroscopic Thermal and Material Transport,” Int. J. &at Mass Transfer, 10 (91, 1175 (September 1967). (9D) Galloway T. R., and Sa e B H “Thermal and Material Transfer from Spheres. Pridiction of Local $;an,pori,>l rbid, 11 (31, 539 (March 1968). (lOD) Gambill W. R., “An Evaluation of Recent Correlations for High-Flux Heat Transfer,” Ch)em.Eng., 74 (18), 147 (August 1967). (11D) Hagedorn, Donald and Salamone J. J “Batch Heat Transfer Coefficients for Pseudoplastic Fluid; in Agitated ~ e s s e l s ~IND. ’ END. CHEM.,PROCESS DES. DEVELOP.,6 (4), 469 (October 1967). (12D) Hung, H. M., and Ap 1, F. C., “Heat Transfer of Thin Fins with Temperature-Dependent Thermal gro erties and Internal Heat Generation,” J . Heat Transfer, 89, Ser. C (2), 155 ( J a y 1967). (13D) Kohlmayr, G. F ‘(Extension of the Maximum Slope Method to Arbitrary Upstream Fluid TeGperature Changes,” ibrd., 90, Ser. C (l), 130 (February 1968). (14D) Kohlmayr, 0. F. “Analytical Solution of the Single-Blow Problem by a Double Laplace Trans&rm Method,” ibid., p 176.
196111 - -,
(22D) Saravanos B “The Calculation of Heat Transfer to Thick Metal Walls af Steam Turbind Cd;nponents from Ambient Steam wlth Time-Dependent Characteristics,” Int. J . Heat Mass Transfer, 10 (5), 557 (May 1967). (23D) Sherman M . “Convective Instabilities in Fully Developed Flows,” J. Heat Transfer, 90, der. d (l), 84 (February 1968). (24D) Shouman, A. R. ‘‘An Exact General Solution for the Temperature Distribution and the Cdmposite Radiation Convection Heat Exchan e Along a F:,sDant Cross-Sectional Area Fin,” Quort. Appl. Math., 25 (4), 45% (January 171001.
,e.
Laminar Hlow (32D) Benis, A. M. “Laminar Flow of Power-Law Fluids Through Narrow ThreeDimensional Channels of Varying Gap,” Chem. Eng. Sci.,22 (6), 805 (June 1967). (33D). BJankenshi V. D. and Chung P. M. “Compressible Boundary LayerInviscid Flow kteracti&e in EntrLnce Rekion of Internal Flows,” J . Heat Transfer, 89, Ser. C (4), 281 (November 1967). (34D) Brand R. S and Lahey F. J “The Heated Laminar Vertical Jet,” J . Fluid Mech.: 29, P&t 2, 305 (AAgust ij67). (35D) Channabasappa M N. “Heat Transfer by Laminar Flow into Fluids Flowing with Velocity Pulsitions in ,: Circular Pipe with Circumferentially Varyin and Fluctuating Heat Flux Polska Akad. Nauk., Inst. Podstawowych (Archiwum M e c k . Stosowancjj, 19 (4), 511 (1967). Probl. (36D) Christiansen E. B. Jensen G. E., and Tao, Fan-Sheng “Laminar Flow Heat Transfer,” khem. kng. Prog;. Symp. Ser., 62 (77), 134 (196j). (37D) Crosbie A. L. and Viskanta R. “Transient Heating or Cooling of a Plate b Combinch Con;ection and Rabiatjon,” Int. J. Heat Mass Trawfer, 11 (2), 305 (Jebruary 1768). (38D) Drake, D. G., and Rhodes, P. C., “Fluctuating Heat Transfer from a Sphere a t Small Reynolds Numbers, 2.Angew. Math. Phys., 18, 342 (May 1967). (39D) Emer A. F. anci,Brettman, K. F., “Temperature Distributions in Laminar Flat Plate !?hear glow, J . Heat Transfer, 90, Ser. C, 32 (February 1968). (40D) Eshghy, Siavash, and Hornbeck, R. W., “Flow and Heat Transfer in the Ayisymmetric Boundary Layer Over a Circular Cylinder,” Znl. J. Heat Mass Transfer, 10 (12), 1757 (December 1967). (41D) Farman R. F. and Beckmann R. B. “Entrance Region Heat Transfer in an Annulus I ’ C h i . dng. Progr. Symp.’ Ser., )63 (79), 57 (Heat Transfer with Phase Changef (1967). (42D) Gill, W. N., and Ananthakrishnan, V., “Laminar Dispersion in Capillaries: Part IV. The Slug Stimulus,” ibid., 62 (77), 123 (1967). (43D) Henning, C. D and Yang, Wen-Jei “Laminar Forced Convection to Bingham Plastic FloGing Through a Circulkr Tube with Internal Energy Generation,” Appl. Sci. Res., 18 (5), 336 (February 1968). (44D) Howell J A Sparrow E M. and Schmal M “Concentration Temperature and R:ac;io;Surfaces in L a A n a r Tube Fl’ow h t h Radially Stdpwise Inlet Distribution,” Chem. Eng. Sci., 22 (lo), 1383 (October 1967). (45D) Lassau G and Le Fur, B., “Profils de Concentrations dans une Couche Limite LaAnGre Figee avec une Repartition Continue et Discontinue de Catalyseur sur la Paroil,” Int. J. Heat Mass Transfer, 10 (7), 877 (July 1967). (46D) Lyutikas N. S and Zhukauskas A. A. “The Problem of Determining the Rate of Heai Tradifer for the Case’of L a h a r Flow of a Fluid of Variable Density in a Flat Channel,” Int. Chem. Eng., 7 (2), 336 (April 1967). (47D) Mercer W. E., Pearce W M. and Hitchcock J. E. “Laminar Forced Convection ‘in the Entranie Rigio; Between Parailel Flat Plates,” J. Heal Transfer; 89, Ser. C (3), 251 (August 1967). (48D) Mizushina, Tokuro Ito, Ryuzo, Murakami, Yasuhiro, and Kiri, Munenori “Experimental Study of the.Heat Transfer to the Cooling Coil in a n Agitated Vessel,” Kagaku Kogaku, 5 (11, 93,(Spring 1967).
#ahch.
VOL. 6 1
NO. 1
JANUARY 1969
35
(49D) Mizushina, Tokuro, Ito, Ryuzo, Murakami, Yasuhiro, and Tanaka, Suketoshi, “Experimental Study of the Heat Transfer of Non-Newtonian Fluids to the Wall of Agitated Vessels,” i b d . , p. 87. (SOD) Montgomery, S. R., and Wibulswas, P., “Laminar Flow Heat Transfer for Simultaneously Developing Velocity and Tem erature Profiles in Ducts of Rectangular Cross Section,” Appl. Sci. Res., 18 (4), 847 (December 1967). (51D) Mori Yasuo and Futagami Kozo “Forced Convective Heat Transfer in Uniforml; Heateb Horizontal Tbbes (ind Report, Theoretical Study), Int. J . Heat M a s s Transfer, 10 (12), 1801 (December 1967). (52D) Mukherjee Sm. A. “An Exact Solution of a One-Dimensional HeatConducting Cdmpressibl; Flow Buoyancy Forces Being Considered ” Polska Akod. Nauk., Inst. Podstawowych Probl. Tech. (Archiwum Mech. Stosowancj), 18 (41, 617 (1967). (53D) O’Brien E. E. “On the Flux of Heat Through Laminar Wavy Liquid Layers,” J . h i d M k h . , 28, Part 2 , 295 (May 1967). (54D) Pan, Yu-Fang, and Acrivos, Andreas “Heat Transfer at High Peclet Number in Regions of Closed Streamlines,” Int. J.’Heat M a s s Transfer, 11 (3), 439 (March 1968). (55D) Pnueli D “A Computation Scheme for the Asymptotic Nusselt Number in Ducts of A;bi;;ary Cross-Section,” ibid., 10 (12), 1743 (December 1967). (56D) Poots, G., and Raggett, G. F., “Theoretical Results for Variable Property, Laminar Boundary Layers in Water,” ibid. (5), 597 (May 1967). (57D) Rotcm Zeev “The Heated Surface Probe for Measuring Shear Stress at the Wall in LaAinar Boundary Layers,” Can. J. Chem. Eng., 45 (3), 175 (June 1967). (58D) Sano, YGji, and Yamada Nobuo “Heat Transfer Coefficients of Filaments in Spinning Operations,” Kagdku K o g d u , 5 (l), 147 (Spring 1967). (59D) Schmidt F. W. and Newell, M. E., “Heat Transfer in Fully Developed Laminar Floh ThroLgh Rectangular and Isosceles Triangular Ducts,” Znt. J . Heat M a s s Transfer, 10 (E), 1121 (August 1967). (60D) Sinha, P. C., “Laminar Flow Heat Transfer from a Flat Plate with Variable Thermal Conductivity,” 2. Angew. Moth. Phys., 18, 900 (November 1967). (61D) Sparrow E M Minkowycz, W. J. and Saddy M . “Forced Convection Condensation’ in’ the”Presence of NoncoAdensables a i d IAterfacial Resistance,” In!. J . Heat M a s s Tranrfer, 10 (12), 1829 (December 1967). (62D) Terrill R. M., and Walker G. “Heat and Mass Transfer in Laminar Flow Between P a h e 1 Porous Plates,’’ AGpl. Sci. Res., 18 (3), 193 (November 1967). (63D) Trommelen, A. M. “Heat Transfer to Falling Liquid Films,” Chem. Eng. Sci., 22 ( 8 ) , 1152 (Auguit 1967). (64D) Wallgren, B. O., and Tait R. W F “Heat Transfer in Liquid-Film Flow,” INn. ENG.CHEM.,FUNDAM., 6 (31, 474 (August 1967). (65D) WorsQc-Schmidt P. M. “Heat Transfer in the Thermal Entrance Rcgion of Circular Tubes and ’Annular Passages with Fully Developed Laminar Flow,” Int. J . Heat M a s s Trans/m, 10 (4), 541 (April 1967).
