Heat Transfer

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JAMES K. FERRELL EDWARD P. STAHEL

annual review

Heat Transfer Advances in convective, conductive, and radiation heat transfer have kept pace with other areas of progress in basic heat transfer research, as demonstrated @ the reviewed and evaluated literature he major conference of the year in the field of heat Joint Heat Transfer Conference, held in Cleveland, Ohio, in August 1964, when 86 papers were presented. Although not in the period covered by this review, the eighth joint conference was held in Los Angeles in August 1965, with a total of 107 papers presented. It should also be mentioned that the Third International Heat Transfer Conference will be held in August 1966, in Chicago, Ill. This review covers the year preceding March 1965, with references being those of greatest utility to the chemical process industry.

Ttransfer was the Seventh A.1.Ch.E.-ASME

Thermal Properties and Measurements

Most of the papers listed in the bibliography were concerned with either the measurement of the thermal conductivity of various materials or with techniques for the measurement of temperatures. Several papers describing interesting techniques for measuring thermal conductivity and thermal diffusivity are listed in Table I, together with several reported methods for predicting these properties. Barber (7A) reported on a conference on the measurement of high temperatures, held in London in May 1964, and Goldsmid (IOA) reported on a thermal conductivity conference held in Teddington in July 1964.

Conduction Heat Transfer

During the past year a n increasing number of papers were published which could be classified under the heading of conduction heat transfer-more than had appeared for the past several years. A number of these described approximate methods for solving the conduction equations (5C, 73C, 7 4 2 , ZSC, 28C). Tien (28C) described an interesting approximate method which consisted of a n application of the finite-difference approximation in one physical coordinate and an analytic solution in other coordinates. The inverse problem in transient heat conduction was treated by a numerical method (26C). An exact solution of the inverse problem was also obtained (3C). A number of different approximate methods were compared for the conduction problem with radiation boundary conditions

(5C)

0

A number of general analytical methods were described for obtaining solutions to the heat conduction problem (6C, SC, 75C, 76C, ZOC, 22C, 23C). I n a n interesting class of conduction problems, Horvay ( 7OC, 77C) presented solutions for a cool slab of metal dipped into a bath of molten metal, and for a cylindrical rod traveling from a chamber at one temperature to a chamber at another temperature.

Material

References

Solid materials Porous media and beds of solids Gases and liquids

(7A,IIA, ISA,ZlA,22A) (5A,SA, 1ZA) (6A,13A,14A,16A,17A,19A, 20A)

____

Heat Transfer in Equipment

Research activity and development involving heat transfer in process equipment continued last year a t a fairly high level. Most of the work was concerned with heat exchanger equipment, although other process equipment received a fair amount of attention. Also included this year are several general papers involving heat transfer in nuclear reactor equipment. Most of the papers listed in the bibliography are classified in Table 11.

Equipment

References

Air cooled Concentric tube Fin tube Shell and tube Condensers S ecial types ermosyphon Process vessels Evaporators Nuclear reactors

(9B,708) (328 344 39B) @E, 25s) (15B 238, 33B,36B,38B) ( 1 7B’t ( I l B , 728, 14B, ZZB,37B) (IB,ZIB) (4B-6B) @OB) (3B,ISB, 79B,27B, 288,30B)

&

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laminar Flow

Entrance Regions

Studies in specialized configurations are summarized in Table 111. Special attention is drawn to the novel approach of Sastry ( 1 0 9 0 ) on the problem of noncircular conduits. H e proposes a formal solution based on a mapping function, which conformally maps the cross section of the channel onto the unit circle. Of fundamental interest are two numerical solutions for the laminar boundary layer of improved accuracy ( 6 3 0 , 980). Benedict ( 9 0 ) considers the degree of approximation when compressible flows are evaluated from incompressible relations. Expansion factors are derived and numerical examples given. Temperature distributions for flow in heated channels were obtained for unequal heat addition on adjacent sides (1100) and a heat generating fluid ( 9 3 0 ) . Heat transfer in curved pipes was the subject of a theoretical study (910)as the Dean number and Prandtl number increase, heat transfer increases asymptotically. Experimental verification confirms the accuracy of the integral analysis of laminar heat transfer in a n annulus with developing velocity and temperature profiles (500). T h e excellent agreement marks the culmination of four years of study by the authors.

Sparrow and co-workers (730, 830, 1260) report analytical solutions of broad applicability. A general method is outlined for ducts of any arbitrary crosssection. Calculation of pressure drop, rather than requiring knowledge of the developing velocity profile, requires only a knowledge of the fully developed profiIe. For annular ducts the analysis provides the development of the velocity profile as well. Various geometrics are considered and numerical results given for a wide range of Reynolds and Prandtl numbers. n’umerical or analytical solutions have also been reported for constant wall heat flux, constant wall temperature (1420), high Prandtl numbers ( 1 3 6 0 ) , and pseudoplastic materials ( 8 0 0 , 8 9 0 , QQD),all in the laminar flow region.

Turbulent Flow

The current literature on turbulent heat transfer continues to be voluminous; where possible, studies of specific geometrics are classified in Table IV, and no attempt will be made to discuss studies individually. Typical of the good experimental data being published are the data of Allen and Eckert (30). Hydrodynamically developed turbulent flow in a uniformly heated tube was studied. Excellent agreement was observed with three published analytical developments for specific ranges of conditions. Interest continues on a fundamental level in heat transfer across a turbulent boundary layer (for example, 4 6 0 , 7 2 2 0 ) as well as on practical level as typified by the study of surface roughness (410, 580, 1190). Natural Convection

Most of the effort during the past year was on solving the mathematical problems associated with natural convection in simplified configurations under increasingly more complex conditions. Table V summarizes a number of investigations that can be associated with specific configurations. Stuart (1300) gives a n excellent discussion of cellular patterns in natural convection and their correspondence to the periodic mathematical solutions of proposed models. He warns against hasty comparisons and gives examples of erroneous correspondence for the “rectangular” cell proposed by linearized theory. Asymptotic solutions are presented for the unsteady Graetz problem (540) as a function of time and axial distance. Stability studies are reported (690, 96D, 1180, 1240) on the onset of convection and on conditions for which specific cellular modes are observed. 64

INDUSTRIAL A N D ENGINEERING CHEMISTRY

Effects of External Forces

Effect of high frequency vibrations on convective heat transfer continues to be reported (480, 520, 560, 650). Heat transfer coefficients were found to increase (within limits) with frequency and amplitude. Blankenship and Clark (140-760) report the results of analytical and experimental studies of laminar free convection from a vertical plate subject to transverse vibrations. The results of both the perturbation analysis and experiment indicate a slight decrease in laminar convective heat transfer coefficients. However, significantly, the oscillations force the flow to become turbulent resulting in large increases in heat transfer rate. Interest in heat transfer associated with magnetohydrodynamics continues on a theoretical level (300, 620, 760, 1200, 1460, 1470). Little experimental data were reported in the last year. Rotating Surfaces

Characteristics of flow near rotating surfaces both laminar (250, 9ZD) and turbulent ( 4 0 , 7350) are clarified. Investigations were also broadened to consider stability (1440) and transient conditions of surface temperature (200, 1140, 1370). Studies are subdivided by configuration in Table VI. High Velocity Heat Transfer

Among the most interesting papers published on this topic in the past year were those dealing with factors influencing stagnation point heat transfer. Kalashnikov (570)considers the influence of injecting a liquid into high-velocity gas flow resulting in a redistribution of stagnation temperatures in the resulting two-phase turbulent flow. Suction ( 1 0 8 0 ) and gas injection (1270) effects on the boundary layer in stagnation flow

J . K. Ferrell is Professor and E. P. Stahel is Assistant Professor of the Chemical Engineering DeAUTHORS

partment at North Carolina State University. T h i s is the second I g E C Heat Transfer review which they have coauthored. T h e authors acknowledge the assistance of M r s . Pat Sell, who helked considerably with the literature search.

TABLE 1 1 1 . CONVECTIVE HEAT TRANSFER: L A M I N A R FLOW I N SPECIALIZED CONFIGURATIONS References

Conjguratzons

(10, 9 3 0 , 1 1 3 0 )

Plates, walls, strips Noncircular ducts Annular flow. coil flow Wakes

TABLE I V .

(1090, 1 7 0 0 ) (500, 9 1 0 , 1 2 3 0 ) (1210)

