Nonlinear transport for a dilute gas in steady Couette flow
作者:
V. Garzo´,
M. Lo´pez de Haro,
期刊:
Physics of Fluids
(AIP Available online 1997)
卷期:
Volume 9,
issue 3
页码: 776-787
ISSN:1070-6631
年代: 1997
DOI:10.1063/1.869232
出版商: AIP
数据来源: AIP
摘要:
Transport properties of a dilute gas subjected to arbitrarily large velocity and temperature gradients (steady planar Couette flow) are determined. The results are obtained from the so-called ellipsoidal statistical (ES) kinetic model, which is an extension of the well-known BGK kinetic model to account for the correct Prandtl number. At a hydrodynamic level, the solution is characterized by constant pressure, and linear velocity and parabolic temperature profiles with respect to a scaled variable. The transport coefficients are explicitly evaluated as nonlinear functions of the shear rate. A comparison with previous results derived from a perturbative solution of the Boltzmann equation as well as from other kinetic models is carried out. Such a comparison shows that the ES predictions are in better agreement with the Boltzmann results than those of the other approximations. In addition, the velocity distribution function is also computed. Although the shear rates required for observing non-Newtonian effects are experimentally unrealizable, the conclusions obtained here may be relevant for analyzing computer results. ©1997 American Institute of Physics.
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