Peristaltic Motion of Johnson-Segalman Fluid in a Curved Channel with Slip Conditions

Slip effects on the peristaltic transport of Johnson-Segalman fluid through a curved channel have been addressed. The influence of wall properties is also analyzed. Long wavelength and low Reynolds number assumptions have been utilized in the mathematical formulation of the problem. The equations so formed have been solved numerically by shooting method through computational software Mathematica 8. In addition the analytic solution for small Weissenberg number (elastic parameter) is computed through a regular perturbation method. An excellent agreement is noticed between the two solutions. The results indicate an increase in the magnitude of velocity with an intensification in the slip effect. Moreover the size and circulation of the trapped boluses increase with an increase in the slip parameter. Unlike the planar channel, the profiles of axial velocity are not symmetric about the central line of the channel.

[1]  Tasawar Hayat,et al.  The influence of wall properties on the MHD peristaltic flow of a Maxwell fluid with heat and mass transfer , 2010 .

[2]  T. Hayat,et al.  Peristaltic transport of Johnson–Segalman fluid in a curved channel with compliant walls , 2012, Nonlinear Analysis: Modelling and Control.

[3]  N. Akbar,et al.  Influence of heat and mass transfer on the peristaltic flow of a Johnson Segalman fluid in a vertical asymmetric channel with induced MHD , 2011 .

[4]  S. M. Khaled,et al.  An Exact Solution for a Boundary Value Problem with Application in Fluid Mechanics and Comparison with the Regular Perturbation Solution , 2014 .

[5]  Makoto Okabe,et al.  Two-Dimensional Peristaltic Flow in Curved Channels , 2000 .

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

[7]  S. Srinivas,et al.  On the influence of wall properties in the MHD peristaltic transport with heat transfer and porous medium , 2008 .

[8]  Tasawar Hayat,et al.  Peristaltic Motion of Nanofluid in a Curved Channel , 2014 .

[9]  N. S. Gad Effect of Hall currents on interaction of pulsatile and peristaltic transport induced flows of a particle-fluid suspension , 2011, Appl. Math. Comput..

[10]  Tasawar Hayat,et al.  Heat and mass transfer effects on the peristaltic flow of Johnson–Segalman fluid in a curved channel with compliant walls , 2012 .

[11]  Tasawar Hayat,et al.  Numerical investigation on mixed convective peristaltic flow of fourth grade fluid with Dufour and Soret effects , 2014 .

[12]  M. R. Kaimal,et al.  On Peristaltic Pumping , 1978 .

[13]  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 .

[14]  Tasawar Hayat,et al.  Peristaltic flow of a Maxwell fluid in a channel with compliant walls , 2009 .

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

[16]  Tasawar Hayat,et al.  Peristaltic transport of viscous fluid in a curved channel with compliant walls , 2011 .

[17]  M. Haroun,et al.  EFFECT OF WALL COMPLIANCE ON PERISTALTIC TRANSPORT OF A NEWTONIAN FLUID IN AN ASYMMETRIC CHANNEL , 2006 .

[18]  T. Hayat,et al.  Peristaltic flow of a Johnson-Segalman fluid through a deformable tube , 2007 .

[19]  S. Prasad,et al.  On the influence of wall properties and Poiseuille flow in peristalsis. , 1973, Journal of biomechanics.

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

[21]  Tasawar Hayat,et al.  MHD Peristaltic Transport of a Jeffery Fluid in a Channel With Compliant Walls and Porous Space , 2008 .

[22]  M. Kothandapani,et al.  Mixed convective heat and mass transfer in an asymmetric channel with peristalsis , 2011 .

[23]  Tasawar Hayat,et al.  Effect of wall properties on the peristaltic flow of a third grade fluid in a curved channel with heat and mass transfer , 2011 .

[24]  Tasawar Hayat,et al.  Peristaltic transport of a Johnson-Segalman fluid in an asymmetric channel , 2008, Math. Comput. Model..

[25]  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..

[26]  Nasir Ali,et al.  Non-Newtonian fluid flow induced by peristaltic waves in a curved channel , 2010 .

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

[28]  T. Hayat,et al.  Long Wavelength Flow Analysis in a Curved Channel , 2010 .

[29]  L. M. Srivastava,et al.  Influence of wall elasticity and poiseuille flow on peristaltic induced flow of a particle-fluid mixture , 1997 .

[30]  Kumbakonam R. Rajagopal,et al.  Some simple flows of a Johnson-Segalman fluid , 1999 .

[31]  T. Hayat,et al.  Simultaneous effects of slip and heat transfer on the peristaltic flow , 2010 .

[32]  M. Kothandapani,et al.  Peristaltic transport of a Jeffrey fluid under the effect of magnetic field in an asymmetric channel , 2008 .

[33]  M. Haroun,et al.  A new model for study the effect of wall properties on peristaltic transport of a viscous fluid , 2008 .

[34]  T. Hayat,et al.  Peristaltic Flow of Pseudoplastic Fluid in a Curved Channel With Wall Properties , 2013 .

[35]  Peeyush Chandra,et al.  Peristaltic motion of micropolar fluid in circular cylindrical tubes : Effect of wall properties , 2008 .

[36]  S. Srinivas,et al.  Non-linear peristaltic transport of a Newtonian fluid in an inclined asymmetric channel through a porous medium , 2008 .

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

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

[39]  T. Hayat,et al.  Influence of induced magnetic field on the peristaltic flow of nanofluid , 2014 .

[40]  F. Alsaadi,et al.  Peristaltic motion of third grade fluid in curved channel , 2014 .

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

[42]  Christopher Davies,et al.  Instabilities in a plane channel flow between compliant walls , 1997, Journal of Fluid Mechanics.

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

[44]  Nasir Ali,et al.  Heat transfer analysis of peristaltic flow in a curved channel , 2010 .