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Type: Artigo de periódico
Title: Theoretical analysis of the diffusion process inside prolate spheroidal solids
Author: de Lima, AGB
Nebra, SA
Abstract: A numerical solution of the diffusion equation to describe solute transport inside ellipsoids, assuming a constant diffusion coefficient and a convective boundary condition, is presented. The diffusion equation in a prolate spheroidal coordinate system was used for a bidimensional case. The finite volume method was-employed to discretize the basic equation, utilizing a uniform grid size. The equation was solved iteratively using the Gauss-Seidel method. The effect of Blot number and the aspect ratio of the body on diffusion rate and concentration during the process is presented. Plots are presented for Blot numbers from 0.05 to infinity and aspect ratios of 1.1, 2.0 and 5.0. To investigate the effect of the aspect ratio, different results changing the aspect ratio for Bi=1.0 are shown. The results show that the model is consistent and it may be used to solve other cases such as those that include cylinder and sphere geometry, and/or those with variable diffusion coefficients with small modifications.
Subject: simulation
elliptical geometry
Country: EUA
Editor: Marcel Dekker Inc
Rights: fechado
Identifier DOI: 10.1080/07373930008917691
Date Issue: 2000
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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