Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1706985 | Applied Mathematical Modelling | 2008 | 16 Pages |
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
Authors
Steven I. Barry, James Caunce,