EFFECT OF MASS TRANSFER ON THE MOTION OF A LIQUID--LIQUID INTERFACE. Page: 54 of 97
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48
spreading, therefore the rate of change of DP with arc length is rapid
since the total variation in interfacial tension covers a small distance.
The total interfacial tension change--the difference between the new inter-
facial tension at the apex and the unchanged value at the outer edge of
spreading--was assumed constant over the 25 millisecond time interval. At
the later time, the total change in q is unchanged, but it extends over a
much larger distance. Thus, the slope of DP is not as steep as before.
The formation of a surface wave propagating from the apex of the
droplet, causes DP to become negative at some value of s less than the
radius of spreading. This tends to increase the slope of DP for all the
curves and causes the value of DP to oscillate about the horizontal axis.
Waves may actually be seen in motion pictures of the dynamic drops, but no
attempt was made to compare these waves to the calculated pressure distri-
bution. Later, the wave like portion of the dynamic pressure at large
values of s will be shown to have little effect on the droplet shape,
however.
In 25 milliseconds the solute had spread 0.8 centimeter over the
negative-beta drop and 1.2 centimeters over the positive-beta drop. It
should be noted that the arc length of the positive-beta drop is about 0.8
centimeter from apex to base, but the distribution was calculated on the
basis that the extent of the interface was infinite. Again, the most
significant fluctuations are those near the apex, so small errors in DP
near the base should have little effect on the shape of either drop.
The total change in the value of the interfacial tension was assumed
to be constant throughout the whole time interval. Evidence verifying the
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Scholle, W A. EFFECT OF MASS TRANSFER ON THE MOTION OF A LIQUID--LIQUID INTERFACE., thesis or dissertation, January 1, 1970; [Ames,] Iowa. (https://digital.library.unt.edu/ark:/67531/metadc868665/m1/54/: accessed March 29, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.