Slip Effects on Peristaltic Transport in an Inclined Channel with Mass Transfer and Chemical Reaction

An analysis is carried out for the peristaltic flow in an inclined asymmetric channel when no-slip condition does not hold. The whole analysis has been carried out in the presence of mass transfer and chemical reaction. The channel asymmetry is generated because of peristaltic wave train on the wall...

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Main Authors: T. Hayat, Humaira Yasmin, S. Asghar, Awatif A. Hendi
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Applied Bionics and Biomechanics
Online Access:http://dx.doi.org/10.3233/ABB-2012-0068
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author T. Hayat
Humaira Yasmin
S. Asghar
Awatif A. Hendi
author_facet T. Hayat
Humaira Yasmin
S. Asghar
Awatif A. Hendi
author_sort T. Hayat
collection DOAJ
description An analysis is carried out for the peristaltic flow in an inclined asymmetric channel when no-slip condition does not hold. The whole analysis has been carried out in the presence of mass transfer and chemical reaction. The channel asymmetry is generated because of peristaltic wave train on the walls through different amplitudes and phases. Long wavelength and low Reynolds number assumption is adopted in the whole mathematical analysis. Expressions for the stream function and longitudinal pressure gradient have been developed. Numerical integration is performed for the analysis of pressure rise per wavelength. Longitudinal velocity, pumping and trapping phenomena are analyzed in detail via plots.
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institution Kabale University
issn 1176-2322
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language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Applied Bionics and Biomechanics
spelling doaj-art-681272ce7bcb4b198d06fd6f1688deaf2025-02-03T01:04:04ZengWileyApplied Bionics and Biomechanics1176-23221754-21032013-01-01101415810.3233/ABB-2012-0068Slip Effects on Peristaltic Transport in an Inclined Channel with Mass Transfer and Chemical ReactionT. Hayat0Humaira Yasmin1S. Asghar2Awatif A. Hendi3Department of Mathematics, Quaid-I-Azam University, Islamabad, PakistanDepartment of Mathematics, Quaid-I-Azam University, Islamabad, PakistanDepartment of Mathematics, CIIT, Park Road Chak Shahzad, Islamabad, PakistanDepartment of Physics, Faculty of Science, King Saud University, Riyadh, Saudi ArabiaAn analysis is carried out for the peristaltic flow in an inclined asymmetric channel when no-slip condition does not hold. The whole analysis has been carried out in the presence of mass transfer and chemical reaction. The channel asymmetry is generated because of peristaltic wave train on the walls through different amplitudes and phases. Long wavelength and low Reynolds number assumption is adopted in the whole mathematical analysis. Expressions for the stream function and longitudinal pressure gradient have been developed. Numerical integration is performed for the analysis of pressure rise per wavelength. Longitudinal velocity, pumping and trapping phenomena are analyzed in detail via plots.http://dx.doi.org/10.3233/ABB-2012-0068
spellingShingle T. Hayat
Humaira Yasmin
S. Asghar
Awatif A. Hendi
Slip Effects on Peristaltic Transport in an Inclined Channel with Mass Transfer and Chemical Reaction
Applied Bionics and Biomechanics
title Slip Effects on Peristaltic Transport in an Inclined Channel with Mass Transfer and Chemical Reaction
title_full Slip Effects on Peristaltic Transport in an Inclined Channel with Mass Transfer and Chemical Reaction
title_fullStr Slip Effects on Peristaltic Transport in an Inclined Channel with Mass Transfer and Chemical Reaction
title_full_unstemmed Slip Effects on Peristaltic Transport in an Inclined Channel with Mass Transfer and Chemical Reaction
title_short Slip Effects on Peristaltic Transport in an Inclined Channel with Mass Transfer and Chemical Reaction
title_sort slip effects on peristaltic transport in an inclined channel with mass transfer and chemical reaction
url http://dx.doi.org/10.3233/ABB-2012-0068
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AT humairayasmin slipeffectsonperistaltictransportinaninclinedchannelwithmasstransferandchemicalreaction
AT sasghar slipeffectsonperistaltictransportinaninclinedchannelwithmasstransferandchemicalreaction
AT awatifahendi slipeffectsonperistaltictransportinaninclinedchannelwithmasstransferandchemicalreaction