Turbulent Flow (66D) Armistead, R. A,, Jr., and Keyes J. J Jr. “A Study of Wall-Turbulence Phenomena Using Hot-Film Sensors,’’ Heit Transfer, 90,Ser. C (l), 1 3 (February 1968). (67D) Aufdermaur, A. N., and Joss, Jiirg, “A Wind Tunnel Investigation on the Local Heat,,Transfer from a Sphere Including the Influence of Turbulence and Roughness, 2. Angew. M a t h . Phys., 18, 852 (November 1967). (68D) Barrow, H., and Horlock, J . H., “Asymmetric Heat Transfer in Turbulent Flow Between Parallel Plates,” Int. J . Heat Mass Transfer, 10 (5), 712 (May 1967). (69D) Black A. W. and Sparrow E. M. “Experiments on Turbulent Heat Transfer i; a Tub: with Circumf.&entiall; Varyin Thermal Boundary Conditions,’’ J . Heat Transfer, 89, Ser. C (3), 258 (August f967). ( 7 0 ~ )Blanco, J. A,, and Gill, W. N “Analysis of Multistream Turbulent Forced Convection Systems ” Chem. Eng. ‘hrogr. Symp, Ser,, 63 (77), 6 6 (Fundamental Research on Heat agd Mass Transfer) (1967). (71D) Boldman D. R. Schmidt J. F. and Ehlers, R. C. “Effect of Uncooled Inlet Length and Gozzle konvergeke Ahgle on the Turbdlent Boundary Layer and Heat Transfer in Conical Nozzles Operating with Air,” J. Heat Transfer, 89, Ser. C (4). 341 (November 1967). (72D) Brundrett Ewart and Burroughs P. R., “The Temperature Inner-Law and Heat Transfer’for T d b u l e n t Air Flo; in a Vertical Square Duct,” Int. J. Heat M o s s Transfer. . . 10 (9), 1133 (September 1967). (73D) Chilcott R . E. “ A Review of Separated and Reattaching Flows with Heat Transfer,” ibid. (6),’783 (June 1967). (74D) Crookston, R. B., Rothfus, R. R., and Kermode, R. I., “Turbulent Heat Transfer in Annuli with Small Cores,” ibid., 11 (3), 415 (March 1968). (75D) Deissler R. G “Weak Locally Homogeneous Turbulence and Heat Transfer with UnifbrmN&mal Strain,” Z . Angew. M a t h . Mech., 48 (2), 87 (March 1968). (76D) Filetti E. G. and Kavs W. M. “Heat Transfer in Separated, Reattached, and Redevklo mgnt RegioAs’Behind Double Step at Entrance to a Flat Duct,” J . Heat Transjtr, 89, Ser. C ( Z ) , 163 (May 1967). (77D) Flint L. F. “On the Velocity Profile for Turbulent Flow in a Straight Pipe,” Ch;m. En;, Sci., 22 (E), 1127 (August 1967). (78D) Gowen R. A and Smith J. W. “The Effect of the Prandtl Number on Temoeratu& Profires for Heat hansfe;in Turbulent Pipe Flow,” ibid. (12), 1701 (December 1967). (79D) Graham R. W. and Deissler, R . G. “Prediction of Flow-Acceleration Effects on TGrbulent Heat Transfer,” J . H e i t Transfer, 89, Ser. C (4), 371 (November 1967). (80D) Gupta, M. K., Metzncr, A. G., and Hartnett, J. P “Turbulent HeatTransfer Characteristics of Viscoelastic Fluids,” Znt. J . H e i t M a s s Transfer, 10 (9), 1211 (September 1967). (81D) Haugen, R. L., and Dhanak, A. M., “Heat Transfer in Turbulent BoundaryLaver Sewration Over a Surface Cavity,” J . Heat Tranrfer, 89, Ser. C (4), 335 (Nbvembkr 1967). (82D) Ishiguro, R oji “Heat Transfer from Nonisothermal Flat Plates Across a Turbulent BounJar; Layer,” Bull. J.S.M.E., 10 (40), 663 (August 1967). (83D) Junkhan G. H. and Serovy, G. K. “Effects of Free-Stream Turbulence and Pressure Gradient or; Flat-Plate Bound&-Layer Velocity Profiles and on Heat Transfer,” J . Heat Transfer, 89, Scr. C (2), 169 (May 1967). (84D), Kafengauz, N. L,,, “Characteristics of the Heat Transfer to a Turbulent Fluid Flaw at Supercrltical Pressure,” Souiet Phys. “Doklady” (English T r a w l . ) , 12 (3), 278 (September 1967). (85D) Kline, S. J., Reynolds, W.C., Schraub, I?. A,, and Runstadler, P. W., “The
>.
36
I N D U S T R I A L A N D E N G I N E E R I N G CHEMISTRY
Structure ofTurbulent Boundary Layers,” J. Fluid Mech., 30, Part 4, 741 (Dccemher 1967). .~ . . (86D) Lavender, W. J., and Pei, D. C. T., “The Effect of Fluid Turbulence on the Rate of Heat Transfer from Spheres,’’ Int. J. Heat M a r s Transfer, 10 (4), 529 (April 1967). (87D) Lee, Y . , “Turbulent Heat Transfer from the Core Tube in Thermal Entrance Regions of Concentric Annuli,” ibid., 11 (3), 509 (March 1968). (88D) Marrucci Giusep e and Astarita, Gianni: “Turbulent Heat Transfer in ENG.C H E h i . , FUNDAhi., 6 (3), 470 (August 1967). Viscoelastic L;quids,” (89D) Nicol, A. A., Medwell, J. O., and Goel, R. K., “Settling Length for Turbulent Flow of Air in an Annulus,” Can. J . Chem. Eng., 45 ( Z ) , 97 (April 1967). (90D) Owen F. K. “Heat Transfer from Plain and Finned Cylinders in Crossflow,” J . d s t . Healing Ventilating Engrs., 35, 213 (October 1967). (91D) Popovich 4. T and Hummel, R. L., “Experimental Study of the Viscous Sublayer in T;;bule’kt Pipe Flow,” A.Z.CI1.E. J., 13 (5), 854 (September 1967). (92D) Porter, J. W., Goren, S. L., and Wilke, C. R., “Direct Contact Heat Transfer Between Immiscible Liquids in Turbulent Pipe Flow,” ibid., 14 (l), 151 (January 1968). (93D) Roberts A. “ A Comment on the Turbulent Flow Velocity Profile in a Concentric ~nn;lus,” Znt. J . Heat M a s s Transfer, 10 (5), 709 (May 1967). (94D) Sabersky, R. H . , and Hauptmann, E. G., “Forced Convection Heat Transfer to Carbon Dioxide Near the Critical Point,” ibid. ( l l ) , 1499 (November 1967). (95D) Smith J. W. Gowen R. A. and Wasmund B. 0 “Eddy Diff,yivities and Temperatdre Prokles for &buIeht Heat Transfer to WAter in Pi es Ckem. Eng. Progr. Symp, ,Ser,, 63 (77), 92 (Fundamental Research on Heat ancfGass Transfer) (19671. (96D) Soliman, M., and Johnson, H . A,, “Transient Heat Transfer for Turbulent Flow Over a Flat Plate of Appreciable Thermal Capacity and Containing TimcDependent Heat Sourcc,” J . Heat Tranrfer, 89, Ser. C (4), 362 (November 1967). (97D) Son, J . S., and Hanratty, T. J., “Limiting Relation for the Eddy Diffusivity Close to a Wall,” Chem. Eng. Progr. Symp. Ser., 62 (771, 133 (1967). (98D) Sutherland, W. A,, “Improved Heat Transfer Performance with BoundaryLayer Turbulence Promoters,’’ Znt. J. Heat M a s s Transfer, 10 ( l l ) , 1589 (November 1967). (99D) Szablewski, W., “Turbulente Parallelstromimgen,” Z. Angew. Math. Mech., 48 ( l ) ,35 (January 1968). (100D) Taccoen, Lionel, “Contribution .4 L’Etude des Echanges Tbermiques en Ecoulement Turbulent Dans un Tube Lisse. Application Aux Metaux Liquides,” Int. J . Heat .Mass Transfer, 10 (12), 1649 (December 1967). (101D) Thomas, D. G., “Enhancement of Forced Convection Heat Transfer Coefficient Using Detached Turbulence Promoters,” INO. END. CHEM.,Pnocsss DES.DEVELOP., 6 (31, 385 (July 1967). (102D) Thorsen, R., and Landis, F., “Friction and Heat Transfer Characteristic in Turbulent Swirl Flow Subjected to Large Transverse Temperature Gradients.” J.Heat Tratufer. 90. Ser. C (1). 19681. . . . 87 (Februarv . (103D) Tomich, J. F., and Weger, Eric, “Some New Results on Momentum and Heat Transfer in Compressible Turbulent Free Jets,” A.I.Ch.E. J., 13 ( 5 ) , 948 (Seotember 19671. (104D) Wilson, N. W., and Medwell, .I. O . , “An Analysis of Heat Transfer for Fully Developed Turbulent Flow in Concentric Annuli,” J . Heat Transfer, 90, Ser. C (11, 43 (February 1968). (105D) Yu W. S. and Chen J. C. “Slug Flow Heat Transfer with Mass Injection and Lin;arly Virying Wali Temberature,” A.Z.Ch.E. J . 13 (61, 1127 (November 1967). ~
k.