TURBULENT FLOW IN SPECIALIZED CON F IG U RAT t ONS

~~~~

I

Configuration

References ( 6 0 , 7 0 , 180, 2 6 0 , 4 6 0 , 4 7 0 , 6 4 0 , 8 2 0 , 8 6 0 )

Parallel plates Cylinders, screens Annuli Spirals Jets, notches Ducts Fins

( 5 9 0 , 7 2 0 , 175D) (ZD,17D, 1 3 2 0 , 1 4 8 0 ) (7050) ( 2 0 , 5 D , 350, 1 4 5 0 ) ( 7 7 0 , 8 6 0 , 9 4 0 , 1070) (1250, 1470, 1430)

Radiation Heat Transfer

A wealth of interesting and important papers was published on the subject of thermal radiation. Rather than attempt to discuss listed references individually, we are classifying them_ in Table VII.

Horizontal, verticle and inclined planes

(100 3 9 0 4 0 0 4 3 0 4 4 0 4 9 0 6 6 0 , 67b, 71b,8 R D , l l i D , lT'80, I 3 4 D )

Fins Spheres and cylinders Heated enclosures

(810) (130, 2 1 0 , 4 0 0 , 6 0 0 ) (840, 9 5 0 . 1 0 3 0 )

TABLE VI.

I

M ROTATlNG

HEAT TRANSFER SU R FAC ES

REFERENCES ON RADIATION HEAT TRANSFER

TABLE V I I .

I

Subject

References

~~

Effect of surface roughness on reflected radiation Heat transfer to a flowing radiation absorbing gas Combined radiation and conduction Gas-filled enclosure Radiation from fins Radiation betwren surfaces

TABLE V I I I .

(ZE, 3 E ) ( 5 E , 6 E , 8 E , l Z E , 22E, 2823) (10E, 15E, 24E, 2 9 E ) (17E, 73E19E), ( l E , 17E, 2 Z E ) W E )

REFERENCES O N B O I L I N G HEAT TRANSFER

Subject Pool boiling Theorv

Bubbi6 behavior

Boiling mixtures Critical heat flu-x Film boiling Heat transfer coefficients Low gravity Convection boiling Thrnrv

Heat transfer coefficients Mechanism of two-phase flow Critical heat flux Subcooled boiling

workers concerned with heat transfer. Once again this were published on the year a large number of papers . . subject. I t seems fair to state that progress continues to be made in achieving a n understanding of the mechanism of pool boiling, but in spite of a large research effort, progress on the much more complex forced convection boiling is slow. The papers listed in the bibliography are classified in Table VIII.

--

Condensation

Surface Spheres, cylinders, and tubes Disks, plates Cones

- .."_. ,

have decisive effects on heat transfer and have been reported for broad ranges of conditions. Sutera (13?D) in his study of the effect of large scale vorticity on the boundary layer, has found that such vorticity although present in small intensity in the on-coming flow may be amplified and induce substantial three-dimensional effects. He reports vorticity inputs that increase wall shear rates of less than 3% are capable of increasing wall heat transfer rates of 40%. The presence of a rrmgnetic field has been found by Luthera ( 7 4 0 ) to decrease the heat transfer instagnation point flow for electrically conducting fluids.

I

References (33F, 43F. 45F, 52F, 5 3 F ) (3F, 2 l F , 28F, 37F, 39F, 5 4 F ) (23F, 25F, 67F, 69F, 7 3 F )

g 2" (76F: 35F, 44F, 48F, 50F, 6 6 F ) (36F) (38F, 5 7 F )

I (SF,

16711)

'14F, 15F, 17F, 31F, 4 6 F ) (2F 7F 13F 19F 24F 26F 27F 30F-32F 4?F, 66F, 4!9F, 5 j F , 56F, 5&, 5Q$, 62F, 63F: 72F 74F 7 5 F ) (4F-6$, S F L l l F , 17F, 64F, 68F) (55F)

A number of interesting research results on condensation were reported this year, including four papers (ZG, ?3G, 16G, 17G) investigating dropwise condensation. The first of these (2G) covers quantitative measurements made using a tube coated with Teflon. The second (13G) presents a discussion of the mechanism of dropwise condensation centered around the active centers on which drops are formed. The remaining two present the results of a promoted dropwise condensation for a variety of conditions including the effects of heat flux, steam velocity, and noncondensable gas. Laminar film condensation on a porous surface with a uniform suction velocity was the subject of two papers (3G, 8G). A theoretical study of condensation in the presence of a noncondensable gas was presented (?5G), and a report of data for condensation from saturated air streams on vertical tubes in a bank was given (74G). An interesting experimental study of steam condensing on a laminar water sheet was reported (5G), and the effect of inclination on the condensing coefficient was measured (4Gj. Liquid Metals Heat Transfer

I n the general area of liquid metal heat transfer, Dwyer reported on an analytical study of the general problem of heat transfer to liquid metals flowing between parallel plates (5H) and in a series of two papers (4H, VOL. 5 7

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6 H ) described the results of calculations for bilateral heat transfer to fluids flowing in annuli. The cases of slug, laminar, and turbulent flows were covered. A pair of papers by Hsu gives theoretical expressions for Nusselt numbers for heat transfer to liquid metals in crossflow through rod bundles (7H) and flow past spheres and elliptical rod bundles. Heat transfer to mercury flowing in line through rod bundles was also studied (9H). Boiling liquid metals were studied in forced convection liquid metal systems ( 73H, 74H), and the experimental results of measurements of slip velocity and two-phase mercury flow were presented ( I IH). Packed Beds, Fluidized Beds, and Porous Media

Papers in these areas are classified in Table IX. Noteworthy interest was shown in the heat transfer between surfaces and dispersed phases ( 7 1 , 21, 101, 741). Significant efforts are being made to study fluidized beds over a wide range of conditions. TABLE tX.

DISPERSED AND POROUS M E D I A ~~~

Sublect

I

Packed beds Fluidized beds Gas-solid suspensions in flow Porous materials

~.

References (122, 131) (11,31, 51,81-101, 141, 151) (21, 711) (41,61, 71, 131)

Heat Transfer with Chemical Reaction

Practical solutions to the problems of heat transfer and kinetics in chemical reactors are presented by three Germans (13J, 23J, 29J). Empirical approaches are given for scale-up and analog simulation employed in analyzing temperature control. Petersen and coworkers (8J, 2OJ) have considered catalytic reactions in concentration and temperature gradients. Steady state solutions were obtained and examined for stability. The stability of addition polymerizations coupled with heat and mass transfer was the subject of an exhaustive study ( I I J ) considering dozens of combinations of physical conditions. Solutions are presented for numerous complexities of kinetic mechanism and interfacial phenomena. A linearized film theory is found to describe adequately the heat transfer of a homogeneous gas phase reaction ( 3 J ) . The area of combustion reactions has received widespread interest. Rocket and other reacting gas systems are being treated by a variety of approaches. Models are incorporating more sophisticated kinetics with boundary layer flow and other transport equations (IJ, 4J, 7 J , 9J, IOJ, 75J-I8J, 26J, 28J, 30J). Coupled Transport Processes

During the past year investigators have employed various techniques to solve problems of simultaneous heat, mass, and momentum transfer. Yang (33K, 34K) reports exact solutions to the conservation equations for incompressible viscous fluids in spiral flow. Velocity, temperature, and concentration profiles were obtained 66

INDUSTRIAL AND ENGINEERING CHEMISTRY

by means of the similarity transformation technique. Gas-liquid transfer was investigated and expressions in all coordinate systems were derived for the transfer coefficients by a continuation of film and penetration theories (29K, 30K). Considerable generality was retained in constructing adjoint variational principles for unsteady convective diffusion of mass and heat treated as a passive scalar field (77K). The coupled processes were considered for flow in a frosted heat exchanger tube (6K) by treating the behavior as a finite thickness providing surface roughness similar to the rough pipe date of Nikuradse and von Karman. Squire (27K) achieved satisfactory agreement with experiments over complete Prandtl and Schmidt number ranges for turbulent heat and mass transfer in smooth pipes through a two-part analysis based on defect laws in a central core combined with a laminar sublayer. Heat and mass transfer from drops and spheres continues to be of interest (3K, 22K, 24K, 25K). A review of the extensive literature (22K) casts doubt as to the adequacy of published correlations and proposes a new empirical relationship based on new as well as existing data. Heinrich (9K) in a complementary investigation of heat and mass transport from cylinders sub,jected to transverse flow found no similarity between the transport processes. Heat and mass transfer in dispersed and porous media was the basis of several investigations (8K, IOK, 18K-ZOK). Sustained interest is also evident in the coupled processes at a gas-porous solid interface ( I K , 4K, 12K, 26K, 37K). BIBLIOGRAPHY Thermal Properties and Measurements (]A) Barber, C. R., “Conference on the Measurement of High Temperatures,” London, May 1964, Brit. J. Appl. Phys. 15 (9), 1003 (1964). (2.4) Bal;fett. R. E . , Hazard, H. R., “Problems in Flue-Gas Temperature Measurements, ASHRAE J. 7 (1), 88 (1965). (3A) Bianchi, G., Moretti, S., ”Behayiour of Thermocouples under Iriarliaiion,” 11 1,8,),. 