Peristaltic transport of fourth grade fluid with heat transfer and induced magnetic field

Tasawar Hayat; Saima Noreen

doi:10.1016/j.crme.2010.06.004

Peristaltic transport of fourth grade fluid with heat transfer and induced magnetic field

Tasawar Hayat ^1,² ; Saima Noreen ¹

¹ Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan
² Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

Comptes Rendus. Mécanique, Volume 338 (2010) no. 9, pp. 518-528.

Abstract

We investigate the influence of an induced magnetic field on the peristaltic flow of an incompressible fourth grade fluid in a symmetric channel with heat transfer. Adopting long wavelength, low Reynolds number and small Deborah number assumptions we derive the solutions for stream function, pressure gradient, temperature, magnetic force function, induced magnetic field and current density. Qualitative agreement is demonstrated between the graphs and expected observations.

Supplementary Materials:
Supplementary material for this article is supplied as a separate file:

mmc1.pdf

Received: 2010-01-09
Accepted: 2010-06-28
Published online: 2010-08-02

DOI: 10.1016/j.crme.2010.06.004

Mots-clés : Heat transfer, Induced magnetic field, Fourth grade fluid

Author's affiliations:

Tasawar Hayat ^{1, 2}; Saima Noreen ¹

¹ Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan
² Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

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Tasawar Hayat; Saima Noreen. Peristaltic transport of fourth grade fluid with heat transfer and induced magnetic field. Comptes Rendus. Mécanique, Volume 338 (2010) no. 9, pp. 518-528. doi : 10.1016/j.crme.2010.06.004. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2010.06.004/

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