Exact and numerical solutions to a Stefan problem with two moving boundaries

Steven I. Barry; James Caunce

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Exact and numerical solutions to a Stefan problem with two moving boundaries

机译：具有两个移动边界的Stefan问题的精确解和数值解

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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.

机译：油脂，谷物和聚合物的溶胀可以通过具有两个运动边界的非线性扩散方程来建模，通常称为Stefan问题。在这里，我们为各种参数范围的线性和非线性扩散率提供了数值和精确的解析解。我们检查了通常的伪稳态假设的局限性，并说明了此问题的有趣动态。

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《Applied Mathematical Modelling》 |2008年第1期|p.83-98|共16页
作者
Steven I. Barry; James Caunce;
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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类应用数学;
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Exact and numerical solutions to a Stefan problem with two moving boundaries

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