Peristaltic flow of a Williamson fluid in an inclined asymmetric channel with partial slip and heat transfer

Abstract The present article deals with the peristaltic flow of a Williamson fluid in an inclined asymmetric channel. The relevant equations have been modeled. Analysis has been carried out in the presence of velocity and thermal slip conditions. Expressions for stream function, temperature, pressure gradient and heat transfer coefficients are derived. The solutions are compared with the existing available results in a limiting sense. Numerical integration has been performed for pressure rise per wavelength. Plots are presented and analyzed for various embedded parameters into the problem. Comparison between the solutions is also shown.

[1]  Sohail Nadeem,et al.  Influence of heat transfer on peristaltic transport of a Johnson–Segalman fluid in an inclined asymmetric channel , 2010 .

[2]  Sohail Nadeem,et al.  Heat transfer in a peristaltic flow of MHD fluid with partial slip , 2010 .

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

[4]  Ahmet Yildirim,et al.  Effects of partial slip on the peristaltic flow of a MHD Newtonian fluid in an asymmetric channel , 2010, Math. Comput. Model..

[5]  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..

[6]  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 .

[7]  S. Weinberg,et al.  Peristaltic pumping with long wavelengths at low Reynolds number , 1968, Journal of Fluid Mechanics.

[8]  S. Srinivas,et al.  The influence of slip conditions, wall properties and heat transfer on MHD peristaltic transport , 2009, Comput. Phys. Commun..

[9]  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..

[10]  V. Seshadri,et al.  Peristaltic transport of non-Newtonian fluid in a diverging tube with different wave forms , 2008, Math. Comput. Model..

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

[12]  Tasawar Hayat,et al.  Effects of slip and heat transfer on the peristaltic flow of a third order fluid in an inclined asymmetric channel , 2011 .

[13]  Tasawar Hayat,et al.  MHD peristaltic motion of Johnson–Segalman fluid in a channel with compliant walls , 2008 .

[14]  S. Srinivas,et al.  Effects of chemical reaction and space porosity on MHD mixed convective flow in a vertical asymmetric channel with peristalsis , 2011, Math. Comput. Model..

[15]  T. Hayat,et al.  Slip effects in peristalsis , 2011 .

[16]  S. Nadeem,et al.  Influence of inclined magnetic field on peristaltic flow of a Williamson fluid model in an inclined symmetric or asymmetric channel , 2010, Math. Comput. Model..