Topical Problems of Fluid Mechanics


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Institute of Thermomechanics AS CR, v.v.i. CTU in Prague Faculty of Mech. Engineering Dept. Tech. Mathematics MIO Université du Sud Toulon Var - AMU - CNRS - IRD Czech Pilot centre ERCOFTAC
On the Existence of a Weak Solution of a Steady Flow of a Heat Conductive Incompressible Fluid Through a Cascade of Profiles

Neustupa T.

Abstract:
This presented paper deals with the study of a mathematical model of a stationary flow of a heat-conductive incompressible viscous fluid through a spatially periodic plane profile cascade. We study the boundary value problem reduced to one spatial period. The existence of a weak solution of a coupled problem is proved, with various boundary conditions on the parts of the boundary. The condition on the outflow is a variant of the so called \do nothing" boundary condition.

Keywords:
Navier–Stokes equations, cascade of profiles, weak solution, natural boundary condition, coupled problem, boundary value problem
Fulltext: PDF
DOI: http://dx.doi.org/10.14311/TPFM.2016.020
In Proceedings Topical Problems of Fluid Mechanics 2016, Prague, 2016 Edited by David Šimurda and Tomáš Bodnár, pp. 151-156
ISBN 978-80-87012-58-1 (Print)
ISSN 2336-5781 (Print)
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