Topical Problems of Fluid Mechanics


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

A Nonlinear Boundary Condition for the Radial Blade Machine
T. Neustupa
Abstract:
The goal of this paper is to study the case of a boundary condition on the outflow part of boundary from a radial blade machine. This mathematical model comes from a study of Kaplan's or Francis's turbine. We discuss the boundary condition and formulate the appropriate boundary value problem and we will formulate the theorem on existence of a weak solution.
Keywords:
Navier-Stokes equations, cascade of profiles, weak solution, natural boundary condition, radial symmetry, boundary value problem.

Fulltext: PDF DOI: https://doi.org/10.14311/TPFM.2017.030

In Proceedings Topical Problems of Fluid Mechanics 2017, Prague, 2017 Edited by David Šimurda and Tomáš Bodnár, pp. 235-240 ISBN 978-80-87012-61-1 (Print) ISSN 2336-5781 (Print)