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 |
Full Text |
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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 |
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