✦ LIBER ✦

On the viscosity and thermal conduction of fluids with multivalued internal energy

✍ Scribed by Pierre Degond; Mohammed Lemou

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 186 KB
Volume: 20
Category: Article
ISSN: 0997-7546
DOI: 10.1016/s0997-7546(00)01095-5

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✦ Synopsis

This work is concerned with an extension of the classical compressible Euler model of fluid dynamics in which the fluid internal energy is a measure-valued quantity. This model can be derived from the hydrodynamic limit of a kinetic model involving a specific class of collision operators. In the present paper, we investigate diffusive corrections of this fluid dynamical model derived from a Chapman-Enskog expansion of the kinetic model, in the case where the collision time depends on the particle energy in the fluid frame. We show that the closure relations for the stress tensor and heat flux vector differ from their expression in the usual Navier-Stokes model. We argue why such a feature could be used as a tool towards an understanding of fluid turbulence from kinetic theory.  2001 Éditions scientifiques et médicales Elsevier SAS

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