Title Steady state non-Newtonian flow with strain rate dependent viscosity in domains with cylindrical outlets to infinity /
Authors Panasenko, Grigory ; Pileckas, Konstantinas ; Vernescu, Bogdan
DOI 10.15388/namc.2021.26.24600
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Is Part of Nonlinear analysis: modelling and control.. Vilnius : Vilniaus universiteto leidykla. 2021, vol. 26, no. 6, p. 1166-1199.. ISSN 1392-5113. eISSN 2335-8963
Keywords [eng] non-Newtonian flow ; strain rate dependent viscosity ; quasi-Poiseuille flows ; domains with outlets to infinity
Abstract [eng] The paper deals with a stationary non-Newtonian flow of a viscous fluid in unbounded domains with cylindrical outlets to infinity. The viscosity is assumed to be smoothly dependent on the gradient of the velocity. Applying the generalized Banach fixed point theorem, we prove the existence, uniqueness and high order regularity of solutions stabilizing in the outlets to the prescribed quasi-Poiseuille flows. Varying the limit quasi-Poiseuille flows, we prove the stability of the solution.
Published Vilnius : Vilniaus universiteto leidykla
Type Journal article
Language English
Publication date 2021
CC license CC license description