~~
~
I .
I
I
,
. .
Natural Convection (106D) Brodowicz K . “An Anal sis of Laminar Free Convcction Around Isothermal Verticai Plaie.” Int. J . h o t M a s s Tronsfer. , . 11 12). . . , 201 (Februarv . , 1968). ~ ~ (107D) Busse, F. H., “Non-Stationary Finite Amplitude Convection,” J . Fluid Mech.., 28., Part 2. 223 iMav 1967). (108D) Catton, I., and Edwards, D. K., “Effect of Si$ Walls on Natural Convcction Between Horizontal Plates Heated from Below, J . Heat Transfer, 89, Ser. C 141. 295 (November 19671. , (109D) Cheesewright, R., “Natural Convection from a Plane Vertical Surface in Non-Isothermal Surroundings,” Int. J. Heat M a s s Transfer,’ 10 (12), 1847 (December 19671. ~ . ~ ~ ~ . . ~ (llOD) CtFesewright R. “Turbulent Natural Convection from a Vertical Plane Surface, J. Heat $ranr)er, 90,Ser. C ( I ) , 1 (February 1968). (11lD) qwrie, I. G., “The Effect of Heating Rate on the Stability of Stationary Fluids, J . Fluid Mech., 29, Part 2, 337 (August 1967). (ll2D) Davis S H . “Convection in a Box: Linear Theory,” ibid., 30, Part 3, 465 (NoveAber 19i7). (113D) Deardorff, J. W.,and Willis, G. E., “Investigation of Turbulent Thermal Convection Between Horizontal Plates,” ibid., 28, Part 4, 675 (June 1967). (114D) Dent J. C. “An Electrical Network Method for Combined Free Convective and RHdiati;e Transfer of Annular Finned Surfaces,” Brit. Chem. Eng., 13 (l), 90 (January 1968). (ll5D) Dent, J: C., “Heat Transfer from a Vertical Transversely Vibrating Plane Surface to Air by Free Convection,” Int. J . Heat M a s s Transfer, 11 (3), 605 (March 1968). (116D). Evans, L.B., Reid, R. C. and Drake E. M. “Transient Natural Convcction in a Vertical Cylinder,” A.%Ch.E. J., i4 (Z), 251 (March 1968). (117D) Gardner D. V. and Hellums, J. D., “Simultaneous Heat and Mass Transfer in Liminar bree Convection with a Moving Interface,” IND. ENO. CHEW,FUNDAM., 6 (3), 376 (August 1967). (118D) Gille John “Interferometric Measurement of Temperature Gradient Reversal in’a Laygr of Convecting Air,” J. Fluid Mech., 30, Part 2 , 371 (November 1967). (1lOD) Goldstein R. J. and Aung Win “Heat Transfer by Free Convection from a Horizontal WiGe to Ckrbon DioLde ig the Critical Region,” J. Heat Transfer, 90, Ser. C ( l ) ,51 (February 1968). (120D) Hayday A. A. Bowlus D. A and McGraw, R. A “Free Convection from a Verti;al Flat’Plate d t h Ste; Discontinuities in SuGace Temperature,” ibid., 89,Ser. C (3), 244 (August 1967). (121D) Hazel, Philip “The Effect of Viscosity and Heat Conduction on Internal Gravity Waves at Critical Level,” J. Fluid Mech., 30, Part 4, 775 (December 1967). (122D) Iqbal, M., Stachiewicz, J. W., “Variable Density Effects in Combined I
~
, I
,
/ .
Free and Forced Convection in Inclined Tubes,” Int. J . Heat Mass Transfer, 10 ( l l ) , 1625 (November 1967). (123D) Kelleher M. D and Yang Kwang-Tzu “Heat Transfer Response of Laminar Free!Convec;jon Bounda;y Layers Alohg a Vertical Heated Plate to Surface-Temperature Oscillations,” Z. Angew. Math. Phys., 19, 31 (January 1968). (124D) Kierkus W. T., “An Analysis of Laminar Free Convection Flow and Heat Transfer AboAt an Inclined Isothermal Plate,” Int. J . Heat Mass Transfer, 11 (2), 1768). -241 - \ - lFrhriiarv -----, (125D) Koschmieder, E. L., “On Convection Under an Air Surface,” J. Fluid Mech., 30, Part 1, 9 (October 1967). (126D) Krzywoblocki M. Z “Gravitational Effects on the Thermal Instability,” J . Heat Transfer, 89,’Ser. C’)(4),357 (November 1767). (127D) Lock, G. S. H., Gort, C., and Pond G R., “A Study of Instability i n Free Convection from an Inclined Plate,” Ap$l.’S;. Res., 18 (3), 171 (November 1767). (128D) Lock G S H. and Gunn J. C., “Laminar Free Convection from a DownwardlPrdiec;inR’Fin,” J . Hedt Transfer, 90, Ser. C (I), 63 (February 1768). . . (127D) Mabuchi Ikuo and Tanaka Toshio “Ex erimental Study on Effect of Vibration on datura; Convective &at Trahsfer $om a Horizontal Fine Wire,” Bull. J.S.M.E., 10 (41), 808 (October 1767). (130D) Mack L. R and Hardee, H. C “Natural Convection Between Concentric S heres at Low 5aylcigh Numbers,;’ Int. J . Heat Mass Transfer, 11 (3), 387 (&arch 1768). (131D) Madejski J., “Non-Stationary Natural Convection Heat Transfer. Special Solutions for Vertical Flat Plates ” Polska Akad. Nauk., Imt. Podstawowych Probl. Tech. (Archrwum Mech. Stosowancj): 19 (3), 421 (1767). (132D) Muhuri, P. K., and Maiti, M. K., “Free Convection Oscillatory Flow from a Horizontal Plate,” Int. J . Heat Mass Transfer, 10 (6), 717 (June 1767). (133D) Musman Steven, “Penetrative Coqvection,” J . Fluid Mech ,31, Part 2, 343 (January 17685. (134D) Nicol, A. A,, and Babiy G B., “Free Convection Heat Transfer froHelically-Finned Tubes,” Can. dhem. Eng., 45 (6), 382 (December 1967). (135D) Nield, D. A. “The Thermohaline Rayleigh-Jeffreys Problem,” J. Fluid Mech., 29, Part 3, 545 (September 1967). (136D) Ojalvo M. S Anand D. K and Dunbar R . P., “Combined Forced and Free Turbulent C&vection) in a‘bertical Cirlular Tube with Volume Heat Sources and Constant Wall Heat Addition,” J . Heat Transfer, 89, Ser. C (4), 328 (November 1967). (137D) Parkhurst, D. F., Duncan, P. R., Gates;,D M and Kreith F “Convection Heat Transfer from Broad Leaves of Plants, ikd.,”90, Ser. C (1),”71 (February 1968). (138D) Polymeropoulos, C. E., and Gebhart, Ben ’amin, “Incipient Instability in Free Convection Laminar Boundary Layers,” j . Fluid Mech., 30, Part 2, 225 (November 1767). (137D) Po pendiek H. F., “Two-Dimensional Transport Models for the Lower Layers opthe Atm)osphere,” Int. J. Heat Mass Transfer, 11 ( l ) , 67 (January 1968). (140D) Prakash C. B and Pinder K. L “Direct Contact Heat Transfer Between Two Immiscible Ciquids During Vkporization. Part I. Measurement of Heat Transfer Coefficient,” Can. J. Chem. Eng., 45 (4), 210 (August 1767). (141D) Prakash, C. B,, and Pindcr, K. L., “Direct Contact Heat Transfer Between Two Immiscible Liquids During Vaporization. Part 11. Total Evaporation Time,” ibid., p 215. (142D) Razelos, P., and Lazaridis, A., “A Lumped Heat-Transfer Coefficient for Periodically Heated Hollow Cylinders,” Int. J.Heat Mass Transfer, 10 (lo), 1373
>.
-
lnrtnhrr , - ._ - _.1067) .- - ,.
