Couette Flow in Continuum to Free Molecular Regime
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By use of the direct-simulation method of Nanbu, the Couette flow for wall Mach number 3 is analysed over the whole range of the Knudsen number. Gas is a monatomic one of Maxwell molecules. By comparing the numerical solution obtained from simulation calculations with the approximate six-moment solution of Liu and Lees, the accuracy of the latter is examined in detail. As to the flow velocity and shearing stress, the six-moment solution shows reasonable agreement with the simulation solution. As to the temperature, density, and heat flux, the error of the six-moment solution is not small in all flow regimes except near-continuum one. As to the pressure, it is not uniform in the transition regime, differently from the prediction of the six-moment solution.
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