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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2018 Number 4, Pages 60–69 (Mi ivm9349)

This article is cited in 1 paper

Investigation of boundary-value problem for stationary system of equations of viscous non-isothermal fluid

N. V. Malaia, E. R. Shchukinb, A. V. Limanskayaa

a Belgorod State National Research University, 85 Pobedy str., Belgorod, 308015 Russia
b Joint Institute for High Temperatures of the Russian Academy of Sciences, 13 Izhorskaya str., bld. 2, Moscow, 125412 Russia

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 system of Navier–Stokes equations and the equation of heat transfer given an exponential-power law of dependence of viscosity of liquids on temperature.

Keywords: equations of hydrodynamics, the linearized by velocity Navier–Stokes equation.

UDC: 517.957:517.958

Received: 08.02.2017


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2018, 62:4, 52–59

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© Steklov Math. Inst. of RAS, 2024