Journal
APPLIED MATHEMATICAL MODELLING
Volume 32, Issue 1, Pages 83-98Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2006.11.004
Keywords
Stefan; moving-boundary; diffusion; swelling
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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. (C) 2006 Elsevier Inc. All rights reserved.
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