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

Note on the Mathematical Analysis of the Motion of a Rigid Body in a Generalized Incompressible Navier - Stokes Fluid
Al Baba H., Ghosh A., Muha B., Nečasová Š.
Abstract:
We deal with a fluid-structure interaction problem: a motion of the rigid body inside a bounded domain filled by a fluid. We consider a viscous incompressible fluid described by the generalized incompressible Navier-Stokes equations which include cases of Newtonian and non-Newtonian fluids. The fluid and the rigid body are coupled via the Navier slip boundary conditions and the motion of the solid is governed by Newton
Keywords:
Navier-Stokes equations, non-Newtonian fluid, Navier slip condition, strong solution

Fulltext: PDF DOI: https://doi.org/10.14311/TPFM.2021.001

In Proceedings Topical Problems of Fluid Mechanics 2021, Prague, 2021, Edited by Tomáš Bodnár, Tomáš Neustupa and David Šimurda, pp. 1-7 ISBN 978-80-87012-76-5 (Print) ISSN 2336-5781 (Print)