Peristaltic flow of a tangent hyperbolic fluid with convective boundary condition

The present work deals with the peristaltic flow of a tangent hyperbolic fluid in an asymmetric channel. The flow equations have been derived for the tangent hyperbolic fluid. Analysis has been done in the presence of convected boundary condition. The governing nonlinear partial differential equations are transformed into a system of coupled nonlinear ordinary differential equations using similarity transformations and then tackled analytically using the perturbation technique. The main focus has been given to the effects of the Biot number, the power law index and the Weissenberg number. Graphical results for velocity, temperature, pressure rise and trapping are obtained and analyzed in detail.

[1]  S. Nadeem,et al.  INFLUENCE OF HEAT AND CHEMICAL REACTIONS ON HYPERBOLIC TANGENT FLUID MODEL FOR BLOOD FLOW THROUGH A TAPERED ARTERY WITH A STENOSIS , 2012 .

[2]  N. Akbar,et al.  Series Solutions for the Peristaltic Flow of a Tangent Hyperbolic Fluid in a Uniform Inclined Tube , 2010 .

[3]  Abdelhalim Ebaid,et al.  Effects of magnetic field and wall slip conditions on the peristaltic transport of a Newtonian fluid in an asymmetric channel , 2008 .

[4]  Albert C. J. Luo,et al.  Corrigendum to “A theory for synchronization of dynamical systems” [Commun Nonlinear Sci Numer Simulat 14 (2009) 1901-1951] , 2009 .

[5]  Sohail Nadeem,et al.  Numerical Analysis of Peristaltic Transport of a Tangent Hyperbolic Fluid in an Endoscope , 2011 .

[6]  S. Srinivas,et al.  Peristaltic transport of a Newtonian fluid in a vertical asymmetric channel with heat transfer and porous medium , 2009, Appl. Math. Comput..

[7]  Abdelhalim Ebaid,et al.  A new numerical solution for the MHD peristaltic flow of a bio-fluid with variable viscosity in a circular cylindrical tube via Adomian decomposition method , 2008 .

[8]  Abdul Aziz,et al.  A similarity solution for laminar thermal boundary layer over a flat plate with a convective surface boundary condition , 2009 .

[9]  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 .

[10]  Anuar Ishak,et al.  Similarity solutions for flow and heat transfer over a permeable surface with convective boundary condition , 2010, Appl. Math. Comput..

[11]  T. Hayat,et al.  Effects of heat and mass transfer on the peristaltic flow of hyperbolic tangent fluid in an annulus , 2011 .

[12]  Rahmat Ellahi,et al.  Interaction of nanoparticles for the peristaltic flow in an asymmetric channel with the induced magnetic field , 2014 .

[13]  S. Srinivas,et al.  The influence of heat and mass transfer on MHD peristaltic flow through a porous space with compliant walls , 2009, Appl. Math. Comput..

[14]  Oluwole Daniel Makinde,et al.  Unsteady flow of a reactive variable viscosity non-Newtonian fluid through a porous saturated medium with asymmetric convective boundary conditions , 2011, Comput. Math. Appl..

[15]  S. Nadeem,et al.  Copper nanoparticle analysis for peristaltic flow in a curved channel with heat transfer characteristics , 2014 .

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