Article ID Journal Published Year Pages File Type
1706985 Applied Mathematical Modelling 2008 16 Pages PDF
Abstract

The swelling of grease, grain and polymers can be modelled by a nonlinear diffusion equation with two moving boundaries, commonly called a Stefan problem. We present here numerical and exact analytical solutions for both linear and nonlinear diffusivities for a variety of parameter ranges. We examine the limitations of the usual pseudo-steady-state assumption and illustrate the interesting dynamics of this problem.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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