Steady state non-Newtonian flow with strain rate dependent viscosity in domains with cylindrical outlets to infinity

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, uniquene...

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Autores principales: Grigory Panasenko, Konstantin Pileckas, Bogdan Vernescu
Formato: article
Lenguaje:EN
Publicado: Vilnius University Press 2021
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Acceso en línea:https://doaj.org/article/537f6d4a301f4116bb457e5af79c5010
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spelling oai:doaj.org-article:537f6d4a301f4116bb457e5af79c50102021-12-02T19:40:39ZSteady state non-Newtonian flow with strain rate dependent viscosity in domains with cylindrical outlets to infinity10.15388/namc.2021.26.246001392-51132335-8963https://doaj.org/article/537f6d4a301f4116bb457e5af79c50102021-11-01T00:00:00Zhttps://www.journals.vu.lt/nonlinear-analysis/article/view/24600https://doaj.org/toc/1392-5113https://doaj.org/toc/2335-8963 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. Grigory PanasenkoKonstantin PileckasBogdan VernescuVilnius University Pressarticlenon-Newtonian flowstrain rate dependent viscosityquasi-Poiseuille flowsdomains with outlets to infinityAnalysisQA299.6-433ENNonlinear Analysis, Vol 26, Iss 6 (2021)
institution DOAJ
collection DOAJ
language EN
topic non-Newtonian flow
strain rate dependent viscosity
quasi-Poiseuille flows
domains with outlets to infinity
Analysis
QA299.6-433
spellingShingle non-Newtonian flow
strain rate dependent viscosity
quasi-Poiseuille flows
domains with outlets to infinity
Analysis
QA299.6-433
Grigory Panasenko
Konstantin Pileckas
Bogdan Vernescu
Steady state non-Newtonian flow with strain rate dependent viscosity in domains with cylindrical outlets to infinity
description 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.
format article
author Grigory Panasenko
Konstantin Pileckas
Bogdan Vernescu
author_facet Grigory Panasenko
Konstantin Pileckas
Bogdan Vernescu
author_sort Grigory Panasenko
title Steady state non-Newtonian flow with strain rate dependent viscosity in domains with cylindrical outlets to infinity
title_short Steady state non-Newtonian flow with strain rate dependent viscosity in domains with cylindrical outlets to infinity
title_full Steady state non-Newtonian flow with strain rate dependent viscosity in domains with cylindrical outlets to infinity
title_fullStr Steady state non-Newtonian flow with strain rate dependent viscosity in domains with cylindrical outlets to infinity
title_full_unstemmed Steady state non-Newtonian flow with strain rate dependent viscosity in domains with cylindrical outlets to infinity
title_sort steady state non-newtonian flow with strain rate dependent viscosity in domains with cylindrical outlets to infinity
publisher Vilnius University Press
publishDate 2021
url https://doaj.org/article/537f6d4a301f4116bb457e5af79c5010
work_keys_str_mv AT grigorypanasenko steadystatenonnewtonianflowwithstrainratedependentviscosityindomainswithcylindricaloutletstoinfinity
AT konstantinpileckas steadystatenonnewtonianflowwithstrainratedependentviscosityindomainswithcylindricaloutletstoinfinity
AT bogdanvernescu steadystatenonnewtonianflowwithstrainratedependentviscosityindomainswithcylindricaloutletstoinfinity
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