426 (19641. Enerein Nucl. (Milan) , (4A) Bradfield, W.S., Hanson, A. R., Sheppard, J. J.. Jr., “Design, Calibration, and .4pplication of a Miniature Total Temperature Probe.” .J. Ifent 7 ‘ m n s f ~ r 86, Series C ( 3 ) , 452 (1964). (5.4) Butt, J. B., “Thermal Conductivity of POTOUS Catalysts,’’ A.I.C/I.E. .I. 11 (I), 106 (1965). (6.4) Cowling, T. G., “Heat Condmtivity of Polyatomic Gases,” Brit. J . Appl, Phys. 15 (X), 959 (1964). (7A) Eichhorn, R., “Effects of a Modificarion t o Angstrom’s lhiethod for the Detcrmination of Thermal Conductivity,” Intern. .J. H e a t .Wnss I‘ransfer 7 (6), 675 (1964). (8.4) Feldman, C. L., “Automatic Ice-Point Thermoco,iDle Reference Junction,” Instr. Control Systems 38 ( l ) , 101 (1965). (DA) Gabor, J. D., Stangeland, B. E.. Mecham, W. J., “Part 11. Heat Transfcr,” A.1.Ch.E. J. 11 (l), 130 (1965). (10A) Goldsm;:d, H. J., “Thermal Conductivity Conference, Piationa: Physical Laboratory, Teddington, July 1964, Brit. J . Appl. P h y . 15 (11), 1259 (1964). (1 1A) Harmathy, T. Z., “Variable-State Methods of Sleasuring the Thermal ProDerties of Solids.” , J.&ti. ‘. I‘hxs. , 35 (4). 1190 (1 , 9641. , (1%) Jaeger, J. C., Sass, J. H., “A Line Source Method for Measuring the Thcrmal Conductivity and Diffusivity of Cylindrical Specimens of Rock and Other Poor Conductors,” Brit. J.Appl. P h y . 15 (lo), 1187 (1964). (13A) Jamieson, D. T., Tudhope, J, S.: “A Simple Device for Measuring the Thermal Conductivity of Liquids with .Moderate Accuracy,” J.Inri. Petrol. 60 (486), p. 150 (1964). (14A) Jobst, M‘,,“Measurement of Thermal Conductixities of Organic Aliphatic I Hfot , .Mass 7 ronrjer Liquids by an Absolute Unsteady-State Method,” Intern. 7 (7), 725 (1964). (1%) Kharloamov, A . G., “Thermal Conductivity ofBeryllium Oxide in the 10002000O C. Range,” Soviet J . At. Enerxy I5 ( 6 ) , 1313 (1963). (16.4) Leidenfrost, IV., “iln Attempt to h4easure the Thermal Conductivity o Liquids, Gases, and Vapors with a High Degree of Accuracy over \Vide Ranges of Temperature (-180’ to 500“ C.) and Pressure (Vacuum to 500 Aim.),” Intern. J.Heat M a s s Transfer 7 (4), 447 (1964). (17.4) Mathur, G. P., Thodos, G.. “The Thermal Conducrivitv and Diffusiviry of Gasesfor Temperatures to 10,000’ K..” A.1.CA.E. J.11 ( l ) , 164 (1965). (18A) Penn, A . W., “The Corrections Used in the Adiabatic Measurement of Thermal Conductivity Using the Peltier Effect,” J. Sci. I n s t r . 41 (lo), 626 (1964). (19A)-Saxena, S. C., Saksena, M. P., Gambhir. R . S., “The Thermal Conrlucti,.ity of l o n p o l a r Polyatomic Gases:” Brit. J . A p p l . P h j r . 15 ( 7 ) : 843 (1164). (20A) Tait, R. W. F., Hills, B. A , . “Methods for Determining Liquid Thermal Conductivities,” IND.ENO.CIIEhi. 56 (?), 29 ( 1 9 6 4 ) . I

I

(21 A) Wheeler, M . J., “Thermal Diffusivity at Incandescent Temperatures by a Modulated Electron Beam Technique,” Brit. J . Appi. Phys. 16 (3), 365 (1965). (22A) Yoshizawa Y Sugawara, A,, Yamada, E., “Thermal Conductivity of Sulfur,” J . &pi: Pi&. 35 (4). 1354 (1964).

Heat Conduction Problems in a Resistance-Capacitance Electrical Analogue,” J . So. Znstr. 41 (9), 535 (1964). (5‘2) Gay, B “Comparison of Methods for Solution of the Heat Conduction Equation $ith a Radiation Boundary Condition,” Intern. J . Heat Muss Transfer 8 131. 507 11965). (6C) Hamill, T. D., Bankoff, S. G., “Similarity Solutions of the Plane Melting Problem with Temperature-De endent Thermal Properties,’’ IND. ENC. CHEM. FUNDAMENTALS 9 ( 2 ) , 177 (19647. (7C) Hardin R. H., “Heat Transfer through Low-Density Cellular Materials,” DESIGN DEVELOP. 3 ( 2 ) , 117 (1964). INn. ENC.&HEM. PROCESS (8C) Heaps, H. S., Srivastava, R. D., “Analytical Solutions of the Equation of Heat Conduction for a Nonhomogeneous Medium,” Can. J . Chem. Eng. 42 (3j, 120 (19641. - ,. (9C) Heasley, J. H., “Transient Heat Flow Between Contacting Solids,” Intern. J . Heat M a s s Transfer 8 (l), 147 (1965). (IDC) Horvay, G., “The Dip-Forming Process,” J . Heat Transfer 87, Series C ( l ) , 1 (1965). (11C) Horvay, G., Dacosta, M., “Temperature Distribution in a Cylindrical Rod Moving from a Chamber a t One Temperature t o a Chamber at Another Temperature,” Zbrd., 86, Series C (2), 265 (1964). (12’2) Joseph, D. D., “Non-Linear Heat Generation and Stability of the Temperature Distribution in Conducting Solids,” Intern. J . Heat Mass Transfer 8 ( 2 ) , 281 (1965). ardas A. “Errors in a Finite-Difference Solution of‘ t h e Heat Flow Equa(’%,KJ. H,ht ?ranr/er 86, Series C (4), 561 (1964). (14C) !,aura, P. A,, Chi, M., “A proximate Method for the Study of Heat Conduction inBarsof Arbitrary Cross gection,” Ibid., (31, p. 466. (15C) Zbid., “Heat Conduction in Wedge-Shaped Bodies. II.,” (9), p. 1207 119651. . . (16C) Lebedev N. N., Skal’skaya I. P. “Some Problems in the Theory of Heat Conduction +or Wedge-Shaped’ Bodiks. I.,’’ Soviet Phys. Tech. Phys. (English Transl.) 9 ( 5 ) , 614 (1964). (17C) Li, J. C. M. “Thermokinetic Analysis of Heat Conduction,” Intern. J . Heof Mass Transfer 7 (il), 1335 (1964). (18C) Lindholm, U. S., Baker, E. J., Kirkpatrick, R. C., “Transient Heat Conduction at High Thermal Flux,” J . Heat Transfer 87, Series C (l), 49 (1965). (19C) Masket, A. V., “Time Reversal in Heat Conduction,” Am. J . Phys. 33 (3), 196 119651. (20C) Newhouse, K. N., “Temperature Distribution in Circular Fins of Rectangular Profile,” J . Heat Trunsfer 86, Series C (4), 563 (1964). (21 C) Nowacki, W., “Mixed Boundary-Value Problems in Heat Conduction,” Polsko Akad. Naulb, Inst. Padstawowych Probl. Tech. (Archiwum Mech. Sfosowanej) 16 (41, 865 (1964). (22C) Richardson P. D “Unsteady One-Dimensional Heat Conduction with a Nonlinear Bounhary C&dition,” . I Heat . Tranrfer 86, Series C (2), 298 (1964). (23C) Rosley J. C Payne, J. B., “Steady-State Temperature Solution for a HeatGeneratingkircu’iw Cylinder Cooled by a Ring of Holes,” Zbid. (4), p. 531. (24C) Shlykov, Y . P., Gainin, Y . A., “Thermal Resistance of Metallic Contacts,” Intern. J . Heal Mass Trunsfer 7 (8), 921 (1964). (25C) Shvets I T Dyban E. P “Contact Heat Transfer between Plane Metal Surfaces,” h&.’k‘hrm. E&. 4 (43, 621 (1964). (26C) S,parrow, E. M., Haji-Sheikh, A , , Lundgren, T. S., “The Inverse Problem in Transient Heat Conduction,” J . Appl. Mech. 31,Series E (3), 369 (1964). (27C) Thorsen, R., Landis, F., “Integral Methods in Transient Heat Conduction Problems with Non-Uniform Initial Conditions,” Intern. J . Heat Mass Transfer 8 ( l ) , 189 (1965). (28C) Tien C. L. “Strip Method for Steady Heat-Conduction Problems,” Appl. Sa. Res. bwt. A . ’13 (2-3), 209 (1964). (29C) Voskresenskiy, K. D., Turilina, Y . S., ‘‘Using Variational Methods to Calculate the Processes of Heat Conduction,” U S S R Heat Power Abstr. 11 ( l ) , 82 (1964). (30C) Zinsmeister, G. E., Dixon, J. R. “An Extension of Linear Moving Heat Source Solutions to a Transient Cas: in a Composite System,” Intern. J . Heat MQSCTransfer 8 (l), 1 (1965). j

Heat Transfer in Equipment (1B) Bayley F. J Lock G. S. H “Heat Transfer Characteristics of the Closed Thermosy’phon,;’ J . H&t Tmnsfer’k7, Series C (l), 30 (1965). (2B) Brauer H . “Stromungswoderstamd und Warmeubergang bei quer Angestromten fVarAeaustauschern mit Kreuzgitterformig Angeordneten Glatten und Berippten Rohren,” Chem. Zngr.,-Tech. 36 (3), 247 (1964). (3B) Broder D. L. Popkov K. K., “Methods of Calculating the Radiation Heat Release in’the Vehsel and dhields of a Nuclear Reactor,” J . Nucl. Energy: PI. A . E. 18 (a), 455 (1964). (4B) Chapman, F. S., Dallenbach H . Holland F. A. “Heat Transfer in Baffled Jacketed, Agitated Vessels,’’ T;ans.’Znst. Cheh. E&. (London) 42 (lo), T398 (1 ~964) . .,.-

