H4
The Electric Field cf a Moving Uncharged S/O 6 9 /6 C) / C) 2' j OD CC'
Drc~p. 2. The Theory cf the Electrl.c- Field 1,C) I C,/"Bc) (".I
of a Drop Centaim"ng a Nor~
T),is h:Id5 for the ateady motion cf a dtop, whinh i, fier.,,
ISSUMine, U 'all ing drcp in an ion-free gag, rihost mclicr- -Kara- !-,!' 1 2,- -
by Re a + 6 +2L. C I denotes the number of liquid molecules
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87409
The Influence of Monomolecular Layers Upon S/020/60,/135/006/025/037
the Evaporation of Drops B004/BO56
per cm3 of film, C 2 the concentration of vapor in the air, a the radius of
the drop, 6 the thickness of the film, % the thickness of the layer of air
immediately adjoining the film. AV A2v Bit B 2are coefficients. On the
basis of the boundary conditions for diffusion on the boundaries r - a +
and r a + 6 4 Xthe following relation is derived for a film (6 4
concentration effecting the shift of the shedding line is 5-10- gmole/1
according to (29), which corresponds to the concentrations of xanthogenate
used in industrial flotation. Since these correspond to (14), they have
no retardation effect on the bubble surface. In the zone~.i7E, J2(G) grov"s
more rapidly than J 1(~).- The comparison of the components of, (25) is
only of use. if G-'9 '-iihere 9 position of t~e shedding lines in Dure
\ lp 1D ~
liquid. The "critical" concentration, where a shift of the sheddin.4,,,Iines
begins, is: ganU2 -sint 0,,
clip - (31)
(2vDPRTJ,(D,p)'
7"ith co~clc'o the shedding lines are shifted to the zone Q~"P,P* Since in
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5
S/076/61/035/006/005/013
Kinetics of minera-1 ... B110/B220
this case the first comporient of (25) is larger than the second,
J2 (01) 9TIU.,- 'i (32a)
i7ln-101 - (2vD)'/s RTco
holds which after transformation has the form
j,(Q,) sin"OP oil
UP
J..(O,,) sin*ol - CO (33j -
The bubble surface consists of: (A) shedding zone, (B) zone of transiiion,
and (C) zone of slight-xetardation. Since (25) applies only for (C), it
has to be defined more exactly: If (7) hol('Athe retardation in" (C) may
be described by comparing the third and first components of (13) and 1(2~).
1 2 (9)/sin29
in case (14) it is fl(~)=J,(G)/sin 9, in case (15) f2(Q)=j2
(Figs. I and 2). The difference between the two amounts to 4 powers of
ten, e. g. for (14)- c =jo-3gmole/j, for (15): c - lo-7-c7niole/l. In
0
kp kD
1 shifted from the reAr to the equator at concen-.
(14) 'he shedding linv,--k-1
trations from ckp to tRe ckp , i. e. for an increase in concentration by 1
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S/076/61/035/006/005/013
Kinetics of mineral ... B110/B220
power of ten. In (15) the increase in concentration must be 4 powers of
ten. Since for 0 - 90-1700 f 2(9) decreases more rapidly than fl(g), with
decreasing 9 the zone 9