Comptes Rendus
Peristaltic transport of fourth grade fluid with heat transfer and induced magnetic field
Comptes Rendus. Mécanique, Volume 338 (2010) no. 9, pp. 518-528.

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.

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DOI : 10.1016/j.crme.2010.06.004
Mots clés : Heat transfer, Induced magnetic field, Fourth grade fluid
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/

[1] Abd El Hakeem Abd El Naby; A.E.M. El Misery; M.F. Abd El Kareem Effects of magnetic field on trapping field through peristaltic motion for generalized Newtonian fluid in a channel, Physica A, Volume 367 (2006), pp. 79-92

[2] T. Hayat; A. Afsar; M. Khan; S. Asghar Peristaltic transport of a third order fluid under the effect of a magnetic field, Comput. Math. Applications, Volume 53 (2007), pp. 1074-1087

[3] T. Hayat; N. Ali Effects of an endoscope on the peristaltic flow of a micropolar fluid, Math. Comput. Modelling, Volume 48 (2008), pp. 721-733

[4] T. Hayat; M.U. Qureshi; N. Ali The influence of slip on the peristaltic motion of a third order fluid in an asymmetric channel, Phys. Lett. A, Volume 372 (2008), pp. 2653-2664

[5] S. Srinivas; M. Kothandapani The influence of heat and mass transfer on MHD peristaltic flow through a porous space with compliant walls, Appl. Math. Comput., Volume 213 (2009), pp. 197-208

[6] T. Hayat; Q. Hussain; N. Ali Influence of partial slip on the peristaltic flow in a porous medium, Phys. Lett. A, Volume 387 (2008), pp. 3399-3409

[7] M.H. Haroun Effect of Deborah number and phase difference on peristaltic transport of a third-order fluid in an asymmetric channel, Math. Comput. Modelling, Volume 12 (2007), pp. 1464-1480

[8] M.H. Haroun Non-linear peristaltic flow of a fourth grade fluid in an inclined asymmetric channel, Comput. Mater. Sci., Volume 39 (2007), p. 333

[9] M. Kothandapani; S. Srinivas Peristaltic transport of a Jeffrey fluid under the effect of magnetic field in an asymmetric channel, Int. J. Non-Linear Mech., Volume 43 (2008), pp. 915-924

[10] D. Tripathi; S.K. Pandey; S. Das Peristaltic flow of viscoelastic fluid with fractional Maxwell model through a channel, Appl. Math. Comput., Volume 215 (2010), pp. 3645-3654

[11] S. Srinivas; M. Kothandapani The influence of heat and mass transfer on MHD peristaltic flow through a porous space with compliant walls, Appl. Math. Comput., Volume 213 (2009), pp. 197-208

[12] T. Hayat; S. Hina; N. Ali Simultaneous effects of slip and heat transfer on the peristaltic flow, Comm. Nonlinear Sci. Numer. Simul., Volume 15 (2010), pp. 1526-1537

[13] T. Hayat; Y. Wang; K. Hutter; S. Asghar; A.M. Siddiqui Peristaltic transport of an Oldroyd-B fluid in a planar channel, Mathematical Problems in Engineering, Volume 4 (2004), pp. 347-376

[14] T. Hayat; N. Ahmad; N. Ali Effects of an endoscope and magnetic field on the peristalsis involving Jeffrey fluid, Comm. Nonlinear Sci. Numer. Simul., Volume 13 (2008), pp. 1581-1591

[15] N.T.M. Eldabe; M.F. Al-Sayad; A.Y. Galy; H.M. Sayed Peristaltically induced motion of a MHD biviscosity fluid in a non-uniform tube, Physica A, Volume 383 (2007), pp. 253-266

[16] T.W. Latham Fluid Motion in a Peristaltic Pump, MIT, Cambridge MA, 1966

[17] Kh.S. Mekheimer Effect of induced magnetic field on peristaltic flow of a couple stress fluid, Phys. Lett. A, Volume 372 (2008), pp. 4271-4278

[18] Kh.S. Mekheimer, Peristaltic flow of a magneto-micropolar fluid: Effect of induced magnetic field, J. Appl. Math., . | DOI

[19] T. Hayat; Y. Khan; N. Ali; Kh.S. Mekheimer Effect of an induced magnetic field on the peristaltic flow of a third order fluid, Numer. Methods Partial Diff. Eqs., Volume 26 (2010), pp. 345-360

[20] Kh.S. Mekheimer; Y.A. Elmaboud The influence of heat transfer and magnetic field on peristaltic transport of a Newtonian fluid in a vertical annulus: Application of an endoscope, Phys. Lett. A, Volume 372 (2008), pp. 1657-1665

[21] S. Srinivas; R. Gayathri Peristaltic transport of a Newtonian fluid in a vertical asymmetric channel with heat transfer and porous medium, Appl. Math. Comput., Volume 215 (2009), pp. 185-196

[22] S. Srinivas; M. Kothandapani Peristaltic transport in an asymmetric channel with heat transfer – A note, Int. Comm. Heat Mass Transfer, Volume 35 (2008), pp. 514-522

[23] S. Nadeem; T. Hayat; N.S. Akbar; M.Y. Malik On the influence of heat transfer in peristalsis with variable viscosity, Int. J. Heat Mass Transfer, Volume 52 (2009), pp. 4722-4730

[24] T. Hayat; M.U. Qureshi; Q. Hussain Effect of heat transfer on the peristaltic flow of an electrically conducting fluid in a porous space, Appl. Math. Mod., Volume 33 (2009), pp. 1862-1873

[25] Kh.S. Mekheimer; S.Z.A. Husseny; Y. Abd Elmaboud Effects of heat transfer and space porosity on peristaltic flow in a vertical asymmetric channel, Numer. Methods Partial Diff. Eqs., Volume 26 (2010), pp. 747-770

[26] S. Nadeem; N.S. Akbar Effects of heat transfer on the peristaltic transport of MHD Newtonian fluid with variable viscosity: Application of Adomian decomposition method, Comm. Nonlinear Sci. Numer. Simul., Volume 14 (2009), pp. 3844-3855

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