Numerical investigation of the flow of a micropolar fluid through a porous channel with expanding or contracting walls

In this paper, we study the flow of a micropolar fluid in a porous channel with expanding or contracting walls. First, we use spectral collocation method on the governing equations to obtain an initial approximation for the solution of equations. Then using the obtained initial approximation, we app...

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Main Authors: M.T. Darvishi, F. Khani, F.G. Awad, A.A. Khidir, P. Sibanda
Format: Article
Language:English
Published: KeAi Communications Co., Ltd. 2014-09-01
Series:Propulsion and Power Research
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2212540X14000546
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author M.T. Darvishi
F. Khani
F.G. Awad
A.A. Khidir
P. Sibanda
author_facet M.T. Darvishi
F. Khani
F.G. Awad
A.A. Khidir
P. Sibanda
author_sort M.T. Darvishi
collection DOAJ
description In this paper, we study the flow of a micropolar fluid in a porous channel with expanding or contracting walls. First, we use spectral collocation method on the governing equations to obtain an initial approximation for the solution of equations. Then using the obtained initial approximation, we apply the homotopy analysis method to obtain a recursive formula for the solution.
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spelling doaj.art-76d4e43f37dc4c568304fc06186698602023-09-02T08:12:32ZengKeAi Communications Co., Ltd.Propulsion and Power Research2212-540X2014-09-013313314210.1016/j.jppr.2014.07.002Numerical investigation of the flow of a micropolar fluid through a porous channel with expanding or contracting wallsM.T. Darvishi0F. Khani1F.G. Awad2A.A. Khidir3P. Sibanda4Department of Mathematics, Razi University, Kermanshah 67149, IranDepartment of Mathematics, Razi University, Kermanshah 67149, IranSchool of Mathematical Sciences, University of KwaZulu-Natal, Private Bag X01, Scottsville, Pietermaritzburg 3209, South AfricaSchool of Mathematical Sciences, University of KwaZulu-Natal, Private Bag X01, Scottsville, Pietermaritzburg 3209, South AfricaSchool of Mathematical Sciences, University of KwaZulu-Natal, Private Bag X01, Scottsville, Pietermaritzburg 3209, South AfricaIn this paper, we study the flow of a micropolar fluid in a porous channel with expanding or contracting walls. First, we use spectral collocation method on the governing equations to obtain an initial approximation for the solution of equations. Then using the obtained initial approximation, we apply the homotopy analysis method to obtain a recursive formula for the solution.http://www.sciencedirect.com/science/article/pii/S2212540X14000546Homotopy analysis methodSpectral collocation methodSeries solutionMicropolar fluid
spellingShingle M.T. Darvishi
F. Khani
F.G. Awad
A.A. Khidir
P. Sibanda
Numerical investigation of the flow of a micropolar fluid through a porous channel with expanding or contracting walls
Propulsion and Power Research
Homotopy analysis method
Spectral collocation method
Series solution
Micropolar fluid
title Numerical investigation of the flow of a micropolar fluid through a porous channel with expanding or contracting walls
title_full Numerical investigation of the flow of a micropolar fluid through a porous channel with expanding or contracting walls
title_fullStr Numerical investigation of the flow of a micropolar fluid through a porous channel with expanding or contracting walls
title_full_unstemmed Numerical investigation of the flow of a micropolar fluid through a porous channel with expanding or contracting walls
title_short Numerical investigation of the flow of a micropolar fluid through a porous channel with expanding or contracting walls
title_sort numerical investigation of the flow of a micropolar fluid through a porous channel with expanding or contracting walls
topic Homotopy analysis method
Spectral collocation method
Series solution
Micropolar fluid
url http://www.sciencedirect.com/science/article/pii/S2212540X14000546
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