(143D) Reejhsinghani, S. S.,Barduhn, A. J., and Gill, W. N., “Laminar Dispersion in Capillaries: Part V. Experiments on Combined Natural and Forced Convection in Vertical Tubes,” A.Z.Ck.E. J.,14 ( l ) , 100 (January 1968). (144D) Roberts, P H “Convection in Horizontal La era with Internal Heat Generation. Tieor;” J . Flutd Mech., 30, Part 1, 33 (dcctober 1967). (145D) Robinson, J. L., “A Note on the Stability of an Infinite Fluid Heated from Below,” rbid., 29, Part 3, 461 (September 1767). (146D) Rotem, Zeev, “The Effect of Thermal Conduction of the Wall Upon Convection From a Surface in a Laminar Boundary Layer,” Int. J . Heat Mass Transfer, 10 (4), 461 (April 1967). (147D) Shaidurov G F., “Convective Liquid Stability in Closed Circuits,” ibrd., 11 (Z), 235 (Februiry i768). (148D) Slawson P. R., and Csanady G. T., “On the Mean Path of Buoyant, BentOver Chimne; Plumes,” J . Flurd hech., 28, Part 2, 311 (May 1967). (149D) Suriano F J and Yang Kwang-Tzu “Laminar Free Convection About Vertical and ’H&i;ontal Platls at Small i n d Moderate Grashof Numbers,” Int. J . Heat Mass Transfer, 11 (3), 473 (March 1968). (150D) Takhar, H. S “Thermal Convection Near a Partly Insulated Vertical Flat Plate,” Z . Angew. d a t h . Phys., 19 ( l ) , 45 (January 1768). (151D) Tanker, G. E., L tle J. H., and Vachon, R. I “Heat Transfer to Sulfur Hexafluoride Near the $h&modynamic Critical Regibln in a Natural-Circulation Loop,” J . Heat Transfer, 90,Ser. C ( l ) , 37 (February 1768). (152D) Tritton, D. J., and Zarraga, M. N., “Convection in Horizontal La ers with Internal Heat Generation. Experiments,” J . Fluid Mech., 30, Part 1, 21 fiOctober 1767). (153D) Turcotte D L “A Boundary-Layer Theo for Cellular Convection,” Int. J . Heat Miss fra;or;Ffr,10 (E), 1065 (August 1963. (154D) Vanier C R and Tien Chi “Further Work on Free Convection in Water l j 4 7 (December 1767). at 4OC,” Chek Eni,’Scr., 22 (155D) Vidal, Antonio, and Acrivos, Andreas “Effect of Nonlinear Temperature Profiles on Onset of Convection Driven b; Surface Tension Gradients,” IND. ENC.CHEM.,FUNDAM., 7 (l), 53 (February 1768). (156D) Warner, C. Y., and Arpaci V. S., “An Experimental Investigation of Turbulent Natural Convection in I\ir at Low Pressure Alon a Vertical Heated Flat Plate,” Int. J , Heat Mass Transfer, 11 (3), 377 (March 1938). (157D) Welander, Pierre “ O n the Oscillator Instability of a Differentially Heated Fluid Loop,” J . Fluid lirbch., 29, Part I, 17 [July 1767). (158D) Zeh D W and Gill W. N., “Heat Transfer and Binary Diffusion in Variable broiert; Free Co&ection Flows,” Znt. J . Heat Mass Transfer, 10 (7), 1159 (September 1767).
(h),
Effects of External Forces (157D) Artsimovich L. A., Bobrovskii G. A., Mirnov, S. V. Razumova, K. A,, and Strelkov V. d., “Thermal 1nsul;tion of Plasma in the “kokamaks’,” Sou. At. Energy, 22 (4\, 325 (April 1967).
(160D) Audsley, A., Everest, D. A., and Whyman, D., “Thermal Plasmas: Their Control and Use as Environments for High Temperature Chemical Reactions,’’ Trans. Inst. Chem. Engrs. (London), 45 (7), CE170 (September 1767). (161D) Bopp, 0. R. “The Role of Electrod namics in Transport Phenomena,” Chem. Eng. Progr., 63 (lo), 74 (October 17677. (162D) Chawla S S “Magnetoh drodynamic Unsteady Free Convection,“ Z. Angew. Math. heLh.,’h7 (E), 477 (december 1767). (163D) Fan L T Hwan C. L., Knieper, P. J., and Hwang, U. P. “Heat Transfer bn ’Miinetohy&odynamic Flow in the Entrance Region of a Flat Duct,” Z. Angew. Math. Phys., 18, 826 (November 1967). (164D) Horn, G., and Hughes, E. M., “En ineering Aspects of Magnetoh drodynamic Power Generation,” Trans. Inst. 8hihem. Engrs. (London), 45 (5), % l 8 2 (June 1767). (165D) Hunt J. C R., and Leibovich S “Ma netohydrodynamic Flow in Channels df Variable Cross-Section wiih Sirong 4ransverse Magnetic Fields,” J . Fluid Mech., 28, Part 2 , 241 (May 1767). (166D) Hunt, J. C. R., and Williams, W. E.,,:‘SOme Electrically Driven Flows i n Magnetohydrodynamics. Part I. Theory, rbrd., 31, Part 4, 705 (March 1968). (167D) Incropera, F. P., and Lep ert, G., “Laminar Flow Heat Transfer From a n Argon Plasma in a Circular Sube,” Znt. J . Heat Mars Transfer, 10 (12), 1861 (December 1967). (168D) Johnson, J. R., Choksi,,N. M.,. and Eubank,,?. T “Entrance Heat Transfer from a Plasma Stream in a Circular Tube, IN;. END. CHEM., PROCESS 7 ( l ) , 34 (January 1968). DES.DEVELOP., (169D) Li, K. W., and Parker J. D., “Acoustical Effects on Free Convective Heat Transfer from a Horizontal h i r e , ” J . Heat Transfer, 89, Ser. C (3), 277 (August 1967). (170D) Meroney, R. N., and Giedt, W. H., “The Effect of Mass Injection on Heat Transfer from a Partially Dissociated Gas Stream,” tbid., p 205. (171D) Rao, S. V. S. “Hydromagnetic Natural Convection Flow of a NonNewtonian Fluid Beiween Parallel Porous Walls ” Polska Akad Nauk Inst. Podstawowych Probl. Tech. (Archiwum Mech. Stosowanij), 19 (6), 81 1 ‘(1767):’ (172D) Richardson P D. “Heat Transfer from a Circular Cylinder by Acoustic Streaming,” J.F h d Mhh., 90, Part 2, 337 (November 1767). (173D) Schmidt F W Torok D F. and Robinson G. E. “Ex erimental Study of the Effects’of‘an”U1trasdnic’Fikld in a Nucleite Boiling 8ystem;, J. Heat Transfer, 89, Ser. C (4), 289 (November 1767). (174D) Tan C W and Wang C. 0. T. “Heat Transfer in Aligned-Field Ma netoh drodynamib Flow Past’a Flat Pl;te,” Int. J. Heat Mass Transfer, 11 (27; 317 (Jebruary 1968). (175D) Todd L., “Magnetoh drodynamic Flow Alon Cylindrical Pipes Under Non-Unifo;m Transverse dagnetic Fields,” J . Flud Mech., 31, Part 2, 321 (January 1768). (176D) Wong, S W., and Chon W Y., “Effects of Ultrasonic Vibrations on Burnout Heat Flux and Critical h m p e r a t u r e Difference,” Can. J . Chem. Eng., 45 (6), 384 (December 1767). Rotating Surface8 (177D) Aoki Hiroshi Nohira Hidetaka and Arai Hajime “Convective Heat Transfer i; an Annhus with an Inner’Rotating kylinder,” Bull. J.S.M.E., 10 (39), 523 (June 1967). (178D) Bott T R and Azoor S “Scraped Surface Heat Transfer with Knitmesh Scrapers,’;B;it. b e m . Eng., ($1, 372 (March 1768). (179Dj Furuya, Yoshimasa, and Nakamura, Ikuo, “An Ex erimental Investigation of the Skewed Boundar Layer on a Rotating Body Gccond Report),” Bull. J.S.M.E.. 11 (43), 107 (Jebruary 1768). (180D) Hanold R. J. and Moszynski J. R., “Secondary Flows Associated with Slowly Oscillating i n d Rotating Diiks,” J. Heat Transfer, 89, Ser. C (Z), 177 (May 1767). (181D) Hudson J L., “Convection Near a Cooled Disk Rotating with Its Environment,” Int. J.’Hiat Mass Transfer, 11 (3), 407 (March 1768). (l82D) Jawa M S “The Axial1 Symmetric Flow and Heat Transfer of a Viscous Liquid BetLee; Ywo Infinite SLwly Rotating Porous Disks ” Polska Akad. Nauk., Inst. Podstawowych Probl. Tech. (Archiwum Mech. Stosowancj), 1’9 (3), 377 (1967). (183D) Koh, J. C. Y and Price, J. F “Nonsimilar Boundary-Layer Heat Transfer of a Rotating Congin Forced Flod,’” J . Heat Transfer, 89, Ser. C (Z), 139 (May
1;
.
