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Analytical Solution of a Nonhomogeneous Kinetic Equation with a Variable Frequency of Collisions

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Journal of Engineering Physics and Thermophysics Aims and scope

Abstract

The problem of calculation of a correction to the coefficient of isothermal slip that is due to the wall curvature is solved. For this purpose we constructed the exact solution of a nonhomogeneous model kinetic Boltzmann equation with a collision operator in the form of the BGK model with the frequency of collisions proportional to the modulus of the intrinsic velocity of gas molecules. Comparison with the results obtained earlier is given.

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REFERENCES

  1. C. Cercignani, Mathematical Methods in the Kinetic Theory of Gases [Russian translation], Moscow (1973).

  2. C. Cercignani, Theory and Application of the Boltzmann Equation [Russian translation], Moscow (1978).

  3. C. Cercignani, in: Non-Equilibrium Phenomena. The Boltzmann Equations [Russian translation], Moscow (1986), pp. 132–203.

  4. A. V. Latyshev and A. A. Yushkanov, Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza, No. 3, 140–153 (1996).

  5. A. V. Latyshev and A. A. Yushkanov, Exact Solutions of Boundary-Value Problems for the Model Boltzmann Equations with a Variable Frequency of Collisions [in Russian], Moscow (1996). Dep. at VINITI on April 25, 1996, No. 1360-V96.

  6. F. D. Gakhov, Boundary-Value Problems [in Russian], Moscow (1977).

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Authors and Affiliations

  1. Pomor'e State University, Arkhangel'sk, Russia

    A. V. Latyshev, V. N. Popov & A. A. Yushkanov

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  1. A. V. Latyshev
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  2. V. N. Popov
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  3. A. A. Yushkanov
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Latyshev, A.V., Popov, V.N. & Yushkanov, A.A. Analytical Solution of a Nonhomogeneous Kinetic Equation with a Variable Frequency of Collisions. Journal of Engineering Physics and Thermophysics 75, 651–654 (2002). https://doi.org/10.1023/A:1016853426009

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  • DOI: https://doi.org/10.1023/A:1016853426009

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