Analysis of the Couette Flow by Means of the New Direct-Simulation Method

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  • Analysis of the Couette Flow by Means o

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By use of the new direct-simulation method, the exact numerical solution of the Couette-flow problem is obtained over the whole range of the Knudsen number. (The wall Mach number is 3.0) By comparing the obtained solution with the approximate six-moment solution, 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 fairly large in all flow regimes except the near-continuum one; as to the pressure, it is not uniform in the transition-flow regime, differently from the prediction of the six-moment solution.

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