"A mathematical model for molecular diffusion in a torus was derived. Handlos and Baron have assumed a system of tori in their eddy diffusion model for liquid-liquid extraction from droplets. However, the effect of torus curvature was neglected in their studies. Since they assumed the torus could be represented by an infinite cylinder. In this study, the effect of torus curvature was considered on the concentration profile and the fraction of the solute extracted. The partial differential equation describing the model consists of three independent variables, and a finite difference technique was employed for the solution of the mathematical model. It was found in this work that the concentration profiles within a torus differed from those in an infinite cylinder. However, it was also found that the fraction of solute extracted in a torus was nearly identical to that predicted using the solution for an infinite cylinder. Since the effect of the torus curvature is negligible, the solution for an infinite cylinder may be used for diffusion to a torus"--Abstract, page x.
Wellek, Robert M.
Findley, Marshall E., 1927-1991
Rivers, Jack L.
Chemical and Biochemical Engineering
M.S. in Chemical Engineering
University of Missouri at Rolla
x, 71 pages
© 1967 Kamalesh Suryakant Desai, All rights reserved.
Thesis - Open Access
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Desai, Kamalesh Suryakant, "Mass transfer from a torus shaped body" (1967). Masters Theses. 5160.