19671
(184D) Mabuchi Ikuo Tanaka, Toshio and Sakakibara Yukihiro “Studies on the Convective’Heat h a n s f e r from Ro(ating Disk (Secodd Report ’The Effect of Prandtl Number on the Laminar Heat Transfer from a Disk Rotadng in Uniform Forced Stream),” Bull. J.S.M.E., 10 (42), 765 (December 1767). (185D) Mori Yasuo and Nakayama Wataru “Forced Convective Heat Transfer in a Straigit Pi e’Rotatin Arounb a Paraliel Axis (First Re ort, Laminar Region),’’ Int. J . &at Mars &ansfer, 10 (9), 1179 (September 19!7). (186D) Pao Sui-Kwong P., and Siekmann, J., “Oscillations of a Vapour Cavity in a Rotahng Cylindrical Tank,” J . Fluid Mech., 31, Part 2, 249 (January 1768). (187D) Petrof R C and Raynor Severin “The Temperature Distribution in Rotating Thick-W&led C lindeis Heated by Radiation,” Int. J . Heat Mass Transfer, 11 (3), 427 (Marcx 1768). (188D) Riley, !, “Thermal1 Induced Boundary-Layer Flows in a Rotating Environment, J . Fluid M a l , 29, Part 2, 241 (August 1967). (187D) Sass Allan “Simulation of Heat-Transfer Phenomena in a Rotary Kiln,” IND. ENO.’CHEM.: PROOESS DES.DEVELOP., 6 (41, 532 (October 1767). High Velocity Heat Transfer (190D) Bloor M I G “Effect of Radiative Heat Loss on Steady Hy ersonic Flow Past d Bl;nt’BoJy,” J. Fluid Mech., 29, Part 3, 485 (September 17f7). (191D) Brechling Von J “Ein Berechnungsverfahren Zur Zweiten Hau taufgabe der Kom ressi)blen &terschallstr&mung Durch Schaufelgitter,” Angew. Math. Mec!., 47 (3), 163 (April 1967). (172D) C.hisholm, D., “Flow of Com ressible Two-Phase Mixtures Through Throttling Devices,” Chem. Proc. Eng., BS (12), 73 (December 1967). (173D) Diesperov V N and Ryzhov 0. S “Dam in&of Perturbations Produced by a Solid of R’evdlutlon in a Viscdus Hdat-Con&cting Su ersonic Gas Flow,” Sou. Phys. “Doklody” (EnglishTransl.), 12 (71, 651 (January 1968). (194D) Hayday, A. A., and Bowlus, D. A. “Inte ration of Coupled Nonlinear Equations in Boundary-L,ayer Theory wit; Specifc Reference to Heat Transfer
8,
VOL 61
NO. 1
JANUARY 1 9 6 9
37
Near the Stagnation Point in Three-Dimensional Flow,” Znt. J. Heat Mass Transfer, 10 (4), 415 (April 1967). (195D) Helliwcll J B. “One-Dimensional Steady Magnetogasdynamic Flow in Oblique Fields’and tde Structure of Shock Waves,” Arch. Rational Mech. A n d . , 2 6 (3), 237 (September 1967). (196D) Kent Gordon “Temperature Effects on Whistler Resonance,” J. Appl. Phys., 38 (f2), 4873 )November 1967). (197D) Luikov A V. Sergeev V. L. and Shashkov A G. “Experimental Study of Stagnatioi Pbint’Heat Trhnsfer bf a Solid in High:En;halpy Gas Flow,” Znt. J.Heat M a s s Transfer, 10 (lo), 1361 (October 1967). (198D) Novotny J. L. and Kelleher M. D “Free-Convection Stagnation Flow of an Absorbin’g-Emiiting Gas,” ibtd: ( 9 ) , l i i l (September 1967). (199D) Richards B. E. “Transitional and Turbulent Boundary Layers on a Cold Flat Plate in H;persoAic Flow,” Aero. Quarterly, XVIII, Part 3, 237 (August 1967). (200D) Talmor Eliyahu “Effect of Pressure Gradient on Sonic-Point Heat Transfer,” A.i,Ch.E. J.,’14 (l), 127 (January 1768). T. D. and Chopra N. K “Note on Two-Phase Flow Through a (201D) -ma Nozzle, Z . Lngezo. h f a t h . Phys., 1b (l), Eb (January 1768). (202D) Wazzan A. R Robinson, L. B., and Diem, H . G., “Heat Transfer of GasParticle Flow ’in a &personic Convergent-Divergent Nozzlc,” Appl. Sci. Res., 18 (4), 288 (December 1967). RADIATION HEAT TRANSFER (1E) Abu-Romia, M. M., and Tien, C. L., “Spectral and Integrated Intensity of C O Fundamental Band at Elevated Temperatures,” Int. J. Heat Mass Transfer, 10 (12), 1779 (December 1967). (2E) Anderson, J. E., “Local Temperature Variations of a Transpira tion-Cooled Wall Due to Radiant Heating,” J. Heat Tronsfer, 90, Ser. C (l), 146 (February 1968). (3E) Barabanenkov, Yu. N., “Equation of Radiative Transfer in a Model of Is0 tropic Point Scatterers,” Sov. Phys. “Doklady” (Enslish Trans(.), 12 (5), 431 (November 1967). (4E) Birkebak, R. C., Dawson, J. P., McCullough, B. A,, and Wood, B. E., “Hemispherical Reflectance of Metal Surfaces as a Function of Wavelen th and Surface Roughness,” Znt. J.Heat M a s s Transfer, 10 (9), 1225 (September 1%67). (5E) Campbell, P. M., “Monte Carlo Method for Radiative Transfer,” ibid. (4), 519 (April 1967). (6E) Cess, R. D., Mighdoll, P “Modified Planck Mean Coefficients for Optically Thin Gaseous Radiation,” i i i d , (9), 1291 (September 1967). (7E) Cess R D Mighdoll P Tiwari S. N. “Infrared Radiative Heat Transfer in Nonira; G:ses,” ibid. (llj: 1521 (November 1967). (8E) Chan, K. S. “Simulation of Radiant Heat Transfer,” J. Heat Transfer, 89, Ser. C (2), 195 (May 1967). (9E) Ciborowski J and Wolny A. “Drying of Wet Solid S heres Through Contact with Dry kin’; Solid Partllles buring Mixing,” Int. J . &eat Mass Transfer, 11 (2), 255 (February 1968). (lOE),CoI!ins, B. G.! “A Long Wave Radiation Source for Net Pyrradiometcr Calibration,” J . Scz. Znstrum., Ser. 2, 1, 62 (January 1968). (11E) Cravalho E. G. Ticn C. L. and Caren, R P. “Effect of Small Spacin s o n (4), Radiative Transfer hetwedn Tw; Dielectrics,” ‘J. h a t Transfer, 89, Ser. 351 (November 1967). (12E) Detkov, S. P., and Vinogradov, A. V., “Form Factors for Parallelepipeds,” Int. J . Heat Mass Transfer, 11 (Z), 191 (February 1968). (13E) Edwards D. K Glassen, L. K. Hauser W. C., and Tuchscher, J. S., “Radiation Heat Trinsfer in Nonisotdermal Nbngray Gases,’’ J. Heat Tronsfer, 89, Ser. C (31, 219 (August 1967). (14E) Edwards, D. K., and Tobin, R. D. “Effect of Polarization on Radiant Heat Transfer Through Long Passages,” ibid. (Z), 132 (May 1767). (15E) Edwards, R. H., and Bobco, R. P., “Radiant Heat Transfer from Isothermal Dispersions with Isotropic Scattering,” ibid. (4), 300 (November 1967). (16E) Fayon, A. M., Lehnsen, J. E,, and Katz, S., “Heat Transfer to Finite Cylinders with Variable Temperatures at the Uninsulated Plane Surface-An Analytical Solution,” Chern. Eng. Sci.,22 (12), 1875 (December 1767). (17E) Greif Ralph and Willis D. R. “Heat Transfer Between Parallel Plates 1ncluding)Radiati’on and Rarifaction hffects,” Znt. J. Heat Mass Transfer, 10 (8), 1041 (August 1967). (18E) Hager, N. E., Jr. and Stccre R C. “Radiant Heat Transfer in Fibrous Thermal Insulation,” 3, Appl. Phys.’, 38 (li),4663 (November 1967). (19E) Hasatani Masanobu Fukuhara Tomonobu and Sugiyama Sachio “Heat Conduction Ihvolving Rkdiation as Boundary Cdndition,” K a g d u Kogak;, 5 (l), 190 (Spring 1767). (20E) Heaslet, M. A,, and Warmin R . F “Radiative Transport in a n Absorbing Planar Medium 11. Preactions 6f Radiative Source Functions,” Znt. J . Heat Masr Transfer, 10 (lo), 1413 (October 1967). (21E) Hottel H. C., Sarofim, A. F., Evans, L. B., and Vasalos, I. A., “Radiative Transfer in’ Anisotropically Scattering Media : Allowance for Fresnel Reflection at the Boundaries,” J . Heat Transfer, 