Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



A note on Onsager's relations

Author: M. Šilhavý
Journal: Quart. Appl. Math. 52 (1994), 469-479
MSC: Primary 73F10; Secondary 73B30, 73F99
DOI: https://doi.org/10.1090/qam/1292198
MathSciNet review: MR1292198
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Abstract: A nonlinear viscoelastic material with the heat flux obeying a generalization of Cattaneo's law is considered. It is shown that for slow processes with small gradients of temperature the exact constitutive equations can be approximated by those of a linear viscous material with Fourier heat conduction. As a consequence of the thermodynamic restrictions on the original constitutive equations, the approximate constitutive equations are shown to satisfy the principle of local equilibrium for energy and entropy, and the kinetic coefficients giving the viscous stress and heat flux vector satisfy Onsager's relations.

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DOI: https://doi.org/10.1090/qam/1292198
Article copyright: © Copyright 1994 American Mathematical Society

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