Effect of magnetic field on peristaltic flow of a fourth grade fluid in a tapered asymmetric channel
The problem of peristaltic transport of an incompressible non-Newtonian fluid in a tapered asymmetric channel is debated under long-wavelength and low-Reynolds number assumptions. The fluid is considered to be fourth order and electrically conducting by a transverse magnetic field. The tapered asymm...
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doaj-ee1ba0be3f014f76a30b3de8ec9c37e42020-11-25T00:17:40ZengElsevierJournal of King Saud University: Engineering Sciences1018-36392018-01-01301869510.1016/j.jksues.2015.12.009Effect of magnetic field on peristaltic flow of a fourth grade fluid in a tapered asymmetric channelM. Kothandapani0V. Pushparaj1J. Prakash2Department of Mathematics, University College of Engineering Arni (A Constituent College of Anna University Chennai), Arni 632 326, Tamil Nadu, IndiaDepartment of Mathematics, C. Abdul Hakeem College of Engineering and Technology, Melvisharam 632 509, Tamil Nadu, IndiaDepartment of Mathematics, Arulmigu Meenakshi Amman College of Engineering, Vadamavandal 604 410, Tamil Nadu, IndiaThe problem of peristaltic transport of an incompressible non-Newtonian fluid in a tapered asymmetric channel is debated under long-wavelength and low-Reynolds number assumptions. The fluid is considered to be fourth order and electrically conducting by a transverse magnetic field. The tapered asymmetry in the flow is induced by taking peristaltic wave imposed on the non uniform boundary walls to possess different amplitudes and phase. Series solutions for stream function, axial velocity and pressure gradient are given using regular perturbation technique, when Deborah number is small. Numerical computations have been performed for the pressure rise per wavelength. Influences of different physical parameters entering into the problem have also been discussed in detail.http://www.sciencedirect.com/science/article/pii/S1018363916000039PeristalsisFourth-grade fluidTapered asymmetric channelHartmann number |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
M. Kothandapani V. Pushparaj J. Prakash |
spellingShingle |
M. Kothandapani V. Pushparaj J. Prakash Effect of magnetic field on peristaltic flow of a fourth grade fluid in a tapered asymmetric channel Journal of King Saud University: Engineering Sciences Peristalsis Fourth-grade fluid Tapered asymmetric channel Hartmann number |
author_facet |
M. Kothandapani V. Pushparaj J. Prakash |
author_sort |
M. Kothandapani |
title |
Effect of magnetic field on peristaltic flow of a fourth grade fluid in a tapered asymmetric channel |
title_short |
Effect of magnetic field on peristaltic flow of a fourth grade fluid in a tapered asymmetric channel |
title_full |
Effect of magnetic field on peristaltic flow of a fourth grade fluid in a tapered asymmetric channel |
title_fullStr |
Effect of magnetic field on peristaltic flow of a fourth grade fluid in a tapered asymmetric channel |
title_full_unstemmed |
Effect of magnetic field on peristaltic flow of a fourth grade fluid in a tapered asymmetric channel |
title_sort |
effect of magnetic field on peristaltic flow of a fourth grade fluid in a tapered asymmetric channel |
publisher |
Elsevier |
series |
Journal of King Saud University: Engineering Sciences |
issn |
1018-3639 |
publishDate |
2018-01-01 |
description |
The problem of peristaltic transport of an incompressible non-Newtonian fluid in a tapered asymmetric channel is debated under long-wavelength and low-Reynolds number assumptions. The fluid is considered to be fourth order and electrically conducting by a transverse magnetic field. The tapered asymmetry in the flow is induced by taking peristaltic wave imposed on the non uniform boundary walls to possess different amplitudes and phase. Series solutions for stream function, axial velocity and pressure gradient are given using regular perturbation technique, when Deborah number is small. Numerical computations have been performed for the pressure rise per wavelength. Influences of different physical parameters entering into the problem have also been discussed in detail. |
topic |
Peristalsis Fourth-grade fluid Tapered asymmetric channel Hartmann number |
url |
http://www.sciencedirect.com/science/article/pii/S1018363916000039 |
work_keys_str_mv |
AT mkothandapani effectofmagneticfieldonperistalticflowofafourthgradefluidinataperedasymmetricchannel AT vpushparaj effectofmagneticfieldonperistalticflowofafourthgradefluidinataperedasymmetricchannel AT jprakash effectofmagneticfieldonperistalticflowofafourthgradefluidinataperedasymmetricchannel |
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1725378442208215040 |