Fluids with Multivalued Internal Energy: The Anisotropic Case View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2004

AUTHORS

P. Degond , M. Lemou , J. L. Lòpez

ABSTRACT

This work is concerned with some extensions of the classical compressible Euler model of fluid dynamics in which the fluid internal energy is a measure-valued quantity. A first extension has been derived from the hydrodynamil limit of a kinetic model involving a specific class of collision operators [1,3]. In these papers the collision operator simply describes the isotropization of the kinetic distribution function about some averaging velocity. In the present work we present a new extension of such models in which the relaxed distribution is anisotropic. Similarly to [1] and [3] this model is derived from a kinetic equation with a collision operator that relaxes to anisotropic equilibria. We then investigate diffusive corrections of this fluid dynamical model using Chapman-Enskog techniques and show how the anisotropic character affects the expression of the viscosity and of the heat flux. We argue why such a feature could be used as a tool towards an understanding of fluid turbulence from kinetic theory. More... »

PAGES

121-136

References to SciGraph publications

Book

TITLE

Transport in Transition Regimes

ISBN

978-1-4612-6507-8
978-1-4613-0017-5

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-1-4613-0017-5_7

DOI

http://dx.doi.org/10.1007/978-1-4613-0017-5_7

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1044405077


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