90,Ser. C (l), 56 (February 1968). (22E) Hsia H. M and Love T. J. “Radiativc Heat Transfer Between Parallel Plates Se‘ arated’ by a Non’isotherkal Medium with Anisotropic Scattering,” ibtd., 89, ier. C (3), 197 (August 1967). (23E) Love T. J. Jr. and Francis J. E. “Reflection of Monodirectional Flux by a Coating dn a Sdbstr‘ate,” Znt. J . H ~ n Mt a s s Transfer, 11 (2), 369 (February 1968). (24E) Lyuboshits I. L. Reprintseva S M and Fedorovich, N. V., “On the Problem of Radiant-donvective Hdat ‘Tra&fer in Moving Dispersed Media,” Znt. Chern. Enp., 7 (2), 326 (April 1967). (25E) Moumouni Abdou, “Analyse des Particularites du Fonctionnement des Radiomctrcs Thermoelectriques a Disque Recepteur Absorbant en Regime Permanent,” Int. J. Heat Mass Transfer, 10 (lo), 1339 (October 196j). (26E) Moumouni Abdou “Sur IC Fonctionnement en Regime Variable du Radiometre Tharmoelechique a Disque Recepteur Absorbant,” ibid., 11 (Z), 145 (February 1968). (27E) Nazarenko L. A. and Yakimenko I. P. “Thermal Radiation from Convex Plasmas,” Sov. >hy.-?ech. Phys. ( E n g l i s i Tronjl.), 12 (2), 166 (August 1767). (28E) Novotny J. L. and Yang Kwang-Tzu, “The Interaction of Thermal Radiation in’opticaily Thick Bodndary Layers,” J. Heat Transfer, 89, Ser. C (4), 309 (November 1767). ,(29E) Piamondon, J. A,, and Horton, T. E., “On the Determination of thc View
d
38
INDUSTRIAL A N D ENGINEERING CHEMISTRY
Function to the Images of a Surface in a Nonplanar Specular Reflector,” Znt. J . Heat Mass Transfer, 10 (51, 665 (May 1967). (30E) Prelewicz, D. A , , and Kenned L. A “Solar Radiant Heating of a Rotating Solid Cylinder,” Quart. Appl. Mydth., 25”(3), 324 (October 1767). (31E) Py Bernard, “Ra onnement Thermique des Metaux Microrugueux ou Dispers’es,”In!. J . Heat L o s s Transfer, 1 0 (12), 1735 (December 1967). (32E) Roesler F. C. “Theory of Radiative Heat Transfer in Co-Current Tube Furnaces,” b e m . k g . Sci., 22 (lo), 1325 (October 1967). (33E) Ross, G. “Calculation of Non-Uniform Radiant Flux to Tube Banks,” Trans. Inst. C h m . Engrs. (London), 45 (lo), CE272 (December 1967). (34E) Spicer R L. “Effect of Volumetric Absorption Coefficient on Rosreland Radiative h e a t T;ansfer,” Znt. J . Heat M a s s Tranrfer, 10 (8), 1049 (August 1967). (35E) Taniguchi, Hiroshi, “Tem erature Distributions of Radiant Gas Calculated by Monte Carlo Method,” B u B J . S . M . E . , 10 (42), 775 (December 1967). (36E) Taylor T D. “Radiative Ener Transfer Through Non-Gray Gas Layers of Small Obtidal ‘fhickness,” Int. J . %at Mass Transfer, 10 (5), 655 (May 1967). (37E) Torrance K. E. and Sparrow, E. M., “Directional Emittance of an Electric Non-Conductbr as a )Function of Surface Roughness and Wavelength,” ibid. (12), 1709 (December 1767). (38E) Viskanta R. and Merriam R. L. “Shielding of Surfaces in Couettc Flow Against Radi‘atidn by Transpirition of an Absorbing-Emitting Gas,” ibid. ( 5 ) , 641 (May 1967). (39E) Wakao Noriaki and Kato, Koichi “Radiant Heat Transfer in Adiabatic Tubular Riactor Cohtaining GrayGas,”’J. Chem. E n s . Jupun, 1 ( l ) , 16 (February 1968). (40E) Wan L. S., and Tien, C. L., “A Study of Various Limits in Radiation HeatTransfer problems,” I n t . J. Heat Mass Transfer, 10 (lo), 1327 (October 1967). (41E) Weiner M. M. and Edwards, D. K., “Theoretical Expression of Water Vapor Speitral Emikvity with Allowance for Line Structure,” ibid., 11 ( l ) , 55 (January 1968). (42E) ,Winter, D. F., “Transient Temperatures OF Arra s of Plates and Cubes I Heat . Tranrfer, 89, Ser. C (431 373 (November 1967). Radiating in a Vacuum,” .
BOILING HEAT TRANSBER (1F) Andrews, D. G., and AI-Shahristani, H., “The Variation of Nucleate Boiling of Toluene with Liquid Velocity and Subcooling,” Cnn. J . Chem. Ens., 46 (l), 37 (February 1968). (2F) Bard, Yonathan, and Leonard, Edward F. “Heat Transfer in Simulated Boiling,” Int. J . Heat Mass Transfer, 10 (12), 172? (December 1967). (3F) Bell K. J. “The Leidenfrost Phenomenon: A Survey,” Chern. Eng. Pr0.g. Symp. &,, 63 (79), 73 (Heat Transfer with Phase Change) (1967). (4F) Bennett, A. W., Hewitt G F., Kearaey, H. A,, Keeys, R. K. F., and Pulling, D. J., “Studies of Burnou; in‘ Boilin Heat Transfer,” Trans. Inst. Chern. Engrs. (London), 4 (a), T319 (October 19f7). (5F) Bethel Howard E., “A Generalized Galerkin-Kantorovich Treatment of Transien; Evaporation Through a Finite Region,” Znt. J. Heat Mars Transfer, 10 ( l l ) , 1509 (November 1967). (6F) Bornhorst W. J. and Hatsopoulos G. N. “Bubble-Growth Calculation without Negfect of Ihterfacial Discontiiuities,” ’J. Appl. Mech., 34, Ser. E (4), 847 (December 1967). (7F) Chawla J. M. “Heat Transfer and Pressure Drop on Evaporation of Refrigerant in’a Horiaontal Flow Tube,” Chem.-Ing.- Tech., 40, 229 (March 1968). (8F) Chisholm D. “Pressure Gradients During the Flow of Incompressible TwoPhase Mixtu;es ‘fhrough Pipes, Venturis and Orifice Plates,” Brit. Chem. Eng., 12 (7), 1368 (September 1967). (7F) Chisholm, D., “.4,Theoretical Basis for the Lockhart-Martinelli Correlation for Two-Phase Flow, Int. J. Heat Mass Transfer, 10 (121, 1767 (December 1967). E R and Merte H “Boiling Heat(10F) Elrod, W. C., Clark, J. A,, ,$dy Transfer Data at Low Heat Flux, J. ffeai TiAnrfer, 89, Se;. C”(3), 235 (August 1967). (11F) Eschweiler, J. C., Bcnton, A. M., and Preckshot, G. W., “Boiling and Convective Heat Transfer at Hi h Accelerations,” Chem. Eng. Progr. Symp. Ser., 63 (79), 66 (Heat Transfer with f’hase Change) (1967). (12F) ,Frost, Walter, and Dzakowic, G. S. “Graphical Estimation of Nucleate Boiling Heat Transfer,” IND. END.CHEM.’.PROCESS DES. DEVELOP., 6 (3), 346 (July 1967). (13F) Frost Walter, and Ki penhan, C. I., “Bubble Growth and Heat-Transfer Mechanilms in the Force8 Convection Boilin of Water Containing a Surface Active Agent,” Znt. J. Heat Mass Trunsfer, 10 931 (July 1967). (14F) Gloyer, Walter, “A New Look a t Two-Phase Flow,” Chem. Eng., 75 (l), 93 (January 1968). (15F) Gri or’ev L. N. Khairullin I. Kh. and Usmanov A G. “An Experirncntal Study o? the kriticil Heat Flu; in thk Boiling of Bin)ar; Mixtures,” Znt. Chem. Eng., 8 (l), 39 (January 1968). (16F) Gri or’cv, L. N., Sarkisyan, L. A., and Usmanov, A. G., “An Experimental Study ofHeat Transfer in the Boiling of Three-Component Mixtures,” ibid., p 76. (17F) Hammitt, F. G., Robinson, M. J., and Lafferty, J. F., “Choked-Flow Analo y for Very Low Quality Two-Phase Flows,” Nucl. Sci.Eng., 29 ( l ) ,131 (July 1867, .. ..,. (18F) Hayama Shinji “A Study on the Hydrodynamic Instability in Boiling Channels ” (Third deport, The Modes of Vibration in Multi-Channel System and the Reverse Flow), Bull. J.S.M.E., 10 ( 3 8 ) , 308 (April 1967). (19F) HayaFa, Shinji “A Study on the Hydrodynamic Instability in Boilin Channels (Fourth keport, Experimental Results), Bull. J.S.M.E., 10 (38), 328 (April 19k7). (20F) Heled, Yitzhak, and Orell, Aluf, “Characteristics of Active Nucleation Sites in Pool Boiling,” Znt. J. Hent M a s s Transfer, 10 (4), 553 (April 1967). (21F) Henley J. J and Hummel R L. “A Third Factor in Boiling Nucleation,” IND. END.~HEM.;)FUNDAM., 6 (4), 603 (November 1967). (22F) Hewitt H . C. and Parker J D. “Bubble Growth and Collapse in Liquid Nitrogen,” Heat’Tranrfer, 90,’Se;. C,’ 22 (February 1968). (23F) Hodgson, A S “Forced Convection Sub-Cooled Boiling Heat Transfer with Water in an Elkc&cally Heated Tube’at 100-550 Ib/inz,” Trans. Inst. Chem. Engrs. (London), 46 (215), T25 (January-February 1968). (24F) Ivey H J. “Relationships Between Bubble Frequency Departure Diameter and Rise’Vc‘loc?ltyin Nucleate Boiling,” Znt. J. Heat Mass ’Transfer, 10 (8), 1023 (August 1967). (25F) Jansen, F., “Comportement Dynamique Des Bulles De Vapcur En Re‘gime
