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Chin. Phys. B, 2014, Vol. 23(5): 054702    DOI: 10.1088/1674-1056/23/5/054702
ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS Prev   Next  

Existence of a Hartmann layer in the peristalsis of Sisko fluid

Saleem Asghara b, Tayyaba Minhasa, Aamir Alia c
a Department of Mathematics, COMSATS Institute of Information Technology, Islamabad 44000, Pakistan;
b Department of Mathematics, King Abdul Aziz University, Jeddah 21432, Saudi Arabia;
c CNRS UMR 7351, Laboratoire Jean Alexandre Dieudonne, Universite de Nice Sophia Antipolis, Parc Valrose, Nice 06108, France
Abstract  Analytical solutions for the peristaltic flow of a magneto hydrodynamic (MHD) Sisko fluid in a channel, under the effects of strong and weak magnetic fields, are presented. The governing nonlinear problem, for the strong magnetic field, is solved using the matched asymptotic expansion. The solution for the weak magnetic field is obtained using a regular perturbation method. The main observation is the existence of a Hartman boundary layer for the strong magnetic field at the location of the two plates of the channel. The thickness of the Hartmann boundary layer is determined analytically. The effects of a strong magnetic field and the shear thinning parameter of the Sisko fluid on the velocity profile are presented graphically.
Keywords:  magneto hydrodynamic Sisko fluid      asymmetric channel      Peristaltic flow      non-Newtonian fluid  
Received:  07 June 2013      Revised:  26 September 2013      Accepted manuscript online: 
PACS:  47.40.Rs (Detonation waves)  
  47.40.-x (Compressible flows; shock waves)  
  47.35.Tv (Magnetohydrodynamic waves)  
  47.65.-d (Magnetohydrodynamics and electrohydrodynamics)  
Corresponding Authors:  Aamir Ali     E-mail:  aamir.ali@unice.fr
About author:  47.40.Rs; 47.40.-x; 47.35.Tv; 47.65.-d

Cite this article: 

Saleem Asghar, Tayyaba Minhas, Aamir Ali Existence of a Hartmann layer in the peristalsis of Sisko fluid 2014 Chin. Phys. B 23 054702

[1] Latham T W 1966 Fluid Motion in Peristaltic Pump (MS Thesis) (Cambridge: MIT)
[2] Pandey S K and Chaube M K 2010 Math. Comp. Mode. 52 501
[3] Nadeem S and Akram S 2010 Comm. Nonl. Sci. Nume. Simu. 15 1705
[4] Hayat T, Javed M and Awatif A H 2011 Int. Heat Mass Trans. 54 1615
[5] Tripathi D, Pandey S K and Das S 2010 Appl. Math. Comp. 215 3645
[6] Maiti S and Misra J C 2011 Int. J. Eng. Sci. 49 950
[7] Mekheimer Kh S and Abdelmaboud Y 2008 Phys. Lett. A 372 1657
[8] Hayat T, Saleem N and Ali N 2010 Commun. Nonli. Sci. Nume. Simu. 15 2407
[9] Pandey S K and Chaube M K 2011 Commun. Nonli. Sci. Nume. Simul. 16 3591
[10] Srinivas S and Gayathri R 2009 Appl. Math. Compu. 215 185
[11] Srinivas S, Gayathri R and Kothandapani M 2009 Comp. Phys. Commun. 180 1862
[12] Shercliff J A 1953 Proc. Camb. Philos. Sot. 49 136
[13] Smolentsev S, Morley N and Abdou M 2005 Fusion Engrg. Design 73 83
[14] Li Y and Tian Z F 2012 J. Comput. Phys. 231 5443
[15] Tezer-Sezgin M 2004 Comput. Fluids 33 533
[16] Singh B and Lal J 1982 Int. J. Numer. Meth. Engrg. 18 1104
[17] Bhattacharyya K, Hayat T and Alsaedi A 2013 Chin. Phys. B 22 024702
[18] Hayat T, Hina S and Awatif A H 2011 Chin. Phys. Lett. 28 084707
[19] Akbar N S and Nadeem S 2013 Chin. Phys. B 22 014703
[20] Wang Y, Hayat T, Ali N and Oberlack M 2008 Physica A 387 347
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