Solution of a Boundary Value Problem for Velocity-Linearized Navier–Stokes Equations in the Case of a Heated Spherical Solid Particle Settling in Fluid


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Assuming that the fluid viscosity is an exponential-power function of temperature, a boundary value problem for the Navier–Stokes equations linearized with respect to velocity is solved and the uniqueness of the solution is proved. The problem of a nonuniformly heated spherical solid particle settling in fluid is considered as an application.

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N. Malai

Belgorod State University

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Email: malay@bsu.edu.ru
俄罗斯联邦, Belgorod

A. Glushak

Belgorod State University

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Email: aleglu@mail.ru
俄罗斯联邦, Belgorod

E. Shchukin

Joint Institute of High Temperatures, Russian Academy of Sciences

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Email: evgrom@yandex.ru
俄罗斯联邦, Moscow

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