Math. Model. Nat. Phenom.
Volume 17, 2022
|Number of page(s)||36|
|Published online||29 June 2022|
Steady state non-Newtonian flow with strain rate dependent viscosity in thin tube structure with no slip boundary condition
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
* Corresponding author: firstname.lastname@example.org
Accepted: 24 January 2022
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.
Mathematics Subject Classification: 35Q35 / 76D07
Key words: Non-Newtonian flow / strain rate dependent viscosity / asymptotic approximation / quasi-Poiseuille flows / boundary layers / method of asymptotic partial decomposition
© The authors. Published by EDP Sciences, 2022
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