RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PERSONAL OFFICE
 General information Latest issue Archive Impact factor Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 Zh. Vychisl. Mat. Mat. Fiz.: Year: Volume: Issue: Page: Find

 Zh. Vychisl. Mat. Mat. Fiz., 2018, Volume 58, Number 7, Pages 1178–1188 (Mi zvmmf10753)

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.

DOI: https://doi.org/10.31857/S004446690000365-2

References: PDF file   HTML file

English version:
Computational Mathematics and Mathematical Physics, 2018, 58:7, 1132–1141

Bibliographic databases:

Document Type: Article
UDC: 519.635
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

Citation in format AMSBIB
\Bibitem{GluMalShc18} \by A.~V.~Glushak, N.~V.~Malai, E.~R.~Shchukin \paper Solution of a boundary value problem for velocity-linearized Navier--Stokes equations in the case of a heated spherical solid particle settling in fluid \jour Zh. Vychisl. Mat. Mat. Fiz. \yr 2018 \vol 58 \issue 7 \pages 1178--1188 \mathnet{http://mi.mathnet.ru/zvmmf10753} \crossref{https://doi.org/10.31857/S004446690000365-2} \elib{http://elibrary.ru/item.asp?id=35723871} \transl \jour Comput. Math. Math. Phys. \yr 2018 \vol 58 \issue 7 \pages 1132--1141 \crossref{https://doi.org/10.1134/S0965542518070114} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000442613300011} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85052217451}