a),
>,
D’kbullition Sous-Sature‘e,” Chem. Eng. Sci., 22 (12), 1779 (December 1967). (26F) Kesselrin R. C., Rosche, P. H. and Bankoff, S. G., “Transition and Film Boiling from &orizontal Strips,” A.I.8h.E. J . , 19 (4), 669 (July 1967). (27F) Koide, Kozo, Hirahara, Teru asu, and Kubota, Hiroshi “Avera e Bubble Diameter, Slip Velocity and Gas &old-Up of Bubble Swarm;,” Kagafu Koguku, 5 ( l ) , 38 (Spring 1967). (28F) Koide Kozo and Kubota Hiroshi “Friction Factor in Vertical Bubbleand Slug-E$ow,” kuguku Koguku,’5 (l), 731 (Spring 1967). (29F) Kovalev, S. A. “On Methods of Stud ‘n Heat Transfer in Transition Bpiling,” Int. J . Heui Mass Transfer, 11 (2), 27?(#ebruary 1968). (30F) Krejsa, E. A,, and Grace, T. M., “Boiler Loop Instabilities,” Instrum. Contr. Syst., 41 (3), 91 (March 1968). (31F) Kroeger P G., and Zuber, N., “An Analysis of the Effects of Various Parameters & ;he Average Void Fractions in Subcooled Boiling,” Int. J . Heat Mass Transfer, 11 (2), 211 (February 1968). (32F) Lee, D. H. “Boiling Burnout-A Review of Recent Work,” Brit. Chem. Eng., 12 (9), 1363 (Skptember 1967). (33F) Levy, S., “Forced Convection Subcooled Boiling-Prediction of Vapor Volumetric Fraction,” Int. J. Heat Mass Transfer, 10 (7), 951 (July 1967). (34F) Lienhard J H., “Interacting Effects of Geometry and Gravit Upon the Extreme Boidng‘Heat Fluxes,” J. Heut Trunsfer, 90, Ser. C (l), 188 (February 1968). (35F) Nangia, K. K., and Chon, W. Y.,“Some Observa:+ns on the Effect of Interfacial Vibration on Saturated Boiling Heat Transfer, A.I.Ch.E. J . , 19 (5), 872 (September 1967). (36F) Nishikawa, Kaneyasu, Kusuda, Hisao, Yamasaki, Ken’ichi, and Tanaka, Katsunori “Nculeate Boiling at Low Liquid Levels,” Bull. J.S,M.E., 10 (38), 328 (Aprii 1967). (37F) 0 asawara, Hideo, “A Theoretical Prediction of Two-Phase Critical Flow,” rbrd. p %79. (38F) Orell, Aluf, “On S-Shaped Boiling Curves,” I n t . J. Heat Mass Trunsfer, 10 (7), 967 (July 1967). (39F) Rosner D. E “Enhancement of Diffusion-Limited Va orization Rates by CondensatiAn witgin the Thermal Boundary Layer. 1. +he Critical Supersaturation Approximation,” kbid. (9), 1267 (September 1967). (40F) Rouhani S. Z. “Calculation of Steam Volume Fraction in Subcooled Boiling,” J. keut Trdnsfer, 90, Ser. C ( l ) , 158 (February 1968). (41F) Ruckenstein E., “Film Boiling on a Horizontal Surface,” Int. J . Heat M u s s Transfer, 10 (7), $11 (July1967). (42F) Sciance, C. T Colver, C. P., and Slie cevich, C. M., “Nucleate Pool Boilin and Burnout of Liquefied Hydrocarbon 8ases,” Chem. Eng. Progr. Symp. Ser., 68 (77), 109 (1967). (43F) Sciance C T. Colver C. P. and Sliepcevich C. M. “FilmBoiling Measurements and ’cokelation fdr LiqLefied Hydrocarbon G&,” ibid., p 115. (44F) Shotkin, L. M. “Stability- Considerations in Two-Phase Flow,” Nucl. Sci. Ene., 28 (3), 317 (J&e 1967). (45F) Staub F. W., “The Void Fraction in Subcooled Boiling-Prediction of the Initial Point of Net Vapor Generation,” J . Heat Transfer, 90, Ser. C (l), 151 (February 1968). (46F) Staub F W. and Zuber N., ,“Void Response to Flow and Power Oscillations in a’F‘drced-Convection Boilin System with Axially Nonuniform Power Input,” Nucl. Sci. Eng., 30 (2), 279 ( d v e m b e r 1967). (47F) Staub F W., Zuber N., and Bijwaard G., “Experimental Investigation of the Trans& Res onse bf the Volumetric ’Concentration in a Boiling ForcedFlow System,” ibidf: p 296. (48F) Sterman, L. S., and Vilemas, Yu., “The Influence of the State of Heatin Surface on Heat Transfer at Boiling,” Int. J . Heat M u s s Trunsfer, 11 (Z), 349 (Frhruarv --- -- - , 1968). - ,(49F) Styushin, N. G., and Varshnei, B. S., “Studies of Heat-Transfer Rate of a Subcooled Boiling Liquid in Tubes,” Int. J . Heut M u s s Transfer, 10 (lo), 1349 (October 1967). (50F) Torikai Kinichi “Heat Transfer in a Contact Area of a Boiling Bubble on a Heating Surface,” Bill. J.S.M.E., (38), 338 (April 1967). (51F) Torikai, Kinichi, “Coefficient of Heat Transfer in Pool Boiling,” rbid. p 817. (52F) Torikai Kinichi and Yamazaki Toshi “Dry State in a Contact Area of a Boiling Bubile on a keating Surface,” iltd., ’p 349. (53F) Ueda, Tatsuhiro “On Upward Flow of Gas-Li uid Mixtures in Vertical Tubes” (First Report,’Experiment and Analysis of the %low State), rbrd. 10 (42), 989 (December 1967). (54F) U s l a Tatsuhiro “On Upward Flow of Gas-Li uid Mixtures in Vertical Tubes (Second Re ’ort, Consideration of Frictional%ressure Drop and Void Fractibn), rbid., p lo&, (55F) Ueda Tatsuhiro and Hanaoka Masanori “On Upward Flow of Gas-Liquid Mixtures h Vertical h b e s ” (Third’Report, Hkat Transfer Resulta and Analysis), rbrd., p 1008. (56F) Van Stralen S J D “The Mechanism of Nucleate Boilin in Pure Li uids and in Binar Mi&u;es2Part 111,” Int. J . Heat Mass Trans&, 10 ( l l ) , 7469 (November lr67). (57F) V a l Stralenl S. J. D., “The Mechanism of Nucleate Boiling in Pure Liquids and in Binary Mixtures-Part IV. Surface Boiling,” rbtd., p 1485. (58F) Wallis G. B “Use of the Reynolds Flux Concept for Analysing OneDimensional TwdlPhase Flow. Part I. Derivation and Verification of Basic Analytical Techniques,” ibid., 11 (3), 445 (March 1968). (59F) Wedekind G L and Staeckrr W. F. “Theoretical Model for Predicting the Transient ’Respo&e of the Mi&ure-Va)por Transition Point in Horizontal Evaporating Flow,” J. Heot Trans&, 90, Ser. C (l), 165 (February 1968). (60F) Zuber Novak and Staub F W. “An Analytical Investigation of the Transient kespons6 of the Voldmekc &oncentration in a Boiling Forced-Flow System,” N u l . Sci. Eng., 90 (2), 268 (November 1967).
.-
CONDENSATION (1G) Berman L. D Letter to the Editor “ O n the Effect of Molecular-Kinetic Resistance b p o n g e a t Transfer with CoAdensation,” Int. J . Heat Mass Trumfer, 10 (10). 1463 (October 1967). (2G) Brcklcy L A Porter J W. and Read S M “Promotion ofDrop-By:Droo Condensatidn b &earn frbm S e i Water : 0 a’Ve;tical Copper Tube,’ A I C h J., 14 (2), 245 (March 1968).
