Steady state non-Newtonian flow with strain rate dependent viscosity in thin tube structure with no slip boundary condition
Grigory P. Panasenko, Konstantin Pileckas, Bogdan Vernescu · Mathematical Modelling of Natural Phenomena · 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.