(5B) Chapman, F. S., Holl:,nd, F. A,, “Heat-Transfer Correlations for Agitated Liquids in Process Vessels, Chem. Eng. 72 (Z), 153 (1965). (6B) -Zbid. (4), p. 175. (7B) Clerk, J., “Costs of Air us. Water Cooling,” Zbid. (l),p. 100. (8B) Conference Report, “Evaporative Coolers and Vortex Tube Cooling: Two Avenues t o Greater Industrial Comfort,” Air Conditioning, Heating, Ventilating 61 (12), 90 (1964). (9B) Cook, E. M., “Air-Cooled Heat Exchangers: Part I. Comparisons of Equi ment for Removing Heat from Process Streams,” Chem. Eng. 71 ( I l ) , 137 (19647: (10B) Cook, E. M., “Air-Cooled Heat Exchangers: Part 11. Operating Problems of Air-Cooled Units, and Air-Water Combinations,” Zbid. (14), p. 131. (11B) Coughanowr, D. R., Stensholt, E. O., Computer Method for Designing a Cooler-Condenser with Fog Form:;k$’?ND. ENC. CHEM.PROCESS 3 (4), 369 (1964). DESIGNDEVELOP. (12B) Crozier, R. D., Booth J. R. Stewart J E “Heat Transfer in Plate and Frame Exchangers,” Chem.’Eng. irogr. 60 (k),’43’[1964). (13B) Douglas, W. J. M., “Heat and Mass Transfer in a Turbulent Bed Contactor,” Zbid. (7), p. 66. (14B) Duchatelle, L., Vautrey, L., “Determination des Coefficients de Convection d’un Alliage Nak en Ecoulment Turbulent entre Plaques Planes Paralleles,” Intern. J . Heat Mass Transfer 7 (9), 1017 (1964). (15B) Fisher, J. W., “Optimization of a Heat Exchanger,” Brit. Chcm. Eng. 9 (7), 450 (1964). (1 6B) Golan, D., “Condenser Solves Heat-Transfer Problem in Crystallizer,” Chem. Eng. 7 2 (4), 196 (1965). (17B) Harriott, P., Wiegandt, H . “Countercurrent Heat Exchange with Vaporizing Immiscible Transfer Agent,” A:I.Ch.E. J . 10 (5), 755 (1964). (18B) Hayashi, S . , Sakurai, A. “Studies on Transient Heat Transfer in the Heterogeneous Water Reactor. P&t 11,” Tech. Repls. Eng. Res. Znst., Kyoto Uniu. 14 (3), 399 (1964). (19B) Hayashi S Sakurai A . “Transient Heat Transfer in the Heterogeneous Water Reac;or,’iII),” J . 2tom)ic Energy Soc., Japan 6 (7), 399 (1964). (20B) Huang, C-S., “Calculation of Steam Economy by Condensate Recovery in Multiple-Effect Evaporation,” Brit. Chem. Eng. 9 (lo), 690 (1964). (218) Hughmark, G. A,, “Designing Thermosiphon Reboilers,” Ckem. Eng. Progr. 60 (7), 59 (1964). (22B) Jackson, B. W., Troupe, R. A,, “Laminar Flow in a Plate Heat Exchanger,” Ibzd., p. 62. (23B) Jaw L. “Temperature Relations in Shell and Tube Exchangers Having One-Pass Spiit-Flow Shells,” J . Hent Tronsfer 86, Series C (3), 408 (1964). (24B),,Katz, D. L., Briggs, D. E., “A Bright Future for Computers in Heat Transfer, Ckem. Eng. Progr. 61 (l), 91 (1965). (25B) Kippenhan, C., Schnell, D. F., “A Note on Heat Transfer Through Sheet Fins,” J . Heat Transfer 86, Series C (Z), 293 (1964). (26B) Kirkley, D. W., Nomtchilofl, I Optimization Studies,” Brit. Chem. (27B) Michiyoshi, I., Matsumoto, R., “An Analytical Study of Heat Transfer in a Fluid Fuel Nuclear Reactor,” Tech. Repts. Eng. Res. Znst., Kyoto Uniu. 14 (2), (1964). (28B) Miida, J., Suda, N., “Dynamic Analysis of Natural Circulation Boiling Water Reactor,” Japan Atomic Energy Res. Inst. (1964). (29B) M’Pherson P. K . “Toward the 0ptimization.of a Nuclear Boiler,” Tranr Znst. Chzm. En&. (Lonhon) 42 (9), T352 (1964). (30B) Nahavandi, A. N., vnn Hollen, R. F., “A Space-Dependent Dynamic Analysis oiBoiling Water Reactor Systems,” Nucl. Sci. Eng. 20 (4), 392 (1964). (31B) Poll, A , , Smith, W., “Froth-Contact Heat Exchangers,” Chem. Eng. 71 (22), 111 (1964). (32B) Reitzer B. J. “Rate of Scale Formation in Tubular Heat Exchan ers Mathematical Analysis of Factors Influencing Rate Decline of Over-all &ea; Transfrr Coefficients,” IND.ENC. CHEY. PROCESS DESIONDEVELOP.3 (4), 345 (1964). (33B) Stainthorp, F. P. Axon, A. G., “The Dynamic Behaviour of a Multi ass Steam-Heated Exchadger-I. Response to Steam Temperature and Steam &ow Perturbations,” Chem. Eng. Sa. 20 (2), 107 (1965). (34B) Stermole, F. J., Larson,;?. A., “The Dynamics of Flow Forced Distributed Parameter Heat Exchangers, A.I.Ch.E. J . 10 (5), 688 (1964). (35B) Viskanta, R., “Influence of Internal Thermal Radiation on Heat Transfer in UOn Fuel Elements,” Nucl. Scr. Ene. 21 (l), 13 (1965). (36B) Welch, C. P., Fairchild, H . N.,“Individual Row Heat Transfer in a Crossflow in-Line Tube Bank,” J . Heot TrnnsferVoi. 86, Series C (2), p. 143 (1964). (37B) Winters, G., McDonald, D. P., “Heat Exchange Design Economics Plastics Lining, V. Bare Metal,” Chem. Process. 10 (5), 4 (1964). (38B) Wolf, J. “General Solution of the Equations of Parallel-Flow Multichannel Heat ExchaAgers,” Intern. J . Heat Mass Truns/er 7 (8), 901 (1 964). (39B) Yang, W-J., “Transient Heat Transfer in a Vapor-Heated Heat Exchanger with Arbitrary Timewise-Variant Flow Perturbation,” J . Heat Transfer 86, Series C ( 2 ) , 133 (1964). ~I

Conduction Heat Transfer (IC) Aerov, M . E., Nikitina, N. I., Razumov, I. M., “Determination of Temperature Fields in Reactors by the Electrothermal Analogy Method,” Intern. Chem. Eng. 4 (Z), 254 (1964). (2C) Allard, J., ”The Equation of a Square in Heat Transfer,” Intern. J . Heat Mass Transfer 7 (5), 527 (1964). (3C) Burggraf, 0. R., “An Exact Solution of the Inverse Problem in Heat Conduction Theory and Applications,” J . Heat Transfer 86, Series C (31, 373 (1964). (4C) Chan, K. S., Rushton, K. R., “The Simulation of Boundary Conditions in

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Convection Heat Transfer (1D) Adams D. E. Gebhart B. “Transient Forced Convection from a Flat Plate SubjLcted tb a Step h d g y Input,” J . Z;lrat Tronrfer 8 6 , Series C ( 2 ) , 253 (1964). (2D) Afgan, N., Zaric, Z . , “Heat Transfer in Gas Flow with a Pressure Gradient,” Nucl. Sa’.15 121. 87 11964). (3D) Allen, R . W., Eckert, E. R. G. “Friction and Heat-Transfer Measurements to Turbulent Pipe Flow of Water (Pr = 7 and 8) a t Uniform Wall Heat Flux,” J . Heot Transfer 86, Series C (3), 301 (1964). (4D) Astill, K. N., “Studies of the Developing Flow between Concentric Cylinders with the Inner Cylinder Rotating,” Zbid., 383 (1964). (5D) Back, L. H., Massier, P. F. Gier, H . L., “Convective Heat Transfer in a Covergent-Divergent Nozzle,” Intern. J . Heat Muss Transfer 7 (5), 549 (1964). (OD) Back, L. H Seban, R. A . “On Constant Property Turbulent Boundary Layers with Vaijable TemperatLre or Heat Flow at the Wall,” Ibid., 87, Series C (I), 151 (1965). (7D) Barrow, H., Lee, Y . ,“Heat Transfer with Unsymmetrical Thermal BoundaryConditions,” Zbid., p. 580. (8D) Belanger, J. Y., “Thermal Barriers for Rocket Motors,” Con. J . Chem. Eng. 4 2 (No. 6), 273 (1964). (9D) Benedict, R. P., “Some Comparisons Between Compressible and Incompressible Treatments of Compressible Fluids,” J . Bastc Eng. 8 6 , Series D (3), 527 (1964). (10D) Bentwich M. Sideman, S., “Temperature Distribution in Cocurrent TwoPhase (Liquid-Li(uid) Laminar Flow on Inclined Surfaces,” J . Heat Truns/er 86, Series C (4), 476 (1964). (1lD) Bergles, A,; E., “The Influence of Flow Vibrations on Forced-Convection Heat Transfer, Zbid., p. 559. (12D) Bhand, S. C., Patgaonkar G. V Gogate D. V. “Convective Heat Transfer in Weak Electrolytes under t i e Act& of E1e‘ctroly;ic Currents,” Intern. J . Heat Moss Transfer 8 (l), 111 (1965). (13D) Binckebanck J. ‘ I Messungen des turbulenten Austausches im Windschatten hinter beheizten KoIpern,” Zbid., p. 83. (14D) Blankenship, V. D., Clark, J. A. “Effects of Oscillation on Free Convection from a Vertical Finite Plate,” J . Heal) Transfer 86, Series C (Z), 149 (1964). (1 5D) Zbid., “Experimental Eflects of Transverse Oscillations on Free Convection of Vertical Finite Plate,” p. 159. (l(ID) Blankenship, V. D., Clark, J. A. “Laminar Free Convection from a Vertical infinite Plate Subject to Transverse Oscillation,” J . Appl. Mech. 31, Series E (3), 383 (1964). ~

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(17D) Brighton, J. A,, Jones, J. B.. “Fully Developed Turbulent Flow in Annuli,” J . Basic Eng. 86, Series D (4), 835 (1964). (18D) Buyuktur, A. R., Kestin, J., Maeder, P. F., “Influence of Combined Pressure Gradient and Turbulence on the Transfer of Heat from a Plare,” Intern. J . Heat Mass Tronrfer7 ( l l ) , 1175 (1964). (19D)Carnesale, A,, “Hydraulic Stability in Heated Channels,” Trans. Am. .VUG/. SOC.7, 508 (1964). (20D) Cess, S. D., “Unsteady Heat Transfer from a Rotating Disk to Fluids with Low Prandtl Kumbers,” Appl. Sci. Res.. Sert. A 13 (2-3), 233 (1964). (21D) Chiang, T., Ossin, A,, Tien, C. L., “Laminar Free Convection from a sphere,” J . Heat Transfer 86, Series C (4), 537 (1964). (D22) Colburn, A. P., “A Method of Correlating Forced Convection Heat-Transfer Data and a Comparison with Fluid Friction,” Intern. J . Heeat M a i s Tranrfer 7 ( I Z ) , 1369 (1964). (23D) Delpont J-P. “Influence du Flox de Chaleur et de la Nature du Gaz sur les Coefficientsd’Echkge dans un Tube Cylindrique Lisse,” Ibid., (5), p. 517. (24D) Dewey, C. F., Jr., “A Correlation of Convective Hear Transfer and Recovery Temperature Data for Cylinders in Compressible Flow.” Ibid., 8 ( Z ) , 245 (1965). (25D) Dorfman, L. A,, Serazetdinov, A . S., “1,aminar Flow and Hear Transfer near Rotating Axisymmetric Surface,” Ibzd., p. 317. (26D) Dropkin, D., Somerscales, E., “Heat Transfer by Natural Convection in Liquids Confined by Two Parallel Plates Which Are Inclined at Various Angles with Respect t o the Horizontal,” J . Heat Transfer 87, Series C (11, 77 (1965). (27D) Duffie, A. F., “Plain and Extended Surfare Copper Alloy Tubes.” Chem. Eng. Progr. 