Peristaltic Flow of a Magneto-Micropolar Fluid: Effect of Induced Magnetic Field

We carry out the effect of the induced magnetic field on peristaltic transport of an incompressible conducting micropolar fluid in a symmetric channel. The flow analysis has been developed for low Reynolds number and long wavelength approximation. Exact solutions have been established for the axial velocity, microrotation component, stream function, magnetic-force function, axial-induced magnetic field, and current distribution across the channel. Expressions for the shear stresses are also obtained. The effects of pertinent parameters on the pressure rise per wavelength are investigated by means of numerical integrations, also we study the effect of these parameters on the axial pressure gradient, axial-induced magnetic field, as well as current distribution across the channel and the nonsymmetric shear stresses. The phenomena of trapping and magnetic-force lines are further discussed.

[1]  Tasawar Hayat,et al.  Peristaltic motion of a Carreau fluid in an asymmetric channel , 2007, Appl. Math. Comput..

[2]  Abd El Hakeem Abd El Naby,et al.  Separation in the flow through peristaltic motion of a carreau fluid in uniform tube , 2004 .

[3]  Abd El Hakeem Abd El Naby,et al.  Effects of an endoscope and generalized Newtonian fluid on peristaltic motion , 2002, Appl. Math. Comput..

[4]  Tasawar Hayat,et al.  An analysis of peristaltic transport for flow of a Jeffrey fluid , 2007 .

[5]  L M Srivastava,et al.  Peristaltic transport of blood: Casson model--II. , 1984, Journal of biomechanics.

[6]  Abd El Hakeem Abd El Naby,et al.  Effects of a magnetic field on trapping through peristaltic motion for generalized Newtonian fluid in channel , 2006 .

[7]  Tasawar Hayat,et al.  Magnetohydrodynamic peristaltic motion of a Sisko fluid in a symmetric or asymmetric channel , 2008 .

[8]  N. Dhar.  Proceedings of The National Academy of Sciences, India , 1957 .

[9]  Tasawar Hayat,et al.  Peristaltic Flow of a Magnetohydrodynamic Johnson–Segalman Fluid , 2005 .

[10]  Tasawar Hayat,et al.  Peristaltic motion of a Johnson-Segalman fluid in a planar channel , 2003 .

[11]  K. Mekheimer,et al.  Peristaltic transport of a couple stress fluid in a uniform and non-uniform channels. , 2002, Biorheology.

[12]  Peeyush Chandra,et al.  On the influence of wall properties in the peristaltic motion of micropolar fluid , 2003, The ANZIAM Journal.

[13]  K. Mekheimer,et al.  Peristaltic flow of a couple stress fluid in an annulus: Application of an endoscope , 2008 .

[14]  M. El-Sayed,et al.  Peristaltically induced transport of a MHD biviscosity fluid in a non-uniform tube , 2007 .

[15]  Tasawar Hayat,et al.  A mathematical description of peristaltic hydromagnetic flow in a tube , 2007, Appl. Math. Comput..

[16]  Tasawar Hayat,et al.  Hall effects on peristaltic flow of a Maxwell fluid in a porous medium , 2007 .

[17]  Smj Zaidi,et al.  Polymer sulfonation - A versatile route to prepare proton-conducting membrane material for advanced technologies , 2003 .

[18]  Tasawar Hayat,et al.  Peristaltically induced motion of a MHD third grade fluid in a deformable tube , 2006 .

[19]  R. P. Agarwal,et al.  Oscillating Flow of a Conducting Fluid With a Suspension of Spherical Particles , 1980 .

[20]  Tasawar Hayat,et al.  Slip effects on the peristaltic transport of MHD fluid with variable viscosity , 2008 .

[21]  Kh. S. Mekheimer,et al.  Effect of the induced magnetic field on peristaltic flow of a couple stress fluid , 2008 .

[22]  Tasawar Hayat,et al.  On mechanism of peristaltic flows for power-law fluids , 2006 .

[23]  C. Plumpton,et al.  An introduction to magneto-fluid mechanics , 1961 .

[24]  Howard A. Stone,et al.  Peristaltically driven channel flows with applications toward micromixing , 2001 .

[25]  K. Raju,et al.  Peristaltic motion of a non-Newtonian fluid , 1972 .

[26]  T. Hayat,et al.  Peristaltic flow of a micropolar fluid in a channel with different wave forms , 2007 .

[27]  A. Eringen,et al.  THEORY OF MICROPOLAR FLUIDS , 1966 .

[28]  S. Mekheimer,et al.  NONLINEAR PERISTALTIC TRANSPORT OF MHD FLOW THROUGH A POROUS MEDIUM , 2003 .

[29]  Moustafa El-Shahed,et al.  Peristaltic transport of Johnson-Segalman fluid under effect of a magnetic field , 2005 .

[30]  Kh.S. Mekheimer,et al.  Peristaltic flow of blood under effect of a magnetic field in a non-uniform channels , 2004, Appl. Math. Comput..

[31]  T. Hayat,et al.  Peristaltic flow of a couple stress fluid in an asymmetric channel. , 2007, Biorheology.

[32]  M. Haroun,et al.  Effect of Deborah number and phase difference on peristaltic transport of a third-order fluid in an asymmetric channel , 2007 .

[33]  S. Mekheimer,et al.  NON-LINEAR PERISTALTIC TRANSPORT OF MAGNETOHYDRODYNAMIC FLOW IN AN INCLINED PLANAR CHANNEL , 2003 .

[34]  A. Eringen.  Microcontinuum Field Theories , 2020, Advanced Continuum Theories and Finite Element Analyses.

[35]  Tasawar Hayat,et al.  Peristaltic motion of a Burger's fluid in a planar channel , 2007, Appl. Math. Comput..

[36]  R. Devanathan,et al.  Peristaltic motion of a micropolar fluid , 1975 .

[37]  G. Böhme,et al.  Peristaltic Flow of Viscoelastic Liquids , 1983 .

[38]  Kh. S. Mekheimer,et al.  The influence of heat transfer and magnetic field on peristaltic transport of a Newtonian fluid in a vertical annulus: Application of an endoscope , 2008 .

[39]  G. Sekhon,et al.  Pumping action on blood by a magnetic field. , 1977, Bulletin of mathematical biology.

[40]  Tasawar Hayat,et al.  Peristaltic transport of a third order fluid under the effect of a magnetic field , 2007, Comput. Math. Appl..

[41]  Tasawar Hayat,et al.  Peristaltic transport of a third-order fluid in a circular cylindrical tube , 2002 .

[42]  Masood Khan,et al.  Non-linear peristaltic flow of a non-Newtonian fluid under effect of a magnetic field in a planar channel , 2007 .

[43]  M. Haroun,et al.  Non-linear peristaltic flow of a fourth grade fluid in an inclined asymmetric channel , 2007 .