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arXiv · 1502.03516

A rigorous derivation of multicomponent diffusion laws

Zaibao Yang·Wen-An Yong·Yi Zhu
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Abstract

This article is concerned with the dynamics of a mixture of gases. Under the assumption that all the gases are isothermal and inviscid, we show that the governing equations have an elegant conservation-dissipation structure. With the help of this structure, a multicomponent diffusion law is derived mathematically rigorously. This clarifies a long-standing non-uniqueness issue in the field for the first time. The multicomponent diffusion law derived here takes the spatial gradient of an entropic variable as the thermodynamic forces and satisfies a nonlinear version of the Onsager reciprocal relations.

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Zaibao Yang, Wen-An Yong, Yi Zhu. 2015-02-12. A rigorous derivation of multicomponent diffusion laws. https://arxiv.org/abs/1502.03516

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