60 (71, 47 (1964). (28D) Edels, H., Fenlon, F. H., “Theory of a Filled-Tube Thermal Arc Column,” Brit. J . A$$/. Phys. 16 (21, 219 (1965). (29D) Emery, A,, Chu, N. C., “Heat Transfer across Vertical Layers,“ J . Heat TranJfer 87, Series C ( I ) , 110 (1965). (30Dj Erickson, L. E., Wang, C. S., Hwang, C. L., Fan, L-l.. “Heat Transfer to Magnetohydrodynamic Flow-in a Flat Duct,” %. iingew. M o l h . Piys. 15,408 (1964). (31D) Eshghy, S., “Discussion on Temperature Dictribution in Channel Flow with Friction,” Intern. J.Heot M o s s Transfer 7 ( l l ) , 1340 (1964). (32D) Eshghy S. “Forced-Flow Eflects on Free-Convection Flow and Heat Transfer,” J . Hen; T;nnsfer 86, Series C (21, 290 (1 964). (33D) Ferri A. “Review of Problems in Application of Supersonic Combustion,” J . Roy. A;ron.’Sci. 68 (645), 575 (1964). (34D) Fox, J., “Effectsof Buovancv on the Laminar Flow from an Isorhermal Cone Rotatingin a Quiet Fluid,” 2. Hint Transfer 8 6 , Series C (4), 560 (1964). (35D) Fox, J. “Hear Transfer and Air Flow in a Transverse Rectangular Notch,” Intern. J. Heht Mus Transfer 8 (Z), 259 (1965). (36D) Ibid. “Turbulent Temperature Fluctuations and Two-Dimensional Heat Transfer in a Uniform Shear Flow,” (31, p. 467. (37D) Frederking, T. H. K., Hopenfeld, J., ”Laminar Two-Phase Boundary Layers in Natural Convection Film Boiling of Subcooled Liquids,” Z. Angew. M a t h . Phjs. 15. D. 388 11964). . . (38D) Gebhart, B., “Natural Convection Cooling Transients,” Intern. J . Heat M a s s Transfer 7 (4), 479 (1964). (39D) Goldstein, R. J., “Temperature Distribution in a Horizontal Fluid Layer,’‘ Chem. En,rifikiaily Roughened Flow Passages,” Heue ? a h . 6,297 (1964). (59D) Klier, R., “Warmeubergang und Druckverlusr bei quer Angestromten, Gekreuzten Rohrgittern,” Intern. J . Heat M a s s Transfer 7 (7), 783 (1964). (60D) Koh, J. C. Y . , “Laminar Free Convection from a Horizontal Cylinder with Prescribed Surface Heat Flux,” Ibid., p. 811. (61D) Krdjewski, B., “A Variational Approach to the Three-Dimensional Theorv of Convective Heat Transfer,” Polrka Aknd. Nauk, Inst. Podstawowych Probl. Teck. (Archiwurn Mech. Stosowanej) 16 (3), 633 (1964). (62D) Kurzweg U. H “Convective Insrahility of a Hydromagnetic fluid within a Rectangular kavity,;’ Intern. .I. Heat M o s s Transfer 8 (l), 35 (1965). (63D) Launder, B. E., “An Improved Pohlhausen-Type Method of Calculating the I

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Two-Dimensional Laminar Boundary Layer in a Pressure Gradient,” J . Heat Transfer 86, Series C (3), 360 (1964). (64D) Lee, S. M., Gill, W. N., “Heat Transfer in Laminar and Turbulent Flows between Parallel Plates with Transverse Flow,” A.I.Ch.E. J.10 (6), 896 (1964). (65D) Lemlich, R., Ran, M. A,, “The Effect of Transverse Vibration on Free Convection from a Horizontal Cylinder.” Intern. J . Hent ~ M n s s 7 ’ m n s f e r 8 ( l ) , 27 (19651. (66D) Lemlich, R., Steinkanip, J. S., “Laminar Natural Convection I O an Isothermal Flat Plate with a Spatially Varying Acceleration,” A.1.Ch.E. J . 10 (4), 445 (1964). I with Uni(67D) Lemlich, R., Vardi J.. “Steadv Free Convection to a F I ~ Plate form Surface Heat Flux and Nonuniform Acceleration,” J . Heat Transfer 86, Series C (4), 562 (1964). (68D) Levy, S., “Prediction of Two-Phase Critical Flow Rate,” I6id. 8 7 , Series C ( l ) , 54 (1965). (69D) Lick, W., “The Instability of a Fluid Layer with Time-Dependent Heating,” J ,Fluid Mech. 21, Part 3, p. 565 (1965). (70D) Linderstrom-Lang, C. V., “Gas Separation in the Ranquc-Hilscti Vortex Tube,” Intern. J . Heat Mass Tronsfer 7 (111, 1195 (1964). (71D) Lock, G. S . H., “Steadv Laminar Free Convection from Inclined, Arhirrarily Shaped Plane Surfaces,” Ibid. (6), p. 669. (72D) Lumley, J. L., “Passage of a Turbulent Stream Throush Honcycomb of Large Length-to-Diameter Ratio,’’ .J. Basic Eng. 8 6 , Series D (2), 218 (1964). (73D) Lundgren, T. S., Sparrow, E. M., Starr, J. B., “Pressure Drop Due to the Entrance Region in Ducrs in Arbitrary Cross Section,’’ (3), p. 620. (7433) Luthera, B. R., “Temperature-Dependent Hear Sources and Sinks in a Sra nation-Point Flow under Transverse Magneiic Field,’’ J. Phjs. SOC.J a p a n 19 8 2 ) , 2330 (1964). (75D) Mabev D. G. “Boundarv Laver Transition Measuremenis Lsinq a Surface Hor Film DLwnsrrkam of Disthhufed Roughness at Mach Numbers from 1.3 to 4.0,” J,Ro). Aeron. SOC.69 (650), 96 (1965). (76D) Mahuchi, I., “Natural Convecrion of an Electricallv Conductinq Fluid from a Vertical Plate in the Presence of a Magnetic Field,” &/l. J.S.M.L?. 7 (26), 368 (1964). (D77) MacCarthy: I); A,? Picot, J. J. C., “Heat Transfer from a Moving Bclr in a Rectangular Duct, Can. J . Chem. Eng.42 (6), 277 (1964). (78D) McCormack. P. D., “A Driving Mechanism for High Frequenc, Combustion Instability in Liquid Fuel Rocket Engines,” J . Roy. Aeron. Soc. 6 8 (645). 632 (1964). (79D) McEligot, D . M., Magee, P. M., Leppert, G., “Effectof Largc Temperature Gradients on Convective h e a t Transfer: The Downstream Region,” J . Hmt 7 m n s f t ; 87, Series C (1). 67 (1965). (80D) McKillop. A . A,, “Heat Transfer for Laminar Flow of A-on-Ncwtonim Fluids in Entrance Region of a Tube.” Intern. J . Heat .Mass Transfer 7 (8), 853 (1964). (8lD) MacLaren, .I.F. T., “Heating High Viscositv Oils by Natural Convection with Small Plain and Finned Tubes,” Brit. Chern. Eng. 10 (3), 176 (1965). (82D) Madsen. Ti, “Comments on the Efiect of Axially Varying and Unsymmetrical Bound& Conditions on Heat Transfer with Turbulent Flow belween Parallel Plares,” Intern. J . Heat Mass Transfer 7 ( I O ) , 1143 (1964). (83D) >Salina. J. A,. Sparrow, E. M., “Variable-Property, Constant-Properly, and Entrance-Region Transfer Results for Turbulent Flow of Water and Oil in a Circular Tube,” Chem. E n g . Sa. 19 (12), 953 (1964). (84D) Martin, B. W . “Free Convection Limits in the Open Thermos)phon,” Intern. . I . Heat Mms’Tramfer 8 ( l ) , 19 (1965). (85D) Martin B. ‘A‘. Lockwood F. C. “Entry Eflerts in the Open Thermosyphon,” J.’Fluid M e c h . 19, Par; 2, 246 ’(1964). (86D) Maurer, G. W., LeTourneau. B. T.V., ”Friction Factors for Fully Developed Turbulent Flow in Ducts with and Without Heat Transfer,” J. Basic I Series D (3), 627 (1964). (87D) Metaid B.: Eckert E. R. G.. “Forced, Mixed and Free Convecrion reeimes.” J . &t Transfer’86. Series C ( 2 ., ! . 296 (1964). . . (88D) Michiyoshi. I. “Heat Transfer from an Inclined Thin Flat Plate by Natural Convection,” Ob//. >.S.M.E. 7 (28), 745 (1964). (89D) Michiyoshi, I.; Matsumoto, R., “Heat Transfer of Slurry Flow with Inlernal Heat Generation (3rd Reporr, Laminar Heat Transfer of Thermal Entrance Region in a Circular Tube for a Pseudo-Plastic Fluid),” Ibid. (26): p. 376. (90n) Moller, P. S., “Compressible Radial Flow Between Parallel Discs,” A r r o n . Quart. 15 (3), 219 (1964). (91D) IvIori. Y..Nakayama, JV, “Study on Forced Convective Heat Transfer in Trnnsfer 8 ( I ) , 67 (1965). Curved Pipes,” Intern. J . Heal (92D) Morris, W. D.. “Laminar Convection in a Heated Vertical Tube Rota:ing about a Parallel Axis,” J.Fluid. Mech. 21, Part 3, 453 (1965). (93D) Novotnv J. I.., Eckert, E. R. G., “Experimental Srudv of Laminar Convectic? in the Channel Betwecn Parallel Plates with Uniform Heat Sources in the Fluid,” Intern, J.Heat )Mass Tmns/er 7 (9), 955 (1964). (94U) Novotnv, J. L., McComas, S. T., Sparrow, E. M., Eckert, E. R. G.: ”€Ieat Transfer for’Turbulent Flow in Rectangular Ducts with Two Heated and Two Unheated Walls, A.I.Ch.E. .J. 10 (4), 466 (1964). (95D) ,Ostroumov, G. A,, “Free Convection in Closed Cavities: A Review of Work Carried out at Perm, USSR,” Intern. J . Heat M n i . Transfer 8 (2)>259 (1965). (96D) Palm, E. Oiann H . “Contribution to the 1’:-or? of Cellular Thermal Convection,” >. Fluid’Meci. 19, Part 3, 353 (1964). (97D) Parker, A. B., Poole, D. E.: “Cooling of High Current soark Channels in Hydrogen . - and Arxon,” Brtt. J . Appl. Phys. 15 (9), 1011 (1964). (98D) Pavlovskii, Y . N., ”The Kumerical Calculation of the Laminar Boundarv Layer in a Compressible Gas,” E.S.S.R. Coniputat~on~l A4atit. M a t h . P$s. (5), 1021 (1963). (99D) Pawlek R , A,, Tien, C.. “Laminar Heat Transfer to Son-A-ewtonian Fluids in the Entrance Region of Circular Conduit,” Can. J . Chem. Eng. 4 2 (5), 222 (1964). (100D) Pierce, F. J., “The Turbulent Flow a t the Plane of Symmetry of a Collateral Three-Dimensional Boundary Layer,” J . Basic Eng. 86, Series D (2), 227 (1964). (101D) Pierre, B.: “Flow Resistance with Boiling Refrigerants---Part I,” A S H R A E J . 6 ( 9 ) , 58 (1964). (102D). Pittaway, L. G., “The Temperature Distributions in Thin Foils and SemiInfinite Targets Bombarded b>- an Electron Beam,” Brit. J . Appl. Phys. 15 (8), 967 (1964). (103D) Pneuli D. “Lower Bounds to Thermal Instability Criteria of Completelv Confined Flhds’Inside Cylinders of Arbitrary Cross Section,” J . A@?(. M e c h . 31, Series E (3), 376 (1964). (104D) Poots, G., “Laminar Free Convection near the Lower Stagnation Point on an Isothermal Curvrd Surface,” Inlern. J . Heat M a s s Transfer 7 (E), 863 (1964). (lOjD) Rogers G. F. C., Mayhew, Y. R., “Heat Transfer and Pressure Loss in Helically Cohed Tubes wirh Turbulent Flow,” Ibrd. ( l l ) ,p. 1207. ~I

