Please use this identifier to cite or link to this item: http://hdl.handle.net/10995/102982
Title: An exact solution of the convective Couette flow under the parabolic heating condition at the lower boundary of a fluid layer
Authors: Pnvalova, V. V.
Prosviryakov, E. Y.
Issue Date: 2020
Publisher: American Institute of Physics Inc.
Citation: Pnvalova V. V. An exact solution of the convective Couette flow under the parabolic heating condition at the lower boundary of a fluid layer / V. V. Pnvalova, E. Y. Prosviryakov. — DOI 10.1063/5.0036691 // AIP Conference Proceedings. — 2020. — Vol. 2315. — 050021.
Abstract: A new exact solution of the Navier-Stokes equation for the convective flow of an infinite horizontal layer of a viscous incompressible fluid is obtained. Parabolic heating is specified at one of the layer boundaries. The other boundary of the fluid layer is permeable. The obtained exact solution generalizes the isothermal Couette flow and the Ostroumov- Binkh convective analogues. The proposed class of exact solutions takes mto account the horizontal change in hydrodynamic fields. The obtained solution analysis for the velocity and temperature fields is presented. The possibility of the existence of stagnation points and counterflow areas in a moving layer of a non-isothermal viscous incompressible fluid is demonstrated. © 2020 American Institute of Physics Inc.. All rights reserved.
URI: http://hdl.handle.net/10995/102982
Access: info:eu-repo/semantics/openAccess
SCOPUS ID: 85098660986
PURE ID: 20378138
215499b7-b2ba-4de9-a9c4-ea7bf05fa2aa
ISSN: 0094243X
ISBN: 9780735440579
DOI: 10.1063/5.0036691
Appears in Collections:Научные публикации, проиндексированные в SCOPUS и WoS CC

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