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This article is cited in 3 scientific papers (total in 3 papers)
Solution of a boundary value problem for velocity-linearized Navier–Stokes equations in the case of a heated spherical solid particle settling in fluid
A. V. Glushaka, N. V. Malaia, E. R. Shchukinb a Belgorod State University, Belgorod, Russia
b Joint Institute of High Temperatures, Russian Academy of Sciences, Moscow, Russia
Abstract:
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.
Key words:
Navier–Stokes equation linearized with respect to velocity, boundary value problem for a viscous incompressible nonisothermal fluid.
Received: 06.04.2016 Revised: 26.12.2017
Citation:
A. V. Glushak, N. V. Malai, E. R. Shchukin, “Solution of a boundary value problem for velocity-linearized Navier–Stokes equations in the case of a heated spherical solid particle settling in fluid”, Zh. Vychisl. Mat. Mat. Fiz., 58:7 (2018), 1178–1188; Comput. Math. Math. Phys., 58:7 (2018), 1132–1141
Linking options:
https://www.mathnet.ru/eng/zvmmf10753 https://www.mathnet.ru/eng/zvmmf/v58/i7/p1178
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