期刊
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
卷 72, 期 6, 页码 -出版社
SPRINGER INT PUBL AG
DOI: 10.1007/s00033-021-01625-4
关键词
Grad's 13-moment system; Nonlocal constitutive equations; Thermal wave speed; Guyer-Krumhansl equation
资金
- Universita degli Studi della Basilicata within the CRUI-CARE Agreement
The study shows that the constitutive equations of nonequilibrium thermodynamics must be nonlocal. A thermodynamic model of the Guyer-Krumhansl heat-transport equation is derived within the framework of weakly nonlocal Rational Thermodynamics. Additionally, some nonlinear generalizations of the Maxwell-Cattaneo equation were studied in the context of experiments on thermal wave propagation.
On the example of the celebrated Grad's 13-moment system of kinetic theory of rarefied gases and phonon hydrodynamics, it is proved that the constitutive equations of nonequilibrium thermodynamics must be nonlocal. A thermodynamic model of Guyer-Krumhansl heat-transport equation is derived within the frame of weakly nonlocal Rational Thermodynamics. The constitutive equation for the entropy flux is analyzed as well. Some nonlinear generalizations of Maxwell-Cattaneo equation are studied in view of the experiments on thermal wave propagation.
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