Effects of Slip and Magnetic Field on Peristaltic Pumping of a Couple Stress Fluid in an inclined Asymmetric Channel

P.Vinod Kumar1, Y.V.K.Ravi Kumar2 and  Shahnaz Bathul

1Department of Mathematics, JNTU College of Engineering, Nachupally, Karimnnagar, Telangana, India.

2Practice School Division, Birla Institute of Technology & Science(BITS)-Pilani, Hyderabad, Telangana, India.

3Department of Mathematics, JNTU College of Engineering,, Kukat pally, Hyderabad, Telangana, India.



We have analyzed the on peristaltic pumping of a couple stress fluid in an inclined porous channel with the effects of slip and Magnetic field . Analytical expressions for the stream function, the axial pressure gradient, the axial velocity and the distribution of the current density across the channel are obtained using long wavelength approximation and low Reynolds number. The results for the axial veleciy,pressure gradient, pressure rise across the channel have been computed numerically and explained graphically. The results were studied for various values of the physical parameters of interest, such as the couple stress parameter( γ ) , the Magnetic number (M), Froude number (Fr), slip Parameter(L),inclination  and the time averaged mean flow rate Q.

Keywords: Couple stress fluid , magnetic field ,porous channel.





International eJournal of Mathematical Sciences, Technology and Humanities

Volume 4, Issue 3, Pages:  1331 - 1348