(3G) Choi H Y “Electroh drodynamic Condensation Heat Transfer,” J . Heat Trunsfer,’9O,’Se: C (11, 98 [February 1968). (4G) Citakoglu, E., and Rose J. W., “Dropwise Condensation-Some Factors Influencing the Validity of heat-Transfer Measurements,” Int. J . Heat M a s s Tronsfer, 11 (3), 523 (March 1968). (5G) Gerstmann Joseph and Griffith Peter “Laminar Film Condensation on the Underside bf H o r i z h a l and Inclined Sdfaces,” ibid., 10 (5), 567 (May 1967). (6G) Griffith Peter and Lee M. S “The Effect of Surface Thermal Properties and Finish on 6ropwi’se Conde&atio$” ibid., p 697. (7G) Johns L E Jr., “Growth of Liquid Dro in Subcooled Vapor Mixture,” IND.E N GCLEM:, ~ FUNDAM., 6 (4), 607 (Novernier 1967). (8G) Krpger, D. G,., and Rohsenow W M “Film Condensation of Saturated Potassium Vapor, Int. J . Heat M u i s TrLnsfi;, 10 (12), 1891 (December 1967). (9G) Kroger, D. G and Rohsenow, W. M “Condensation Heat Transfer in the Presence of a No&2ondensable Gas,” i d , 11 ( l ) , 15 (January 1968). (1OG) Leppert, G., and Nimmo, B., “Laminar Film Condensation on Surfaces Normal to Body or Inertial Forces,” J . Heat Trunsfer, 90, Ser. C ( l ) , 178 (February 1968). (1 1 G) Martin, J. R., Czikk, .4. M., and Paul, R. S., “Condensation of Nitrogen on a Flat Plate Under Multi-G Accelerations,” Chrm. Eng. Progr. S)mp. .Ser,, 63 (79), 52 (Heat Transfer with Phase Change) (1967). (12G) Mills A. F. and Seban R. A. “The Condensation Coefficient of Water,” I n t . J . Heit Mass’ Transfer, Id (12), i815 (December 1967). (13G) Poots G. and Miles R. G., “Effects of Variable Physical Properties on Laminar hn’Condensati6n of Saturated Steam on a Vertical Flat Plate,” ibid. p 1677. ( l i G ) Puzyrewski Romuald “Perturbation Analysis of Condensation Controlled by Heat Transfir on Large)Droplets,” ibid., p 1717. (15G) Rai, V. C., and Pinder, K. L. “Direct Contact CoyLensation of Steam in a Packed Column with Immiscible k e a t Transfer Agents, Can. J . Chem. Eng., 45 (3). 1967). . . . 170 (June . (16G) Rose, J. W., “On the Mechanism of Dropwise Condensation,” Int. J . Heat M u s s Transfer. 10 (6). 1967). . , 755 (June . (17G) Tanner, D. W Pope, D Potter, C. J., and West, D., “Heat Transfer in Dropwise Condensa’;ion a t Lo; Steam Pressures In the Absence and Presence of Non-Condensable Gas,” ibid., 11 (Z), 181 (February 1968). I
,
LIQUID METAL HEAT ,TRANSFER (1H) Borishanskii, V. M., Gotovskii, M. A and Firsova fi V “Heat Exchange when a Liquid Metal Flows Longitudinalyy Through a bundle’of Rods Arranged in a Triangular Lattice,” Sov. At. Energy, 22 (4), 399 (April 1967). (2H) Coombs J S. Gibbon W. M. and Probert S D “Convective Heat Transfer ThrougL Liquid Metal;,” Ched. Process Eng.,’49 (3$, 96 (March 1968). (3H) Cummings R L “Design Problems with Liquid Metal Heat Exchangers,” Chem. Eng. Proir.,’64’?3), 73 (March 1968). (4H) Emery, A. F., and Bailey D A “Heat Transfer to Fully Developed Liquid Metal Flow in Tubes,” J . HeAt ?r&fer, 89, Ser. C (3), 272 (August 1967). (5H) Hsu Chia-Jun “Analytical Stud of Heat Transfer to Liquid Metals Flowing Aloig a Row ohpheres,” Int. J . &at Muss Transfur, 10 (12), 1693 (December 1967). (6H) Hsu Chia-Jung “Liquid-Metal Heat Transfer in a Parallel-Plate Channel with PekodicBoundary Conditions,” Nucl. Sci. Eng., 28 (2), 301 (May 1967). (7H) Inman R. M., “Theoretical Investigation of the Effect of an Internal Heat Source on’Turbulent Liquid Metal Heat Transfer in a Channel with Uniform Heat Flux,” Apgl. Sci. Res., 18 (6), 460 (March 1968). (8H) Kalish, Sheldon, and,?wyer, 0. E., “Heat Transfer to NaK Flowin Through Unbaffled Rod Bundles, Int. J. Heat Mass Transfer, 10 ( l l ) , 1533 (kovember 1967). (9H) Subbotin, V. I Ushakov, P. A. Zhukov, A. V., and Talanov, V. A., “The Temperature DistAbution in Liqdd Metal Cooled Fuel Elements,” Sou. At. Energy, 22 (5), 468 (May 1967). (10H) Witte L. C., “An Ex erimental Study of Forced-Convection Heat Transfer from a Sphere to Liquid &odium,” J. H u t Trunsfer, 90, Ser. C (l), 9 (February 1968). PACKED BEDS, FLUIDIZED BEDS, AND POROUS MEDIA (11) Babcock, R. E., Perry,,R. H., an$,Crosser, 0. K., “Longitudinal Eddy Mixin Ser., 63 (77), 105 of Thermal Energy in Fixed Beds Chem. Eng. P r o y . (Fundamental Research on Heat i n d Mass Transfer (1 6 ) (21) Barker, J. J., and Harriott, P., Comments on “Heat Transfer in Fluidized Beds,” IND.ENG.CHEM.,59 (4), 59 (April 1967). (31) Cloete F L. D. Miller A. I and Streat M. “Dense Phase Flow of SolidsWater Mlxtbres T h o u h Qertiiil Pipes,” T;ans.’lnst. Chem. Engrs. (London), 45 (lo), T392 (December 8967). (41) Cosgrove J H., Ferrell J K., and Carnesale A “0 eratin Characteristics of Capillarily-Limited H e i t Pipes,” J . Nucl. Ene;gy,’il 547 ?July 1967). (51) Findley M C. “Vaporization Throu h Porous Membranes,” IND.ENG. CHEM.,P~OOES’S Dds. DEVELOP., 6 (2), 226 ?April 1967). (61) Gal-Or B. “Coupled Heat and Multicom onent Mass Transfer in Particulate S;ste& With Residence Time and Size Eistributions,” Int. J . Heat M u s s Transfer, 11 (3), 551 (March 1968). (71) Gal-Or Benjamin and Walatka Vernon “A Theoretical Analysis of Some Interrelatibnships and Mechanisms ’of Heat And Mass Transfer i n Dispersions,” Chem. Eng. Progr. Symp. Ser., 62 (77), 126 (1967). (81) Gillespie B. M. Crandall E D and Carberry, J. J., “Local Heat Transfer in a Randoml; Packgd Bed of S)pherei,” ibid., p 136. (91) Harriott, P., and Barnstone, L. A,, “Heat Transfer in Fluidized Beds,” IND. ENG.CHEM.,59 (4), 55 (April 1967). (101) Khokhani K. H., and Morgan R. P., “Some Improvements to the,Theory Chem. of the Submgrged Evaporative IAerface with Ap lication to Dryin Eng. Progr. Symp. Sm., 63 (79), 14 (Heat Transfer wit: Phase Change) (lF67). (111) Kuchanov, S.I., and Levich, V. G., “Energy Dissipation in a Turbulent Gas Containin Suspended Particles,” Sooiet Phys. “Dokludy” (English Trunsl.), 12 (6). 1967). . ., 549 (fjecember . (121) I’Int. J . Heat M a s s Transfer, 11 (Z), 155 (February 1968). (36J) Standart, G., “The Effect of Surface Chemical Reactions on Interphase Mass and Energy Transfer,” Chem. Eng. Sci.,22 (121, 1655 (December 1967). (375) Steiner, R., Wohler, F., and Schoenemann, K., “Hochdruckpolymerisation von Aethylen Mit Azo-Bis-Isobutyronitril Als Initiator,” ibid. (4), 537 (April 1967). (385) ,Tone, Setsu’i, and Otake, Tsutao, “Thermal Decomposition of Solids in a Cylindrical Tand with Stirrer,” Kugaku Kogaku, 5 ( l ) , 58 (Spring 1967). (395) Tone Setsuji and Otake Tsutao “Analytical Prediction of Concentration and Temierature‘Profiles in h e Cataiytic Packed Tube,” ibid., p 171. (405) W a y F.,S., and Perlmutter, D. D., “A Composite Phase Plane for Tubular Reactor tability Studies,” A.I.Ch.E. J., 14 (21, 335 (March 1968). r
COUPLED TRANSPORT PROCESSES (1K) Arzm, .4..4.,and .\lor&an, R. P., “ A Trdnsient Two-Region llovlng Boundary .Ana!!& of rhc Drvin Process,” Chzm. En:, PrI*r. S;mp. Ser.’, 63 (791, 24 (Hear Transfer with Phase Ctange (19671. (2K) Chen S Y Aroest J. and Mobley R. “The Hypersonic Viscous Shock Layer wiih Mays Transrk,”’Int. J. Heat Mass’TransJer, 10 (9), 1143 (September 1967). (3K) DeSoto, Simon, “Coupled Radiation, Conduction and Convection in Entrance Region Flow,” ibid., 11 (l), 39 (January 1968). (4K) Dil’man V. V. “The Theory of Heat and Mass Transfer in Turbulent Flow,” Int. ?hem. E&., 8 (1). 156 (January 1968). (5K) Donovan L F Hanna 0. T. and Yerazunis, S. “ S p l a r Solutions df Turbulent Bdunhar;’Layer Heat and’Mass Transfer Problkms, Chem. Eng. Sci., 22 (4), 595 (April 1967). (6K) Goldstein, M. E., Yang, Wen-Jei, and Clark, J. A. “Momentum and Heat Transfer in Laminar Flow of Gas with Liquid Droplet Sbspension over a Circular Cylinder,” J. Heat Trom.fr, 89, Ser. C (2), 185 (May 1967). (7K) Narasimhan, C., and Gauvin W. H. “Heat and Mass Transfer to Spheres in High Temperature Surroundings),” Cun. 3. Chem. Eng., 45 (4), 181 (August 1967). (8K) Nordon, P., and David, H . G., “Coupled Diffusion of Moisture and Heat in HygroscopicTextile Materials,” Int. J. Heat Mass Transfer, 10 (7), 853 (July 1967). (9K) Sandall 0. C Kin C. J. and Wilke C R “The Relationship Between Transport bro e r h s a n 3 Rates’of Freeze-D>yiAg d: Poultry Meat,” A.I.Ch.E. J., 13 (31, 428 ( d a y 1967). (10K) Sparrow, E. M., and Spalding, E. C. “Coupled Laminar Heat Transfer and Sublimation Mass Transfer in a Duct,”’J. Heat Transfer, 90, Ser. C (I), 115 (February 1968). (11K) Srandirr, G., “The Second Law of Thcrmod namics for Hcrcro encous Inrerphasc Heat and Mass Jransfer and rhc 8nsagcr Flow Systems-11. Relations,” Chrm. Eng. Sa., 22 112), 1627 (December 1967). (12K) Valakhonova V. I “Investigation of Heat and Mass Transfer Processes During Liquid EvLporatyon from a Free Surface into a Rarefied Gas,” Int. Chem. Eng., 7 (3), 471 (July 1967).