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(106D) Romanenko, P. N., Krylova, N. V., “A Study of :$ Effectsof Inlet Conditions on Heat Transfer in the Entry Region of a Tube, Intern. Chem. Eng. 4 (4), 587 (1964). (107D) Rothfus, R. R , , Kermode, R. I., Hackworth, J. H., “Pressure Drop in Rectaneular Ducts. Chem. Ene. ” 71 (25). . . . 175 (1964). . . (108D) Sastri, K. S., “The Effect of Suction on Heat Transfer with Temperature Dependent Heat Sources or Sinks in Stagnation Point Flow,” J . Phys. Sac. Japan 19 (8), 1385 (1964). (109D) Sastry, U. A,, “Solution of the Heat Transfer of Laminar Forced-Convection in Non-Circular Pipes,” Appl. Sci. Res. Sect. A 13 (4-5), 269 (1964). (110D) Savino, J. M., Siegel, R . , “Laminar Forced Convection in Rectangular Channels with Unequal Heat Addition on Adjacent Sides,” Intern. J . Heat Mnsr Transfer 7 (7), 733 (1964). (1 1 ID) Schenk, J., “Similaritv Conditions for Heat Transfer in Incompressible Two-Dimensional Laminar Boundar! Layer Flow,” Appl. Sci. Res. Sect. A 13 (4-5), 339 (1964). (112D) Scherber, M . G., “Natural Convection from Wall Sections of Arbitrary Temperature Distributions by an Integral Mind,” Intern. J . Heat M a s s Transfer 7 (5), 501 (1964). (1131~)Schetz, J. A,, Jannone, J., “Initidl Boundary Layer Effects on Laminar Flows with WallSlot Injection,” J . Hem Transfer87, Series C ( l ) , 157 (1965). (D114) Schnurr, N. M., “Heat Transfer from a Rotatin Disk with a Stepwise Discontinuous Surface Temperature,” Ibnd., 86, Series C 73), 567 (1964). (115D) Schuh, H., Persson, B., “Heat Transfer on Circular Cylinders Exposed to Free-Jet Flow,” Intern. J . Heat M o s s 7’ranrfer7 ( l l ) , 1257 (1964). (1 16D) Schultz, G. “Untersuchung des Stoffaustausch-Anlaufgebietes in einem Rohr bei Vo1lau;gebildeter H drodynamischer Stromung mit einter Elektrochemischen Methode,” Ibid. (IJ),p. 1077. (117D) Seban, R . A,, “Heat Transfer to the Turbulent Separated Flow of Air Downstream for a Step in the Surface of a Plate,” J . Heal Transfer 86, Series C (2), 259 (1964). (118D) Scgel, L. A,, “The Non-Linear Interaction of a Finite Number of Disturbances to a Layer of Fluid Heated from Below,” J. R u i d Mech. 21, Pt. 2, 359 (1965).

(119D) Sheriff, N., Gumley, P., France, J., “Heat Transfer Characteristics of Roughened Surfaces,” Chem. Process Eng. 45 ( l l ) , 624 (1964). (120D) Snyder, W. T., “The Influence of Wall Conductance on Magnetohydrodynamic Channel-Flow Heat Transfer,” J.’Heat Transfer 86, Series C (4), 552 (1964). (121D) Sogin, H . H., “A Summary of Experimentson Local Heat Transfer from the Rear of Bluff Obstacles to a Low Speed Airstream,” Ibid. (2), p. 200. (122D) Spalding, D. B., “Contribution t o the Theorv of Heat Transfer Across a Turbulent Boundary Layer,” Intern. J . Heof Mass Transfer 7 ( 7 ) , 743 (1964). (12313) Sparrow E. M Chen T. S. Jonsson, V. K., “Laminar Flow and Pressure Drop in Interially F;Aned AhnulaIDucts,” Ibid. ( 5 ) , p. 583. (124D) Sparrow, E.M., Goldstein R . J. Jonsson, V. K., “Thermal Instabillt in a Horizontal Fluid Layer: Effec; of Bdundary Conditions and Nan-Linear %emperature Profile,” f. Fluid Mech. 18, Part 4, 513 (1964). (125D) Sparrow,,,E. M., Lin, S. H., “Heat-Transfer Characteristics of Polygonal and Plate Fins, Intern. J . Heat M a s s Transfer 7 ( S ) , 951 (1964). (126D) Sparrow, E. M., Lin, S. H., “The Developing Laminar Flow and Pressure Drop in the Entrance Region of Annular Ducts,” J . Basic Eng. 86, Series D (4), 827 (1964). (127D) Sparrow E M . Minkowyca, W. J., Eckert, E. R. G., Ibele W. E., “The Effect of Diffdsio; Tbermo and Thermal Diffusion for Helium ’Injection into Plane and Axisymmetric Stagnation Flow of Air,” J , Heat Transfer 86, Series C 13). . ., 311 (1964). . (128D) Srivastava, A. C., Sharma, S. K., “Heat Transfer Due t o the Flow Between Two Infinite Plates (One Rotating and the Other at Rest) under a Transverse Magnetic Field,” J. P h y . Sac. Japan 19 ( 8 ) , 1390 (1964). (129D) Stollery. J. L., El-Ehwany, A. A. M., “No,t,e on the Use of a BoundaryLayer Model for Correlating Film-Cooling Data, Intern. J . Heat M o s s Transfer 8 ( l ) , 55 (1965). X (130D) Stuart, J. T., “ O n the Cellular Patterns in Thermal Convection,” J . Fluid Mech. 18. Part 4, 481 (1964). (131D) Sutera, S. P., “Vorticity Am lification in Stagnation-Point Flow and Its Effect on Heat Transfer,” Ibrd., 21, part 3, 513 (1965). (132D) Sutherland, W. A., Kays, W. M., “Heat Transfer in a n Annulus with Variable Circumferential Heat Flux,” Intern. J. Heat Mass Transfer 7 ( l l ) , 1187 (1964). (133D) Szaniawski, A,, “Equations of Plane, Symmetric Transonic Viscous and Heat Conducting Flow ” Poiika Akad. Nauk, Podstawawych Probi. Tech. (Archiwum Mech. Sloswonq) 16 (5),’1119 (1964). (134D) Szewczyk, A. A,, “Combined Forced and Free-Convection Laminar Flow,” J . Heat Transfer 86, Series C (4), 501 (1964). (135D) Tachibana, F., Fukui, S., “Convective Heat Transfer of the Rotational and Axial Flow Between Two Concentric Cylinders,” Bull. J.S.M.E. 7, (26), 385 (1964). (136D) Tien, C., Pawelek, R. A,, “Laminar Flow Heat Transfer in the Entrance Region of Circular Tubes,” & O l . Sci. Res. Sect A 13 (4-5), 317 (1964). (137D) Tien, C. L., “Heat Transfer by the Induced Flow about a Rotating Cone of Non-Uniform Surface Temperature,” Intern. J . Heat M a s s Transfer 8 (3), 411 (1965). (138D) Topham, D. R., “A qorrelation of Leading Edge Transition and Heat sac.69 (649), 49 ?’ransfer on Swept Cylinders Supersonic Flow,,, J , Roy,

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(143D) V o n ~ i s s M,, , C C H ~~~~~f~~ ~ ~ and ~ pressure D~~~ M~~~~~~~~~~~ on ~ ~ tudinal Fins,” A‘eur Tech. 6 , 310 (1964). of Flow Between Arbi(144D) Walowit, J,, Tsao, s,, DiPrima, R, c., trarily Spaced Concentric Cylindrical Surfaces Incluaing the Effect of a Radial Temperature Gradient,” J . Appl. M e c h . 31, Series E (4), 585 (1964).

(145D) Wilson, R. A. M., Danckwerts, P. V., “Studies in Turbulent Mixing. 11. AHot-Air Jet,”Chem. Eng. Sci. 19, ( l l ) , 885 (1964). (146D) Yen, J. T., Chang, C-C., “Magnetohydrodynamic Couette Flow as Affected by Wall Electrical Conductances,” Z. Angew. M a t h . Phys. 15 400 (1964).

(147D) Young, F. J., Huang, H., “Effectsof External Circuit and IVall Conditions on Magnetohydrodynamic Free Convection Between Two Heated Walls,” Ibid., p. 419. (148D) Ziegenhagen, A. J., “Approximate Eigenvalues for Heat Transfer t o Laminar or Turbulent Flow in an Annulus,” Intern. J . Heat M a s s Transfer 8 (3), 499 (1965).

Radiation Heat Transfer (1E) Bernard, J. J., Genot, J., “Bilan Thermique d’une Ailette de Radiateur Soumise a un Faible Echauffement Cinetique,” Intern. J . Heat M a s s Transfer 8 (3), 449 (1965). (2E) Birkebak, R. C., Eckert, E. R. G., “Effects of Roughness of Metal Surfaces on Angular Distribution of Monochromatic Relected Radiation,” J. Heat lranrfer 87 Series C ( l ) , 85 (1965). (3E) Birkebak, R. C., Sparrow, E. M., Eckert, E. R. G., Ramsey, J. W “Effect of Surface Roughness on Total Hemispherical and Specular Refled;ance of Metallic Surfaces,” Ibzd., 86, Series C (2), 193 (1964). (4E) Brinkworth, B. J., “A DiffusionModel ofTransport of Radiation from a Point Source in Lower Atmosphete,” Brit. J. Appl. Phys. 15 (6), 733 (1964). (5E) Cess, R. D.; :‘Adiabatic-Wall Temperature for Flow of a Radiation-Absorbing Gas,” J . Heat I ronsfer 86, Series C (2), 288 (1964). (6E) Ibid., “Radiation Effects upon Boundary-Layer Flow of an Absorbing Gas,” (4), p. 469. (7E) Chin, J. H., “Radiation from Isotropic Volume Source with Interposing Aperture,” Ibid., (2), p. 289. (8E) Deissler, R . G., “Diffusion Approximation for Thermal Radiation in Gases with Jump Boundary Condition,” Ibid., p. 240. (9E) Gagge, A. P., Rapp, G. M., Hardy, J. D., “Mean Radiant and Operative Temperature for High-Temperature Sources of Radiant Heat,” A S H R A E J . 6 (lo), 67 (1964). (10E) Greif, R., “Energy Transfer by Radiation and Conduction with Variable Gas Properties,” Intern. J . Heat M a s s Transjer 7 (8), 891 (1964). (11E) Howell, J. R., Perlmutter, M., “Monte Carlo Solution of Radiant Heat Transfer in a Nongrey Nonisothermal Gas with Temperature Dependent Properties.’’ A1I.Ch.E. J . 10 (4), 562 (1964). (12E) Keshock, E. G., Siegel, R., “Combined Radiation and Convection in a n Asymmetrically Heated Parallel Plate Flow Channel,” J . Heat Transfer 86, Series C (3), 341 (1964). (13E) Koh, J. C. Y., “Radiation of Spherically-Shapod Gases,” I n t e r n . J. Heat M a s s Transfer 8 (2), 373 (1965). (14E) Lee, R. H. C., Happel, J., “Thermal Radiation of Methane Gas,” INO. END.CHEM.FUNDAMENTALS 3, 167 (1964). (15E) Lick, W., “Transient Energy Transfer by Radiation and ‘Conduction,” Intern.J.HeatMass Transfer8 ( l ) , 119 (1965). (I6E) Murgai, M . P., Varma, R. K., “Radiative Transfer Effects in Natural Convection above Fires-Opaque Approximations,” Quart. Appl. Math. 22 (4), 345 (1965). (E17) Okamoto, Y., “Temperature Distribution and Efficiencv of Radiative and Convective Fin Accompanied by Internal Heat Source,” Trans, Japan Sac. Mecic. Eners. 