The impacts of varying magnetic field and free convection heat transfer on an Eyring–Powell fluid flow with peristalsis: VIM solution

A mathematical model of a non-Newtonian fluid (Eyring–Powell fluid) flow with peristalsis under the effect of varying magnetic field and free convection heat transfer has been discussed. Most of the previous attempts of peristaltic flow problems for a non-Newtonian fluid have been solved by using th...

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Main Authors: Y. A. S. El-Masry, Y. Abd Elmaboud, M. A. Abdel-Sattar
Format: Article
Language:English
Published: Taylor & Francis Group 2020-01-01
Series:Journal of Taibah University for Science
Subjects:
mhd
Online Access:http://dx.doi.org/10.1080/16583655.2019.1698277
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spelling doaj-2d501b76769f4a36a028e4acba715aa62021-01-26T12:13:34ZengTaylor & Francis GroupJournal of Taibah University for Science1658-36552020-01-01141193010.1080/16583655.2019.16982771698277The impacts of varying magnetic field and free convection heat transfer on an Eyring–Powell fluid flow with peristalsis: VIM solutionY. A. S. El-Masry0Y. Abd Elmaboud1M. A. Abdel-Sattar2Department of Mathematics, Faculty of Science, King Khalid UniversityDepartment of Mathematics, College of Science and Arts at Khulis, University of JeddahDepartment of Mathematics, Faculty of Science and Arts, King Khalid UniversityA mathematical model of a non-Newtonian fluid (Eyring–Powell fluid) flow with peristalsis under the effect of varying magnetic field and free convection heat transfer has been discussed. Most of the previous attempts of peristaltic flow problems for a non-Newtonian fluid have been solved by using the perturbation technique for a small non-Newtonian parameter, which gives some limits for the results. To avoid such restriction, the variational iteration method (VIM) is applied to solve the current model. A code is established by using the symbolic software MATHEMATICA to get the successive solutions. Semi-analytical solutions are found by VIM for the velocity, heat transfer, pressure gradient and stream function, which include Eyring–Powell fluid parameters. Moreover, a comparison between VIM and numerical solutions is discussed. The obtained results show that the variation of the heat transfer for the Newtonian fluid is large compared with the Eyring–Powell fluid. In addition, it is noteworthy that the peristaltic transport overcomes on Lorentz force nearby the peristaltic walls.http://dx.doi.org/10.1080/16583655.2019.1698277mhdbiofluidsvariational iteration techniqueheat transfer
collection DOAJ
language English
format Article
sources DOAJ
author Y. A. S. El-Masry
Y. Abd Elmaboud
M. A. Abdel-Sattar
spellingShingle Y. A. S. El-Masry
Y. Abd Elmaboud
M. A. Abdel-Sattar
The impacts of varying magnetic field and free convection heat transfer on an Eyring–Powell fluid flow with peristalsis: VIM solution
Journal of Taibah University for Science
mhd
biofluids
variational iteration technique
heat transfer
author_facet Y. A. S. El-Masry
Y. Abd Elmaboud
M. A. Abdel-Sattar
author_sort Y. A. S. El-Masry
title The impacts of varying magnetic field and free convection heat transfer on an Eyring–Powell fluid flow with peristalsis: VIM solution
title_short The impacts of varying magnetic field and free convection heat transfer on an Eyring–Powell fluid flow with peristalsis: VIM solution
title_full The impacts of varying magnetic field and free convection heat transfer on an Eyring–Powell fluid flow with peristalsis: VIM solution
title_fullStr The impacts of varying magnetic field and free convection heat transfer on an Eyring–Powell fluid flow with peristalsis: VIM solution
title_full_unstemmed The impacts of varying magnetic field and free convection heat transfer on an Eyring–Powell fluid flow with peristalsis: VIM solution
title_sort impacts of varying magnetic field and free convection heat transfer on an eyring–powell fluid flow with peristalsis: vim solution
publisher Taylor & Francis Group
series Journal of Taibah University for Science
issn 1658-3655
publishDate 2020-01-01
description A mathematical model of a non-Newtonian fluid (Eyring–Powell fluid) flow with peristalsis under the effect of varying magnetic field and free convection heat transfer has been discussed. Most of the previous attempts of peristaltic flow problems for a non-Newtonian fluid have been solved by using the perturbation technique for a small non-Newtonian parameter, which gives some limits for the results. To avoid such restriction, the variational iteration method (VIM) is applied to solve the current model. A code is established by using the symbolic software MATHEMATICA to get the successive solutions. Semi-analytical solutions are found by VIM for the velocity, heat transfer, pressure gradient and stream function, which include Eyring–Powell fluid parameters. Moreover, a comparison between VIM and numerical solutions is discussed. The obtained results show that the variation of the heat transfer for the Newtonian fluid is large compared with the Eyring–Powell fluid. In addition, it is noteworthy that the peristaltic transport overcomes on Lorentz force nearby the peristaltic walls.
topic mhd
biofluids
variational iteration technique
heat transfer
url http://dx.doi.org/10.1080/16583655.2019.1698277
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