Does the Chapman-Enskog expansion for viscous granular flows converge?

Andres Santos

doi:10.1063/1.2964892

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arXiv · 0804.2563

Does the Chapman-Enskog expansion for viscous granular flows converge?

Andres Santos

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Abstract

This paper deals with the convergence/divergence issue of the Chapman-Enskog series expansion of the shear and normal stresses for a granular gas of inelastic hard spheres. From the exact solution of a simple kinetic model in the uniform shear and longitudinal flows, it is shown that (except in the elastic limit) both series converge and their respective radii of convergence increase with inelasticity. This paradoxical result can be understood in terms of the time evolution of the Knudsen number and the existence of a nonequilibrium steady state.

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Andres Santos. 2008-04-16. Does the Chapman-Enskog expansion for viscous granular flows converge?. https://doi.org/10.1063/1.2964892

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