A note on “Taylor–Couette flow of a generalized second grade fluid due to a constant couple”

In this brief note, we show that the unsteady flow of a generalized second grade fluid due to a constant couple, as well as the similar flow of Newtonian and ordinary second grade fluids, ultimately becomes steady. For this, a new form of the exact solution for velocity is established. This solution...

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Main Authors: C. Fetecau, A. U. Awan, M. Athar
Format: Article
Language:English
Published: Vilnius University Press 2010-04-01
Series:Nonlinear Analysis
Subjects:
Online Access:http://www.journals.vu.lt/nonlinear-analysis/article/view/14351
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author C. Fetecau
A. U. Awan
M. Athar
author_facet C. Fetecau
A. U. Awan
M. Athar
author_sort C. Fetecau
collection DOAJ
description In this brief note, we show that the unsteady flow of a generalized second grade fluid due to a constant couple, as well as the similar flow of Newtonian and ordinary second grade fluids, ultimately becomes steady. For this, a new form of the exact solution for velocity is established. This solution is presented as a sum of the steady and transient components. The required time to reach the steady-state is obtained by graphical illustrations.
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spelling doaj.art-2fc5826b3ea94c31b6f01899a1feb20a2022-12-21T19:15:27ZengVilnius University PressNonlinear Analysis1392-51132335-89632010-04-0115210.15388/NA.2010.15.2.14351A note on “Taylor–Couette flow of a generalized second grade fluid due to a constant couple”C. Fetecau0A. U. Awan1M. Athar2Technical University “Gh. Asachi”of Iasi, RomaniaGC University, PakistanGC University, PakistanIn this brief note, we show that the unsteady flow of a generalized second grade fluid due to a constant couple, as well as the similar flow of Newtonian and ordinary second grade fluids, ultimately becomes steady. For this, a new form of the exact solution for velocity is established. This solution is presented as a sum of the steady and transient components. The required time to reach the steady-state is obtained by graphical illustrations.http://www.journals.vu.lt/nonlinear-analysis/article/view/14351constant couplesteady solutiontransient solution
spellingShingle C. Fetecau
A. U. Awan
M. Athar
A note on “Taylor–Couette flow of a generalized second grade fluid due to a constant couple”
Nonlinear Analysis
constant couple
steady solution
transient solution
title A note on “Taylor–Couette flow of a generalized second grade fluid due to a constant couple”
title_full A note on “Taylor–Couette flow of a generalized second grade fluid due to a constant couple”
title_fullStr A note on “Taylor–Couette flow of a generalized second grade fluid due to a constant couple”
title_full_unstemmed A note on “Taylor–Couette flow of a generalized second grade fluid due to a constant couple”
title_short A note on “Taylor–Couette flow of a generalized second grade fluid due to a constant couple”
title_sort note on taylor couette flow of a generalized second grade fluid due to a constant couple
topic constant couple
steady solution
transient solution
url http://www.journals.vu.lt/nonlinear-analysis/article/view/14351
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AT cfetecau noteontaylorcouetteflowofageneralizedsecondgradefluidduetoaconstantcouple
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