30. 267 (1964). (18E) Okamoto, Y . , “Temperature Distribution and Efficiency of a Single Sheet of Radiative and Convective Fin Accompanied by Internal Heat Source,” Bull. J.S.M.E. 7 (281, 751 (1964). (19E) Perlmutter, M., Howell, J. R. “Radiant Transfer through a Gray Gas between Concentric Cylinders Using’Monte Carlo,” J . Heat lransfer 86, Series C (2), 169 (1964). (20E) Petela, R., “Energy of Heat Radiation,” Ibid., p. 187. (21E) Sparrow, E. M., Haji-Sheikh, A., “A Generalized Variational Method for Calculating Radiant Interchange between Surfaces,” Ibid., 87, Series C ( l ) , 103 (1965). (22E) Sparrow, E. M., Jonsson, V. K., “Effect of Asymmetric Thermal Boundary Conditions on Radiating-Fin Heat Transfer,” Ibid., 86, Series C (2), 299 (1964). (23E) Sparrow, E. M., Lin, S . H., “Boundary Layers with Prescribed Heat FluxApplication to Simultaneous Convection and Radiation,” Intern. J . Heat Mass Transfer 8 (3). 437 (1965). (24E) Thomas, M., Penner, S. S., “Thermal Conduction and Radiant Energy Transfer in Stationary, Heated Air,” Ibid.> 7 (lo), 1117 (1964). (25E) Tien, C. L., Greif, R., “ O n Transition from Black-Body t o Rosseland Formulations in Optically Thick Flows,” Ibid., p. 1145. (26E) Viskanta, R., “Concerning Definitions of Mean Absorption Coeflicient,” Ibid., ( 9 ) , p. 1047. (27E) Viskanta, R., “Heat Transfer by Conduction and Radiation in Absorbing and Scattering Materials,” J . Heot Transfer 87, Series C (l), 143 (1965). (28E) Viskanta, R., “Heat Transfer in a Radiating Fluid with Slug Flow in a Parallel-Plate Channel,” Appl. Scz. Res. Sect. A . 13 (4-5), 291 (1964). (29E) Zerkle, R . D., Sunderland, J. E., “Transient Temperature Distribution in Slab Subject to Thermal Radiation,” J . Heal Transfer 87, Series C (l), 117 (1965). ~ ~ iHeat l Transfer i ~ ~ (1F) Angelino, H., Charzat, C., Williams, R., “Evolution de Bulles de Gaz dans des Liquides et des Systems Fluidises,” Chem. Eng. Sci. XIX (4), 289 (1964). (2F) Baker, J. L. L., Chao, B. T., “An Experimental Investigation of Air Bubble Motion in a Turbulent Water Stream,” A.I.Ch.E. J . 11 (2), 268 (1965). (3F) Bankoff, S. $, “Bubble Radius Distribution Functions from Resistivity Probe Measurements, Ibrd., 10 (5), 776 (1964). (4F) Becker, K. M., Hernborg, G., “Measurements of Burnout Conditions for Flow ofBoiling Water in a Vertical Annulus,” J . Henl Transfer 86 (3), 393 (1964). (5F) Becker, K. M., Mathisen, R. P., Eklind, O., Normann, B. “Measurements of Hydrodynamic Instabilities Flow Oscillations, and Burnou; in a Natural Circulation Loop,” Nukieonzk 6 , 224 (1964). (6F) ,Becker, K . M., Persson, P., “An Analysis of Burnout Conditions for Flow of Boiling Water in Vertical Round Ducts,” J . Heat Transfer 86, Series C (4), 515 (1964). (7F) Bentwich, M., “Two-Phase Viscous Axial Flow in a Pipe,” .I. Basic Eng. 86 Series D (4), 669 (1964). E., Rohsenow, W. M., “Determination of Forced-Convection ~ (8F) ~Bergles, i A.- Heat Surface-Boiling Transfer,” J . Heal Transfer 86, Series C (3), 365 (1964). (9F) Bernath, L., C o b P. D., Sadowski, T. J. ‘‘Forced Convection Burnout for Water in Rod Bundles a t High Pressures,” Iitern. J . Heat M a s s Transfer 7 (12), 1385 (1964). (10F) Bertoletti, S., Gaspari, G. P., Lombardi, C., Peterlongo, G., Tacconi, F. A. “A Generalized Correction for Predicting Heat Transfer Crisis with Steam-Wate; Mixtures,” Energia Nucl. 11 (lo), 571 (1964). (1 1F) Bertoletti, S., Lombardi, C., Peterlongo, G. “Qualitative Remarks on Nature of Heat Transfer Crisis with Steam-Water MixtLres,” Ibid., (3,269 (1964).

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(12F) Bhat, G. h-., \$-eingaertner, E., “Incipient Bubbling in Fluid Beds. Par: 3,” Brit. Chem. Eng, 9 ( 5 ) , 316 (1964). (13F) Cermak, J. 0.. Jichn, J. J., Lightner. R . G. “Two-Phase Pressure Drop across Vertical1)- Mounted Thick Plate Restrictions,’” J. Heat Transfer 86, Series C (2), 227 (1964). (14F) Collier, J. G., Lace% P. M. C., Pullinq D. J. ’.Heat Transfer to Two-Phase Gas-Liquid Systems. Pkrr 11. Further‘bata 6n Steam4Vater Mixtures in Liquid-Dispersed Region in an Annulus,” Trans. Inst. Chem. Engrs. (London) 42 (4), T127 (1964). (l5F) Davis, E. J., David, M . M.. “Two-Phase Gas-Liquid Convection Heat 3 (2), 110 (1964:. Transfer. A Correlation,” IND. ENO. CHLM.FUNDAMENTALS (16F) DiCicco, D. A.. Schoenhals, R. J., “Heat Transfer in Film Boiling with Pulsating Pressures,” J . Heat Transfer 86,Series C (3), 457 (1964). (17F) Duke, E. E., “Burnout and Heat-Transfer Correlations for One-Through Supcrheat at Low Flow with an Exponential Source,” b u c l . Sa. Eng. 21 (4), 490 (1965). (18F) Eissenberg, D. M., “Boiling Burnout Heat Flux Measurements in a KonNcwtonian Suspension,” A.f.Ch.E. J . 10 (j),684 (1964). (19F) Fauske, H. K., “Some Ideas about Mechanism Causing Two-Phase Critical Flow,” Appi. Sct. Res. Sect. A. 13 (2-3), 149 (1964). (20F) Fedorov, B. I., “An Experimental Investigation of Water Evaporation in a Non-isothermal Turbulent Boundary Layer,” Intern. Chem. Eng. 4 (3), 408 ( I 964). (21F) Frederking, T. H . K., “Thermal Exchange Diffusivity in Nucleate Boiling,” Appi. Sci. Res. Sect. A. 13 (4-51, 371 (1964). (22F) Gaertner. R. F. “Photographic Studv of Nucleate Pool Boiling on a Horizontal Surface,” J . ked Transfer 87, Series% (11, 17, (1965). (23F) Gambill, W., “An Experimental Investigation of Inherent Uncertainty in Pool Boiling Critical Heat Fluxes to Saturated \Yater,” A.f.Ch.E. J . 10 (4), 502 (1964). (24F) Gill, L. E., Hewitt. G. F., Lacey, P. M.C., “Sampling Probe Studies of Gas Core In Annular Two-Phase Flow-11. Studies of Effect of Phase Flow Rates on Phase and Velocity Distribution,” Chem. Ens. Sci. 19 (9), 665 (I 964). (25F) Glas, J. P., Westwater, J. W., “Measurements of Growth of Electrolytic Bubbles,” Intern. J. Heat MQSSTmnsj’er 7 (12), 1427 (1964). (26F). Govier, G. W., “Developments in Understanding Vertical Flow of Two Fluid Phases,” Can. J . Chem. Eng. 43 ( l ) , 3 (1965). (27F) Griffith, P., “Prediction of Low-Quality Boiling Voids,” J. Heat Transfer 86, Series C (3), 327,(1964). (28F) Hayashi, S., Iwazumi, T., “Experimental Study on Temperature Overshoot and Delay Time of Transient Boiling,” Tech. Repts. En!. Res. Inst., Kyoto Umv. 13 ( l ) , 1 (1963). (29F) Hickman, K. C. D., “Floating Drops and Liquid Boules,” Iso. ENO.CHEM. 56 (61, 18 (1964). (30F) Jacowitz, L. A,, Brodkey. R. S., “An Analysis of Geometry and Pressure Drop for Horizontal, Annular, Two-Phase Flow of Water and Air in Entrance Region of a Pipe,” Chem. Ens. Sa. XIX (4), 261 (1964). (31F) Johnston, R. C., Jr., Chaddock, J. B., “Heat Transfer and Pressure Drop of Refrigerants Evaporating in Horizontal Tubes,” A S H R A E J. 6 ( S ) , 91 (1964). (32F) Kazin, I . V., “Radial Distribution of Steam in an Ascending Turbulent Steam-Water Flow,” U S S R Heal Power Abstr. 11 ( l ) , 40 (1964). (33F) Lapin, A,, Wenzel, L. A., Totten, H. C., “Study of Nitrogen and Keon Pool Boiling on a Short Vertical Pipe.” A.I.Ch.E. J. 11 (2), 197 (1965). (34F) Lienhard, J. H., “Some Generalizations of Stability of Liquid-Gas-Vapor Systems,” Infun. J.Heat M o s s Tronsfer 7 (7), 813 (1964). (35F) Lienhard, J. H., Wong, P. T. Y . , “Dominant Unstable Wavelength and Minimum Heat Flux during Film Boiling on a Horizontal Cylinder,” J. Heat Transfer 86 Series C (2), 220 (1964). (36F) Lyon, D. N., “Peak Nucleate-Boiling Fluxes and Nucleate-Boiling HeatTransfer Coefficientsfor Liquid N2, Liquid 0 and Their Mixtures in Pool Boiling a t Atmospheric Pressure,” Intern. J . Heal Mass Transfer 7 ( l o ) , 1097 (1964). (37F) Madejski, J., “Theory ofNucleate Pool Boiling,’’Ibid., 8 (l), 155 (1965). (38F) Merte H., Jr., Clark, J. A,, “Boiling Heat Transfer with Cryogenic Fluids at Standarb, Fractional, and Near-Zero Gravity,” J. Heat Transfer 86, Series C ( 3 ) , 351 (1964). (39F) Michiyoshi, I., Uematsu, K., “An Analytical Study of Heat Transfer in Nucleate Boiling,” Mem. FOG.Eng. Kyoto Uniu. Part 1, 26, 16 (1964). (40F) Mikol, E. P., Dudley, J. C . , “Visual and Photographic Study of Ince tion of Vaporization in Adiabatic Flow,” J. Basic Eng. 86, Series D (2), 257 (19647. (41F) Moody, F. J., “Maximum Flow Rate of a Single Component, Two-Phase Mixture,” J. Heat Transfer 87, Series C (l), 134 (1965). (42F) Murgatroyd, W., “Role of Shear and Form Forces in Stability of a Dry Patch in Two-Phase Film Flow,” Inlern. J. Heat Mass Transfer 8 (21, 297 (1965). (43F) Nichikawa K Kusuda H “Heat Transfer in Surface Boiling under Free Convection,” &dl.’