Nonlinear peristaltic motion of a Johnson–Segalman fluid in a tapered asymmetric channel
The peristaltic flow analysis in a tapered asymmetric channel has been made for a Johnson–Segalman fluid. The tapered asymmetric channel is assumed to be formed due to a peristaltic wave train on the non-uniform walls having different amplitudes and phase. Two-dimensional equations of a Johnson–Sega...
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doaj-1f6ea3304a9345288c918c0e8be6d68b2021-06-02T06:31:24ZengElsevierAlexandria Engineering Journal1110-01682016-06-015521607161810.1016/j.aej.2016.02.002Nonlinear peristaltic motion of a Johnson–Segalman fluid in a tapered asymmetric channelM. Kothandapani0J. Prakash1V. Pushparaj2Department of Mathematics, University College of Engineering Arni (A Constituent College of Anna University, Chennai), Arni 632 326, Tamil Nadu, IndiaDepartment of Mathematics, Arulmigu Meenakshi Amman College of Engineering, Vadamavandal 604 410, Tamil Nadu, IndiaDepartment of Mathematics, C. Abdul Hakeem College of Engineering & Technology, Melvisharam 632 509, Tamil Nadu, IndiaThe peristaltic flow analysis in a tapered asymmetric channel has been made for a Johnson–Segalman fluid. The tapered asymmetric channel is assumed to be formed due to a peristaltic wave train on the non-uniform walls having different amplitudes and phase. Two-dimensional equations of a Johnson–Segalman fluid have been simplified by treating a long wavelength and low Reynolds number approximations. The reduced equations are then solved for the stream function, axial velocity and axial pressure gradient using a regular perturbation technique. The expressions for the pressure rise, axial velocity and stream function are sketched and the reasons for the variations observed in various physical parameters are interpreted with valid theory. It has been noticed that peristaltic pumping region and free pumping decrease with an increase in non-uniform parameter and the situation is quite complimentary to the case of augmented pumping. It has also been observed that the size of the tapped bolus decreases with an increase in Weissenberg number.http://www.sciencedirect.com/science/article/pii/S1110016816000429Johnson–Segalman fluidPeristaltic transportTapered asymmetric channelPerturbation technique |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
M. Kothandapani J. Prakash V. Pushparaj |
spellingShingle |
M. Kothandapani J. Prakash V. Pushparaj Nonlinear peristaltic motion of a Johnson–Segalman fluid in a tapered asymmetric channel Alexandria Engineering Journal Johnson–Segalman fluid Peristaltic transport Tapered asymmetric channel Perturbation technique |
author_facet |
M. Kothandapani J. Prakash V. Pushparaj |
author_sort |
M. Kothandapani |
title |
Nonlinear peristaltic motion of a Johnson–Segalman fluid in a tapered asymmetric channel |
title_short |
Nonlinear peristaltic motion of a Johnson–Segalman fluid in a tapered asymmetric channel |
title_full |
Nonlinear peristaltic motion of a Johnson–Segalman fluid in a tapered asymmetric channel |
title_fullStr |
Nonlinear peristaltic motion of a Johnson–Segalman fluid in a tapered asymmetric channel |
title_full_unstemmed |
Nonlinear peristaltic motion of a Johnson–Segalman fluid in a tapered asymmetric channel |
title_sort |
nonlinear peristaltic motion of a johnson–segalman fluid in a tapered asymmetric channel |
publisher |
Elsevier |
series |
Alexandria Engineering Journal |
issn |
1110-0168 |
publishDate |
2016-06-01 |
description |
The peristaltic flow analysis in a tapered asymmetric channel has been made for a Johnson–Segalman fluid. The tapered asymmetric channel is assumed to be formed due to a peristaltic wave train on the non-uniform walls having different amplitudes and phase. Two-dimensional equations of a Johnson–Segalman fluid have been simplified by treating a long wavelength and low Reynolds number approximations. The reduced equations are then solved for the stream function, axial velocity and axial pressure gradient using a regular perturbation technique. The expressions for the pressure rise, axial velocity and stream function are sketched and the reasons for the variations observed in various physical parameters are interpreted with valid theory. It has been noticed that peristaltic pumping region and free pumping decrease with an increase in non-uniform parameter and the situation is quite complimentary to the case of augmented pumping. It has also been observed that the size of the tapped bolus decreases with an increase in Weissenberg number. |
topic |
Johnson–Segalman fluid Peristaltic transport Tapered asymmetric channel Perturbation technique |
url |
http://www.sciencedirect.com/science/article/pii/S1110016816000429 |
work_keys_str_mv |
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