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. 151-156ISBN 978-80-87012-58-1 (Print)ISSN 2336-5781 (Print) |