An extension of the linear Luikov system equations of heat and mass transfer

作者：Silva Fernanda R G B; Goncalves Giane; Lenzi Marcelo K; Lenzi Ervin K^*

来源：International Journal of Heat and Mass Transfer, 2013, 63: 233-238.

DOI：10.1016/j.ijheatmasstransfer.2013.04.007

• Luikov systems equations
• Generalized the Fourier and Fick laws
• Anomalous diffusion

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.

• 出版日期2013-8