Plane Couette flow of binary gaseous mixture in the whole range of the Knudsen number |
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Authors: | Felix Sharipov Liliana M. Gramani Cumin Denize Kalempa |
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Affiliation: | a Departamento de Física, Universidade Federal do Paraná, Caixa Postal 19044, 81531-990, Curitiba, Brazil;b Departamento de Matemática, Universidade Federal do Paraná, Caixa Postal 19044, 81531-990, Curitiba, Brazil |
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Abstract: | The Couette flow of binary gaseous mixtures is studied on the basis of the McCormack model of the Boltzmann equation, which was solved numerically by the discrete velocity method. The calculations were carried out for three mixtures of noble gases: neon–argon, helium–argon, and helium–xenon. The stress tensor and bulk velocity of both species were calculated for several values of the gas rarefaction in the range from 0.01 to 40 for three values of the molar concentrations: 0.1,0.5 and 0.9. The numerical solution together with an analytical solution based on the slip boundary condition cover the whole range of the gas rarefaction. It was showed that the Couette flow is weakly affected by the intermolecular interaction law. |
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Keywords: | Rarefied gases Mixtures Couette flow Knudsen number |
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