Effects of Induced Magnetic Field on the Peristaltic Flow of Johnson-Segalman Fluid in a Vertical Symmetric Channel

Sohail Nadeem; Noreen Sher Akbar

doi:10.3879/j.issn.1000-0887.2010.08.005

Volume 31 Issue 8

Turn off MathJax

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2010 > 31(8): 924-933

Sohail Nadeem, Noreen Sher Akbar. Effects of Induced Magnetic Field on the Peristaltic Flow of Johnson-Segalman Fluid in a Vertical Symmetric Channel[J]. Applied Mathematics and Mechanics, 2010, 31(8): 924-933. doi: 10.3879/j.issn.1000-0887.2010.08.005

Citation:

PDF( 3515 KB)

Effects of Induced Magnetic Field on the Peristaltic Flow of Johnson-Segalman Fluid in a Vertical Symmetric Channel

doi: 10.3879/j.issn.1000-0887.2010.08.005

Department of Mathematics, Quaid-i-Azam University 45320, Islamabad 44000, Pakistan

Received Date: 1900-01-01
Rev Recd Date: 2010-01-26
Publish Date: 2010-08-15

Abstract

Abstract

The influence of heat transfer and induced magnetic field on peristaltic flow of a Johnson-Segalman fluid was studied. The purpose of the present investigation was to study the effects of induced magnetic field on the peristaltic flow of non-Newtonian fluid. The two-dimensional equations of Johnson-Segamlan fluid were smiplified by assuming a long wave length and low Reynolds number. The obtained equations were solved for the stream function, magnetic force function, and axial pressure gradient by using a regular perturbation method. The expressions for the pressure rise, temperature, induced magnetic field, pressure gradient, and stream function were sketched for variousem bedded param eters and were interpreted.
- induced magnetic field,
- vertical symmetric channel,
- Johnson-Segamlan fluid,
- magne to hydro dynamics (MHD)

FullText(HTML)

References(17)

References

[1]	Latham T W. Fluid motion in a peristaltic pump[D]. MS Thesis. Cambridge: Massachusetts Institute of Technology, 1966.
[2]	Nadeem S, Akbar N S. Influence of heat transfer on a peristaltic flow of Johnson-Segalman fluid in a non-uniform tube[J].Int Commun Heat Mass Transfer, 2009, 36(10): 1050-1059. doi: 10.1016/j.icheatmasstransfer.2009.07.012
[3]	Nadeem S, Akbar N S. Effects of heat transfer on the peristaltic transport of MHD Newtonian fluid with variable viscosity: application of Adomian decomposition method[J].Commun Nonlinear Sci Numer Simul, 2009, 14(11): 3844-3855. doi: 10.1016/j.cnsns.2008.09.010
[4]	Nadeem S, Akbar N S. Influence of heat transfer on a peristaltic transport of Herschel Bulkley fluid in a non-uniform inclined tube[J].Commun Nonlinear Sci Numer Simul, 2009, 14(12): 4100-4113. doi: 10.1016/j.cnsns.2009.02.032
[5]	Nadeem S, Akbar N S, Hayat T, Malik M Y. On the influence of heat transfer in peristalsis with variable viscosity[J].Int J Heat Mass Transfer, 2009, 52(21/22): 4722-4730. doi: 10.1016/j.ijheatmasstransfer.2009.04.037
[6]	Nadeem S, Akbar N S. Influence of radially varying MHD on the peristaltic flow in an annulus with heat and mass transfer[J].Journal of the Taiwan Institute of Chemical Engineers. doi: 10.1016/j.jtice.2009.11.004.
[7]	Srinivas S, Kothandapania M. The influence of heat and mass transfer on MHD peristaltic flow through a porous space with compliant walls[J].Appl Math Comp, 2009, 213(1): 197-208. doi: 10.1016/j.amc.2009.02.054
[8]	Mekheimer Kh S, Abd Elmaboud Y. The influence of heat transfer and magnetic field on peristaltic transport of a Newtonian fluid in a vertical annulus: application of an endoscope[J].Phys Lett A, 2008, 372(10): 1657-1665. doi: 10.1016/j.physleta.2007.10.028
[9]	Ebaid A. A new numerical solution for the MHD peristaltic flow of a biofluid with variable viscosity in circular cylinderical tube via Adomian decomposition method[J].Phys A, 2008, 372(32): 5321-5328.
[10]	Mekheimer Kh S. Effect of the induced magnetic field on peristaltic flow of a couple stress fluid[J].Phys Lett A, 2008, 372(23): 4271-4278. doi: 10.1016/j.physleta.2008.03.059
[11]	Srivastava L M, Agrawal R P. Oscillating flow of a conducting fluid with suspension of spherical particles[J].J Appl Mech, 1980, 47(1): 196-199. doi: 10.1115/1.3153605
[12]	Vajravelu K, Radhakrishnamacharya G, Radhakrishnamurty V. Peristaltic flow and heat transfer in a vertical porous annulus with long wave approximation[J].Int J Non Linear Mech, 2007, 42(5):754-759. doi: 10.1016/j.ijnonlinmec.2007.02.014
[13]	Vajravelu K, Sreenadh S, Ramesh Babu V. Peristaltic pumping of a Herschel-Bulkley fluid in a channel[J].Appl Math Comput, 2005,169(1): 726-735. doi: 10.1016/j.amc.2004.09.063
[14]	Vajravelu K, Sreenadh S, Ramesh Babu V. Peristaltic transport of a Herschel-Bulkley fluid in an inclined tube[J].Int J Non-Linear Mech, 2005, 40（1）:83-90. doi: 10.1016/j.ijnonlinmec.2004.07.001
[15]	Elshehawey E F, Eladabe N T, Elghazy E M, Ebaid A. Peristaltic transport in an asymmetric channel through a porous medium[J].Appl Math Comput, 2006, 182(1):140-150. doi: 10.1016/j.amc.2006.03.040
[16]	Ealshahed M, Haroun M H. Peristaltic transport of Johnson-Segalman fluid under effect of a magnetic field[J].Math Probl Eng, 2005, 6(8): 663-677.
[17]	Haroun M H. Non-linear peristaltic flow of a fourth grade fluid in an inclined asymmetric channel[J].Computational Material Science, 2007, 39(2): 324-333. doi: 10.1016/j.commatsci.2006.06.012