CO RRECTl ON
Several errors were made in the publication of the paper by Talmadge and Gutfinger in IND. ENG. CHEW 59 ( l l ) , 18 (November 1967). T h e corrections listed below should be noted :
Fig. No.
1A 3(circle)
Location Page 28, Col. 2 Page 30, Col. 2
Correction
Page 31, Col. 2
See Figure 2A for a correct sketch of free drainage; no liquid bath should be present in free drainage T h e arrows u,, u , u, should represent the magnitude of velocities in the profile
Page 32, Col. 2 Page 33, Col. 1 Page 33, Col. 1 Ref. 10 Ref. 57
Numerical Correction (Reference No. or Year)
.,.
may be due to meniscus effects a t the top of the film (7, 54). However. . . theory, it has been found convenient ( 5 5 )to use G o . . . stability in falling films ( 4 , 74,59), but there is some . . . experimentally (4, 59) and theoretically (74)in gradients in the meniscus (67). Factors to be power law (20) and Ellis types (32, 57). Two theories , , Also reviewed in book form (77, 30). . , personal communication, January
1963.
Location Table I Table IX, Item A1 Table X, Item A3 Table X, Item B5 Page 20, Para. 2 Page 21, Col. 2 Page 22, Col. 2 Page 27, Col. 1 Page 27, Col. 1
Numerical Correction (Reference No. or Year)
Correct Equation
Eq. No. 22
6. Vessels-Jeffreys-England-1930Drainage Photographic film-Non-Newtonian gels (77,53) flow control boxes Precision instruments-Drainage-Restricted (27, 45, 56) Cleaning-Removal-Chem reaction (58) . . . and new results obtained in U. S. (20, 57, 67). . . , flat plate, we have the familiar Nusselt ( 3 5 ) expression . . . shown (62) that the gravity corrected theory is the most . . , withdrawal experiments-those by Van Rossum (56) . , . in withdrawal (20, 56) using the relationship of Equation . . .
ToCs = 0.944 Call6 (1 - P o Z O ) ~ ' ~
23
27
28
UW
LOWER MENISCUS
suppoRTl FIXED
MOVING SUPPORT
(3rd boundary condition) LANDAU-LEVICH 1942
s""oR~
'DY 'ST curvatures matched
SURFACE
U A. FREE DRAlNAGE
8. UNSTEADY WITHDRAWAL
I
C. REMOVAL
Figure 7 . The interrelationships among the processes of DRAINAGE, WITHDRAWAL, A N D REMOVAL
74
INDUSTRIAL AND ENGINEERING C H E M I S T R Y
' D Y
=
?z(x ,
d2h
)
D,
Figure 5. Method of Matching Curvatures
