This article contains a derivation of the shear rate dependence of the viscosity of a gas in steady Couette flow. The viscosity is found from a solution of the Bhatnagar-Gross-Krook model kinetic equation, taking into account the viscous heating of the gas. The results are in reasonably good agreement with computer molecular dynamic experiments by Naitoh and Ono.
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Robert Zwanzig (1979) studied this question.
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