Fundamental flow problems considering non-Newtonian hyperbolic tangent fluid with Navier slip: Homotopy analysis method

Fundamental flow problems considering non-Newtonian hyperbolic tangent fluid with Navier slip: Homotopy analysis method

The presented research article deals with the classical fundamental flows (Poiseuille and Couette) of an incompressible hyperbolic tangent fluid while considering the Navier slip at the walls. The governing equations are solved using the homotopy analysis method. The velocity expressions are obtaine...

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Main Author: Tlau L.
Format: Article
Language:English
Published: University of West Bohemia 2020-12-01
Series:Applied and Computational Mechanics
Subjects:
hyperbolic tangent fluid
couette flow
poiseuille flow
navier slip
Online Access:https://www.kme.zcu.cz/acm/acm/article/view/628/527
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spelling doaj-5fdd16af09014962a6601646b853c64a2021-09-02T15:30:38ZengUniversity of West BohemiaApplied and Computational Mechanics1802-680X2336-11822020-12-0114217918810.24132/acm.2020.628Fundamental flow problems considering non-Newtonian hyperbolic tangent fluid with Navier slip: Homotopy analysis methodTlau L.0National Institute of Technology Mizoram, Department of Mathematics, Aizawl, IndiaThe presented research article deals with the classical fundamental flows (Poiseuille and Couette) of an incompressible hyperbolic tangent fluid while considering the Navier slip at the walls. The governing equations are solved using the homotopy analysis method. The velocity expressions are obtained for each problem and the effect of the flow parameters are discussed while being supplemented by graphical displays. Increasing the slip parameter reduces the fluid velocity for both problems, respectively. An increase in the Weissenberg number shows that skin friction at the lower wall reduces. This shows that a dominant elastic force is crucial in reducing the skin friction.https://www.kme.zcu.cz/acm/acm/article/view/628/527hyperbolic tangent fluidcouette flowpoiseuille flownavier slip
collection DOAJ
language English
format Article
sources DOAJ
author Tlau L.
spellingShingle Tlau L.
Fundamental flow problems considering non-Newtonian hyperbolic tangent fluid with Navier slip: Homotopy analysis method
Applied and Computational Mechanics
hyperbolic tangent fluid
couette flow
poiseuille flow
navier slip
author_facet Tlau L.
author_sort Tlau L.
title Fundamental flow problems considering non-Newtonian hyperbolic tangent fluid with Navier slip: Homotopy analysis method
title_short Fundamental flow problems considering non-Newtonian hyperbolic tangent fluid with Navier slip: Homotopy analysis method
title_full Fundamental flow problems considering non-Newtonian hyperbolic tangent fluid with Navier slip: Homotopy analysis method
title_fullStr Fundamental flow problems considering non-Newtonian hyperbolic tangent fluid with Navier slip: Homotopy analysis method
title_full_unstemmed Fundamental flow problems considering non-Newtonian hyperbolic tangent fluid with Navier slip: Homotopy analysis method
title_sort fundamental flow problems considering non-newtonian hyperbolic tangent fluid with navier slip: homotopy analysis method
publisher University of West Bohemia
series Applied and Computational Mechanics
issn 1802-680X
2336-1182
publishDate 2020-12-01
description The presented research article deals with the classical fundamental flows (Poiseuille and Couette) of an incompressible hyperbolic tangent fluid while considering the Navier slip at the walls. The governing equations are solved using the homotopy analysis method. The velocity expressions are obtained for each problem and the effect of the flow parameters are discussed while being supplemented by graphical displays. Increasing the slip parameter reduces the fluid velocity for both problems, respectively. An increase in the Weissenberg number shows that skin friction at the lower wall reduces. This shows that a dominant elastic force is crucial in reducing the skin friction.
topic hyperbolic tangent fluid
couette flow
poiseuille flow
navier slip
url https://www.kme.zcu.cz/acm/acm/article/view/628/527
work_keys_str_mv AT tlaul fundamentalflowproblemsconsideringnonnewtonianhyperbolictangentfluidwithnaviersliphomotopyanalysismethod
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