CORRECTION - "Entrainment of Liquid Films - Drainage, Withdrawal

May 1, 2002 - CORRECTION - "Entrainment of Liquid Films - Drainage, Withdrawal, and Removal". John A. Tallmadge, and Chaim. Gutfinger. Ind. Eng...
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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