EFFECT OF MASS TRANSFER ON THE MOTION OF A LIQUID--LIQUID INTERFACE. Page: 55 of 97
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49
assumption comes from two sources. As shown in Appendix II the spreading
rate is nearly independent of the volume of solute; the spreading rate
depends only on the solute concentration for the experiments performed.
The graphs in Appendix I show the rate of apex movement to be nearly inde-
pendent of the volume of solute. The 0.2 microliters of solute must surely
be able to hold the concentration constant for a longer time than the 0.1
microliters of solute, but both produce the same response. This tends to
justify the assumption that the concentration remained constant at its
initial value at the apex over the 25 millisecond time interval.
Since the interfacial tension change is approximately the same for
both drops, the magnitude of DP at the origin differs for the two drops due
to differences in curvature. The positive-beta drop, having the greater
curvature, also tends to have a more rapid decrease in DP with arc length.
However, the higher rate of spreading found in the positive-beta system
tends to counteract the effect of different curvatures when the two drops
are compared at the same time.
The distributions were calculated at 5, 10, 15, 20, and 25 milli-
seconds for each drop. These intervals along with the corresponding droplet
heights are given in Table T. Then the droplet profiles were calculated
at each time-interval. The procedure involved a nested iteration to solve
for the parameters b and a. A value of a was assumed; then b was adjusted
to satisfy the droplet height and base diameter boundary conditions. The
resulting volume of revolution was calculated and plotted against a as
shown in Figures 16 and 17. The intersection of this plotted curve with
the line representing the actual droplet volume determined the value of a.
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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/m1/55/: accessed April 19, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.