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Rarefied gas deceleration in a channel in the case of expansion into a vacuum

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Abstract

The time-dependent problem of the development of a rarefied flow in a plane channel formed by two parallel infinite plates is considered on the basis of a kinetic model. At the initial moment of time the gas at rest occupies half the channel and borders on a vacuum. The effect of gas deceleration at the channel walls is studied as a function of the gas rarefaction degree under the conditions of the diffuse reflection of molecules from the boundary. Emphasis is placed on the calculations of the time dependence of the integral gas mass flux through the boundary separating the gas from the vacuum at the initial moment. The deceleration of the conditional expansion wave front and the conditional front of gas expansion into the vacuum is traced. The kinetic equation is numerically solved using a first-order difference method.

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Correspondence to N. A. Konopel’ko.

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Original Russian Text © N.A. Konopel’ko, V.A. Titarev, E.M. Shakhov, 2015, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2015, Vol. 50, No. 2, pp. 129–141.

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Konopel’ko, N.A., Titarev, V.A. & Shakhov, E.M. Rarefied gas deceleration in a channel in the case of expansion into a vacuum. Fluid Dyn 50, 294–305 (2015). https://doi.org/10.1134/S0015462815020131

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  • DOI: https://doi.org/10.1134/S0015462815020131

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