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首页> 外文期刊>International Journal of Heat and Mass Transfer >An extension of the linear Luikov system equations of heat and mass transfer
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An extension of the linear Luikov system equations of heat and mass transfer

机译：线性传热传质Luikov系统方程的扩展

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摘要

We present an extension of the linear Luikovs system of equations of the coupled heat and mass transfer through porous media. This extension is based on generalizations of the Fourier and Fick laws connected to non-Markovian processes, i.e., anomalous diffusion, which has as particular case the framework of fractional diffusion equations. The generalization procedure led to a mathematical formalism involving integro-differential equations in which an integration kernel plays a key role. This kernel depends on the diffusive system and according to its mathematical expression analytical solutions can be obtained. As an illustration, we analyze, by using the Laplace transform and Fourier series, a one-dimensional system of finite size.
机译：我们提出了线性Luikovs方程组通过多孔介质传热和传质的扩展。这种扩展是基于与非马尔可夫过程（即反常扩散）有关的傅立叶和菲克定律的推广，反常扩散具有分数扩散方程的框架。泛化过程导致涉及积分微分方程的数学形式主义，其中积分核起着关键作用。该内核取决于扩散系统，并根据其数学表达式可以获得解析解。作为说明，我们使用拉普拉斯变换和傅里叶级数分析有限尺寸的一维系统。

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