Peristaltic Flow and Heat Transfer of a Conducting Phan-Thien-Tanner Fluid in an Asymmetric Channel – Application to Chyme Movement in Small Intestine
In this paper, the influence of heat transfer on the peristaltic flow of a conducting Phan-Thien-Tanner fluid in an asymmetric channel with porous medium is studied. The coupled nonlinear governing differential equations are solved by a perturbation technique. The expressions for the temperature fie...
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2016-08-01
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| Series: | International Journal of Applied Mechanics and Engineering |
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| Online Access: | https://doi.org/10.1515/ijame-2016-0042 |
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doaj-f2754ad20c5d43ff9ecb272eec1e42042021-09-05T20:51:06ZengSciendoInternational Journal of Applied Mechanics and Engineering1734-44922353-90032016-08-0121371373610.1515/ijame-2016-0042Peristaltic Flow and Heat Transfer of a Conducting Phan-Thien-Tanner Fluid in an Asymmetric Channel – Application to Chyme Movement in Small IntestineVajravelu K.0Sreenadh S.1Dhananjaya S.2Lakshminarayana P.3Department of Mathematics, Department of Mechanical, Materials and Aerospace Engineering, University of Central Florida, Orlando, Florida 32816-1364, United States of AmericaDepartment of Mathematics, Sri Venkateswara University, Tirupati 517 502, IndiaDepartment of Mathematics, Sri Venkateswara University, Tirupati 517 502, IndiaDepartment of Mathematics, SreeVidyanikethan Engineering College, Tirupati 517 102, IndiaIn this paper, the influence of heat transfer on the peristaltic flow of a conducting Phan-Thien-Tanner fluid in an asymmetric channel with porous medium is studied. The coupled nonlinear governing differential equations are solved by a perturbation technique. The expressions for the temperature field, the stream function, the axial velocity, and the pressure gradient are obtained. The effects of the various physical parameters such as the magnetic parameter M, the permeability parameter σ, the Brinkman number Br and the Weissenberg number We on the pumping phenomenon are analyzed through graphs and the results are discussed in detail. It is observed that the velocity and the pressure are decreased with increasing the magnetic parameter M whereas the effect of the parameter M on the temperature field is quite the opposite.https://doi.org/10.1515/ijame-2016-0042peristaltic flowphan-thien-tanner fluidasymmetric channelporous mediumtrapping phenomena76a0592b05 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Vajravelu K. Sreenadh S. Dhananjaya S. Lakshminarayana P. |
| spellingShingle |
Vajravelu K. Sreenadh S. Dhananjaya S. Lakshminarayana P. Peristaltic Flow and Heat Transfer of a Conducting Phan-Thien-Tanner Fluid in an Asymmetric Channel – Application to Chyme Movement in Small Intestine International Journal of Applied Mechanics and Engineering peristaltic flow phan-thien-tanner fluid asymmetric channel porous medium trapping phenomena 76a05 92b05 |
| author_facet |
Vajravelu K. Sreenadh S. Dhananjaya S. Lakshminarayana P. |
| author_sort |
Vajravelu K. |
| title |
Peristaltic Flow and Heat Transfer of a Conducting Phan-Thien-Tanner Fluid in an Asymmetric Channel – Application to Chyme Movement in Small Intestine |
| title_short |
Peristaltic Flow and Heat Transfer of a Conducting Phan-Thien-Tanner Fluid in an Asymmetric Channel – Application to Chyme Movement in Small Intestine |
| title_full |
Peristaltic Flow and Heat Transfer of a Conducting Phan-Thien-Tanner Fluid in an Asymmetric Channel – Application to Chyme Movement in Small Intestine |
| title_fullStr |
Peristaltic Flow and Heat Transfer of a Conducting Phan-Thien-Tanner Fluid in an Asymmetric Channel – Application to Chyme Movement in Small Intestine |
| title_full_unstemmed |
Peristaltic Flow and Heat Transfer of a Conducting Phan-Thien-Tanner Fluid in an Asymmetric Channel – Application to Chyme Movement in Small Intestine |
| title_sort |
peristaltic flow and heat transfer of a conducting phan-thien-tanner fluid in an asymmetric channel – application to chyme movement in small intestine |
| publisher |
Sciendo |
| series |
International Journal of Applied Mechanics and Engineering |
| issn |
1734-4492 2353-9003 |
| publishDate |
2016-08-01 |
| description |
In this paper, the influence of heat transfer on the peristaltic flow of a conducting Phan-Thien-Tanner fluid in an asymmetric channel with porous medium is studied. The coupled nonlinear governing differential equations are solved by a perturbation technique. The expressions for the temperature field, the stream function, the axial velocity, and the pressure gradient are obtained. The effects of the various physical parameters such as the magnetic parameter M, the permeability parameter σ, the Brinkman number Br and the Weissenberg number We on the pumping phenomenon are analyzed through graphs and the results are discussed in detail. It is observed that the velocity and the pressure are decreased with increasing the magnetic parameter M whereas the effect of the parameter M on the temperature field is quite the opposite. |
| topic |
peristaltic flow phan-thien-tanner fluid asymmetric channel porous medium trapping phenomena 76a05 92b05 |
| url |
https://doi.org/10.1515/ijame-2016-0042 |
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