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Effect of accuracy of solving integral equations for the thermal and viscous Chapman functions on the value of gas-kinetic coefficients

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Abstract

The dependence of the gas-kinetic coefficients on the accuracy of calculating the thermal and viscous Chapman functions for the case of a simple gas in the neighborhood of a plane rigid surface is studied. Expressions for the gas-kinetic coefficients are obtained by solving the Boltzmann equation using the Loyalka method. In order to find the temperature jump we use boundary conditions which take into account the accommodation both on the energy and the momentum. The effect of the accuracy of solving the integral equations for the thermal and viscous functions on the value of the temperature jump and the thermal and isothermal slip coefficients was studied by taking into account one, two or three terms in expansions of these functions in Sonine polynomials. The dependence of the results on the choice of the molecule interaction potential model is analyzed.

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References

  1. M. N. Kogan,Rarefied Gas Dynamics [in Russian], Nauka, Moscow (1967).

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  2. J. Fertziger and G. Caper,Mathematical Theory of the Transport Processes in Gases [Russian translation], Mir, Moscow (1976).

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  3. S. K. Loyalka, “Approximate method in kinetic theory,”Phys. Fluids,14, 2291 (1971).

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Authors
  1. M. N. Gaidukov
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  2. A. G. Lukankin
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Additional information

Moscow. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 2, pp. 190–198, March–April, 1995.

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Gaidukov, M.N., Lukankin, A.G. Effect of accuracy of solving integral equations for the thermal and viscous Chapman functions on the value of gas-kinetic coefficients. Fluid Dyn 30, 317–325 (1995). https://doi.org/10.1007/BF02029846

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  • DOI: https://doi.org/10.1007/BF02029846

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