>.S.M.E,’7 (;6), 406 (1964). (44F) Nishikawa, K., Shimoura, R., “Boiling Heat Transfer a t Coexistence of Nucleate and Film Regions,” Ibtd., p. 399. (45F) Novakouic, M., Stefanovic, M., “Boiling from a Mercury Surface,” Inlern. J . Heoi Mass Transfer7 (7), 801 (1964). (46F) Oliver D. R . ‘Wright, S . J., “Pressure Drop and Heat Transfer in GasLiquid Slub Flow 6 Horizontal Tubes,” Brit.Ckem. Eng. 9 ( 9 ) , 590 (1964). (47F) Ostrach, S.! Koestel, A., “Film Instabilities in Two-Phase Flows,” A.f.Ch.E. J. 11 (2), 294 (1965). (48F) Pai, V. K., Bankofl, S. G., “Film Boiling of Nitrogen with Suction on a n Electrically Heated Horizontal Porous Plate: Effect of Flow Control Element Porosity and Thickness,” Ibid., ( l ) , p. 65. (49F) Pierre, B., “Flow Resistance with Boiling Refrigerants-Part 11,” A S H R A E J. 6 ( l o ) , 73 (1964). (50F) Pomerantz, M. L., “Film Boiling on a Horizontal Tube in Increased Gravity Fields,” J . Heor Tronsj’er 86, Series C (Z), 213 (1964). (51F) Quandt, R., “Measurement of Some Basic Parameters in Two-Phase AnnularFlow, A.I.Ch.E. J . 11 (2), 311 (1965). (52F) Rallis C. J, Jawurek, H . H., “Latent Heat Transport in Saturated Kucleate Heat Mass Transfer 7 ( l o ) , 1051 (1964). Boiling,” intern (53F) Rogers T. F Mesler R. B. “An Experimental Study of Surface Cooling by Bubbles du;ing N&leate Boi1ing)ofWater,” A.I.Ch.E. J . 10 ( 5 ) , 656 (1964). (54F) Roll, J . By, Myers, J. E., “Eflect of Surface Tension on Factors in Boiling Heat Transfer, Ibid., (4), p. 530. (55F) Sato, T., Matsumura, H., “ O n Conditions of Incipient Subcooled-Boiling with Forced Convection,” Bull. J.S.M.E. 7 (261, 392 (1964). (56F) Schlicht, H . H., “Zweiphasenstromungen in Rohrleitungen,” Chem. Ingr.Tech. 37 ( 3 ) ,245 (1965). (57F) Siege], R., Keshock, E. G., “Effects of Reduced Gravitv on Nucleate Boiling BubbleDynamics in Saturated Water,” A.1.Ck.E. J . 10 (4), ‘509 (1964).

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(58F) Slatterv. J. C.. “Two-Phase, Annular, Laminar Flow of Simple Fluids through Cvlindrical’Tubes,” Ibid.. . ( 6 ) . .D. 817. (59F) Starkman. E. S., Shrock, V. E., Neusen, K. F.. ManePli-, D. J., “Expansion of R Verv Low Qualit\ Two-Phase Fluid through r~ Con-,ergent-Divcrgent Kozzle,” J . Basic Eng. 86, Series D ( 2 ) . 2 4 7 (1964;. (6OF) Stenning, A . H., “Instabilities in F l o w of a Boiling Liquid,” Ibid., p. 213. (61F) Sullivan, S. L.. Jr, Hardv R . \V.. Holland C. D. “Formation ofAir Bubbles d t Orifices Submerged’beneat‘L Liquids,” .1.I.&.E. J.’10 : 6 ) , 848 (1964). (62F) Suo. M.. Griffith, P., “Two-Phase F!ow in Capillary Tubes,” J. Basic Enq. 86 ( 3 ) , 576 (1964). (63F) Thorn, J. R. S.. “Prediction of Pressure Drop during Forced Circulation Boiling of iyater,” Intern. J . Heat Mass Trans/rr 7 ( 7 ) , 701 11964). (64F) Tong, L. S., Currin, H. B., “Interpreting DNB Data in Reacior Design,” “v‘ucieonzcs22 i l l ) . 48 11964). (65F) Warner, C. F., Cmrnons, D. L., “Efiects of Selected Gas Stream Parameters and Coolant Properties on Liquid Film Cooling,” J . Heat Transjer 86 (Z), 271 (1964). (66F) Wayner, P. C.. Jr., Bankoff, S. G.. ”Film Boiling of Nitrogen with Suction on an Electrically Heated Porous Plate,” A.I.Ch.E. J. 11 (1). 59 (1965). (67F) Wei, C-C., Preckshor, G . W., “Photographic Evidence of Rubble Departure from Capillariesduring Boiling,” Chern. Eng. Sn. 19 ( l o ) , 838 (1964). (68F) Wilson, R. H., Ferrell, J. K.. “Correlation of Critical Heat Flux for Boilinx p. Water in Forced Circulation at Elevated Pressures,” C h m . Etrg. P,o,~,. ~ ; : ~ sE,, 60 ( 4 7 ) , 118 (1964). (69F) Yang, W-J., Clark, J. A,. .‘On Application of Sourcc Theory to Solution of Problems Involving Phase Change. Part I--Growth and Collapse of Bubbles,” J . Heat Transfer 86, Series C ( 2 ) , 207 (1964). (70F) Ibid. (3), p. 443. f71F) Young R. K. Hummel R. L. “Improved Nucleate Boiling Heat Transfer:" Chem. E q . )Progr. 60 (71, 5 3 i1964): (72F) Zahn, W.R.. “A Visual Study of Two-Phase Flow Whlle EiaporntinF in HorizontalTubes,” J . Heat 7mnrfer 8 6 , Series C ( 3 ) , 417 (1964). (73F) Zavoiskii, V. K., “Size Distribution of Vapor Bubbles in Boiling Liquids.“ Soviet J . At. Energy 16 ( l ) , 68 (1964). (74F) Zivi, S. M., “Estimation of Steady-State Steam Void-Fraction bv Principlc of Minimum Entropy Production,” J. Heal Transfer 8 6 (21, 247 (1 964): (75F) Zuber, N., “On Dispersed Two-Phase Flow in Laminar Flow Regime,” Chem. Ens. Sci. 19 (111, 897 (1964). I ,

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Condensation (1G) Brdlik, P. M.,Kakabaev, A., “Experimental Investigation of Condensation of Steam in Coils,” Infern. Chem. En#. 4 (2), 236 (1964). (2G),Depew. C. A., Reisbig, R. L. “Vapor Condensation on a Horizontal Tube Using Teflon t o Promote Dropdise Condensation,” INO. ENG. CHI-M. PROL.~:~~ DESION DEVELOP. 3 (4), 365 (1964). (3G) Frankel, N. A. Bankoff, S. G. “Laminar Film Condensation on ii Porous Horizontal Tube &th Uniform Suction Velocity,” J . Heat 7’ranr/er 87, S?rien C ( I ) , 95 (1965). (4G) Garrett, T. W., Wighton J. L. “Eflect of Inclination on Heat-Tran5fer Coefficients for Film Condensation o i Steam on an Inclined Cylinder,” Intern. J . Heat Mass Transfer 7 ( l l ) , 1235 (1964). ( 5 G ) Hasson, D., Luss, D., Kavon, U., “Experimental Study of Steam Condensation on a Laminar Watrr Sheet,” Ibid., (9),983. (6G) Hasson, D., Luss, D., Peck, R., “Theoretical Analyses of Vapour Condensation on Laminar Liquid Jets,” Ibid., p. 969. (7G) Heiskala, V. H., “Irreversible Vapor Condensation,” h‘ucl. Sa. Eng. 19 (4), 418 (1964). (8G) Jain, K . D., Bankoff,S. G.. “Laminar Film Condensation on a Porour Vertical Wall with Uniform Suction Velocity,” J . Heat Tmnrfer 86, Series C (4), 481 (1964). (9G) Kast, W., “Redeutung der Keimbildung under der Instationaren N‘armeubcrtragung fur den M’armeubergang Bei Blasenverdampiung und Tropfenkodensation,” Chem Ingr.-Tech. 36 (9), 933 (1964). (lOG) Kochurovd, N. N., “Problem of Condensation Coefficients,” Intern. Che,n. Eng. 4 (4), 603 (1964). ( l l G ) Lee, J., “Turbulent Film Condensation,” A.I.Ch.E. J . 10 (4), 540 (1964). (12G) Nicol, A. A,, “Effect of Vapor Velocity on Condensation of Steam.“ Con. J . Chrm. Eng. 42 (6), 278 (1964). (13G) Richenstein, E., Metiu, H.. “OLIDropwise Condensation on a Solid Surf;ice,” Chem. Eng. Sci. 20 ( 3 ) : 173 (1965). (14G) Schrodt, J. T., Gerhard, E. R., “Cundensation of bVater Vapor from a Noncondensing Gas on Vertical Tubes in a Bank,” IND. ENG. CHEM,FUNDAMENTALS 4 (1). 46 (1965). (15G) Sparrow, E. M..,Fin, S. H., “Condensation Heai Transfer in Presence of a Noncondensable Gas, J . Heat Transfer 86, Series C, (31, 4I’l (1964). (16G) Tanner, D. W., Pope, D., Potter, C. J., West, D.. “Heat Transfer in Dropwise Condensation-Part 11. Surface Chemistry.“ Intern. J . Hen& Masr 7‘mnsfer 8 ( 3 ) , 427 (1965). (17G) Tanner, D. \‘I Potter, ., C. J., Pope, D., West. D., “ H e a t Transfer io Dropwise Condensation-Part I . Effects of Heat Flux. Steam Velocity and Soncondensable Gas Concentration,” Ibid., p. 419. Liquid Metal Heat Transfer (1H) Aoki, S., “.4 Consideration on Heat Transfer in Liquid Metal,” Biiil. T u k j o Inst. of Technol. 54, 63 (1963). (2H) Borishanskii, V. M., Firsova, E. V., “Heat Exchange in Longitudinal Flow of Metallic Sodium Past a Tube Bank,” Soviet J.At. Energ3 14 ( 6 ) , 6i4 (1 964). (3H) Dropkin: D., Gelb, G.. “Heat Transfer by Natural Convection of Mercurv in Enclosed Spaces when Heated from Below and Rotated,” J. Hrat Tronsf& 86, Series C (21, 203 (1964). (4H) Dyyer, 0. E., “Bilateral Heat Transfer in Annuli for Slug and Laminar Flows, Nuci. Sci. Eng. 19 ( l ) , 48 (1964). (5H) Ibi O (5),’617 (1964). (14H) Weatherford I’d, D.. J r . “Review of High-Temperature Liquid-Metal Technology,” Chak. Eng. Progr. k p p . Ser. 60 (48), 83 (1964). (15H) Young, P. F., Deutsch, D. E , , “Design and Operation of 1,800O F. Pumped Boiling Rubidium Loop System,” Ibtd., (47), 111. Packed Beds, Fluidized Beds, a n d Porous Media (11) Baskakov, A. P., “The Mechanism of Heat Transfer between a Fluidized Bed and a Surface,” Intern. Chem. Eng. 4 (Z), 320 (1964). (21) Dunskii V. D., “On the Mechanism of Heat Transfer between a Surface and an Ag;tated Bed of Dispersed Material under Vacuum,” Ibid. (3), p. 405. (31) Gabor J . D., Mecham, W. J. Jonke, A. A “Heat Transfer in Fluidizedpacked b;ds as Applied to the FlGorination of c r a n i u m Dioxide Pellets,” Chem. Ene. Proer. Symp. Ser. 60 (47), 96 (1964). (41) Gel’perin, N. I., Ainshtein V. G., Romanova, N. A,, “On the Effect of the Height of the Heat-Exchange Surface on the Heat-Transfer Coefficient in a Fluidized Bed.” Intern. Chem. Enp. 4 (3), 502 (1964). (51) Gollnick, A. F., Jr., “An Experimental Study ofTherma1 Diffusion Effectson a Partially Porous Mass Transfer-Cooled Hemisphere,” Intern. J . Heat Mass Transfer 7 (7), 699 (1964). (61) Green D. I%‘., Perry, R. H., Babcock R. E., “Longitudinal Dispersion of Thermal’Energy through Porous Media h t h a Flowing Fluid,” A.I.Ck.E. J . 10 (5), 645 (1964). (71) Harper, J. C., El Sahrigi, A . F., “Thermal Conductivities of Gas-Filled Porous Solids,” IND.ENC. CHEM. FUNOAh