Swirling Flow in a Permeable Tube at Slowly Expanding and Contracting Wall

Swirling Flow in a Permeable Tube at Slowly Expanding and Contracting Wall

The swirling flow inside a circular elastic tube with expanding and contracting permeable wall in the presence of a uniform magnetic field is studied analytically. The tube is also assumed to be rotating around its axis with an angular velocity. The governing equations for this multidimensional flow...

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Bibliographic Details
Main Author: Sufian Munawar
Format: Article
Language:English
Published: Hindawi Limited 2017-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2017/6904161
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spelling doaj-516933db3b2a424aaaaeddf88cb3ffe62020-11-24T20:54:30ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472017-01-01201710.1155/2017/69041616904161Swirling Flow in a Permeable Tube at Slowly Expanding and Contracting WallSufian Munawar0Department of Quantitative Methods, College Business Administration, University of Dammam, Dammam 31441, Saudi ArabiaThe swirling flow inside a circular elastic tube with expanding and contracting permeable wall in the presence of a uniform magnetic field is studied analytically. The tube is also assumed to be rotating around its axis with an angular velocity. The governing equations for this multidimensional flow are reduced to nonlinear differential equations with similarity transformations. An analytic series solution is obtained by homotopy analysis method (HAM). The effects of physical parameters on various flow characteristics, such as the velocity, skin friction, and pressure variation, have been analysed briefly. The impact of surface expansion/contraction and rotation has been investigated on the internal boundary-layer flow inside the tube of uniform cross-section.http://dx.doi.org/10.1155/2017/6904161
collection DOAJ
language English
format Article
sources DOAJ
author Sufian Munawar
spellingShingle Sufian Munawar
Swirling Flow in a Permeable Tube at Slowly Expanding and Contracting Wall
Mathematical Problems in Engineering
author_facet Sufian Munawar
author_sort Sufian Munawar
title Swirling Flow in a Permeable Tube at Slowly Expanding and Contracting Wall
title_short Swirling Flow in a Permeable Tube at Slowly Expanding and Contracting Wall
title_full Swirling Flow in a Permeable Tube at Slowly Expanding and Contracting Wall
title_fullStr Swirling Flow in a Permeable Tube at Slowly Expanding and Contracting Wall
title_full_unstemmed Swirling Flow in a Permeable Tube at Slowly Expanding and Contracting Wall
title_sort swirling flow in a permeable tube at slowly expanding and contracting wall
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2017-01-01
description The swirling flow inside a circular elastic tube with expanding and contracting permeable wall in the presence of a uniform magnetic field is studied analytically. The tube is also assumed to be rotating around its axis with an angular velocity. The governing equations for this multidimensional flow are reduced to nonlinear differential equations with similarity transformations. An analytic series solution is obtained by homotopy analysis method (HAM). The effects of physical parameters on various flow characteristics, such as the velocity, skin friction, and pressure variation, have been analysed briefly. The impact of surface expansion/contraction and rotation has been investigated on the internal boundary-layer flow inside the tube of uniform cross-section.
url http://dx.doi.org/10.1155/2017/6904161
work_keys_str_mv AT sufianmunawar swirlingflowinapermeabletubeatslowlyexpandingandcontractingwall
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