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Investigation of Boundary-Value Problem for Stationary System of Equations of Viscous Non-Isothermal Fluid

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Abstract

In the Stokes approximation at small Reynolds and Peclet numbers, we obtain a solution to the boundary-value problem of flow around of particles of spherical shape for stationary system of equations of a viscous non-isothermal fluid comprising a linearized by speed Navier–Stokes equation system and the equation of heat transfer given an exponential-power law of dependence of viscosity of fluid on temperature.

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Authors and Affiliations

  1. Belgorod State National Research University, ul. Pobedy 85, Belgorod, 308015, Russia

    N. V. Malai & A. V. Limanskaya

  2. Joint Institute for High Temperatures of the Russian Academy of Sciences, ul. Izhorskaya 13, Bld. 2, Moscow, 125412, Russia

    E. R. Shchukin

Authors
  1. N. V. Malai
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  2. E. R. Shchukin
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  3. A. V. Limanskaya
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Correspondence to N. V. Malai.

Additional information

Original Russian Text © N.V. Malai, E.R. Shchukin, A.V. Limanskaya, 2018, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, No. 4, pp. 60–69.

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Malai, N.V., Shchukin, E.R. & Limanskaya, A.V. Investigation of Boundary-Value Problem for Stationary System of Equations of Viscous Non-Isothermal Fluid. Russ Math. 62, 52–59 (2018). https://doi.org/10.3103/S1066369X18040060

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  • DOI: https://doi.org/10.3103/S1066369X18040060

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