The diffusion equation was numerically solved by an implicit finite-difference method for the purpose of calculating the continuous phase Sherwood number, Sh, for mass transfer from an internally circulating Newtonian droplet traveling through a non-Newtonian power-law-type continuous phase in the creeping flow regime. The Mohan stream functions were used in the calculations in order to approximate the velocity profile inside and outside the droplet. The calculated Sh is presented as a function of the Peclet number, Pe, power-law index, n, and a viscosity ratio parameter, X. Sh increases as n decreases in the pseudoplastic region. The dependence of Sh on n is important when Pe is greater than 102, except when both X > 1 and Pe > 104. When used with the Mohan stream functions, the Baird and Hamielec short-range diffusion equation provides a close approximation for Sh when X < 3, provided that Pe > 104. The mass transfer model for the dispersed phase was also numerically solved in order to determine the effect of continuous phase pseudoplasticity, n. Although a slight increase in the total amount of mass transferred, Amt, with a decrease in n was determined, it is concluded that the power-law behavior in the continuous phase does not affect to any appreciable extent the internal mass transfer, either with or without chemical reaction in the fluid sphere. Amt increases with decreasing X, and this dependency is particularly important when mass transfer occurs with chemical reaction in the dispersed phase. © 1976, American Chemical Society. All rights reserved.


Chemical and Biochemical Engineering

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Article - Journal

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© 2023 American Chemical Society, All rights reserved.

Publication Date

01 Jan 1976