Divergence of the Chapman-Enskog Expansion

Andres Santos, J. Javier Brey, and James W. Dufty
Phys. Rev. Lett. 56, 1571 – Published 14 April 1986
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Abstract

The Chapman-Enskog expansion for a fluid in uniform shear flow is investigated with use of a Bhatnagar-Gross-Krook model for the nonlinear Boltzmann equation. It is shown that an expansion of the pressure tensor in powers of the uniformity parameter (the shear rate) about the origin does not converge for hard spheres. However, a convergent expansion about the point at infinity can be used to establish that this Chapman-Enskog expansion is asymptotic.

  • Received 3 February 1986

DOI:https://doi.org/10.1103/PhysRevLett.56.1571

©1986 American Physical Society

Authors & Affiliations

Andres Santos and J. Javier Brey

  • Departamento de F´isica Teórica, Universidad de Sevilla, 41080 Sevilla, Spain

James W. Dufty

  • Department of Physics, University of Florida, Gainesville, Florida 32601

Comments & Replies

Sahoo, Mishra, and Das Respond

N. Sahoo, K. C. Mishra, and T. P. Das
Phys. Rev. Lett. 56, 1512 (1986)

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Vol. 56, Iss. 15 — 14 April 1986

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