Steady state non-Newtonian flow with strain rate dependent viscosity in thin tube structure with no slip boundary condition

Grigory Panasenko¹ ; Konstantin Pileckas² ; Bogdan Vernescu³

¹ University of Lyon, UJM, Institute Camille Jordan UMR CNRS 5208, 23 rue P. Michelon, 42023, Saint-Etienne, France
² Institute of Applied Mathematics, Vilnius University, Naugarduko Str., 24, Vilnius 03225, Lithuania
³ Department of Mathematical Sciences, Worcester Polytechnic Institute, Worcester, MA 01609, USA

Mathematical modelling of natural phenomena, Tome 17 (2022), article no. 18

Résumé

The steady state non-Newtonian flow, with strain rate dependent viscosity in a thin tube structure, with no slip boundary condition, is considered. Applying the Banach fixed point theorem we prove the existence and uniqueness of a solution. An asymptotic approximation is constructed and justified by an error estimate.

Détail

DOI : 10.1051/mmnp/2022005

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