Effects of heat transfer on the peristaltic transport of MHD Newtonian fluid with variable viscosity: Application of Adomian decomposition method

Abstract This paper concern with the peristaltic transport of MHD Newtonian fluid in a symmetric, two dimensional channel with variable viscosity under the influence of heat transfer analysis. For the formulation of the problem long wave length and low Reynold number assumption is taken into account. An exact solution is presented for the temperature field. The velocity field for the model of interest is solved by Adomian decomposition method. Numerical illustrations that show the physical effects and the pertinent features are investigated at the end of the paper.

[1]  Abdul-Majid Wazwaz,et al.  Adomian decomposition method for a reliable treatment of the Emden-Fowler equation , 2005, Appl. Math. Comput..

[2]  S. Srinivas,et al.  Peristaltic transport in an asymmetric channel with heat transfer — A note , 2008 .

[3]  V. Lakshmikantham,et al.  Stability of conditionally invariant sets and controlleduncertain dynamic systems on time scales , 1995 .

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

[5]  D Elad,et al.  Analysis of intra-uterine fluid motion induced by uterine contractions , 1999, Bulletin of mathematical biology.

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

[7]  Kuppalapalle Vajravelu,et al.  Peristaltic flow and heat transfer in a vertical porous annulus, with long wave approximation , 2007 .

[8]  H. Herwig,et al.  The effect of variable properties on laminar boundary layer flow , 1986 .

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

[10]  G. Radhakrishnamacharya,et al.  Influence of wall properties on peristaltic transport with heat transfer , 2007 .

[11]  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 .

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

[13]  B. Yilbas,et al.  Entropy generation for pipe flow of a third grade fluid with Vogel model viscosity , 2006 .

[14]  Abdul-Majid Wazwaz,et al.  A reliable treatment for mixed Volterra-Fredholm integral equations , 2002, Appl. Math. Comput..

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

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

[17]  Mehrdad Massoudi,et al.  Effects of variable viscosity and viscous dissipation on the flow of a third grade fluid in a pipe , 1995 .

[18]  A. Pantokratoras The Falkner–Skan flow with constant wall temperature and variable viscosity , 2006 .

[19]  Abd El Hakeem Abd El Naby,et al.  CORRIGENDUM: Hydromagnetic flow of fluid with variable viscosity in a uniform tube with peristalsis , 2004 .

[20]  Abdul-Majid Wazwaz,et al.  The existence of noise terms for systems of inhomogeneous differential and integral equations , 2003, Appl. Math. Comput..

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

[22]  C. Pozrikidis,et al.  A study of peristaltic flow , 1987, Journal of Fluid Mechanics.