Z. Naturforsch. 68a, 433 – 441
Mixed Convective Magnetohydrodynamic Peristaltic Flow of a Jeffrey Nanofluid with Newtonian Heating
1 DBS&H, CEME, National University of Sciences and Technology, Islamabad, Pakistan
2 Department of Mathematics, Quaid-i-Azam University 45320, Islamabad 44000, Pakistan
Received December 10, 2012 / revised January 31, 2013 / published online May 22, 2013
We present the mixed convective peristaltic motion of a magnetohydrodynamic (MHD) Jeffrey nanofluid in an asymmetric channel with Newtonian heating. In the peristaltic literature, Newtonian heating is used for the first time in the present article. The peristaltic flow of a nanofluid with Newtonian heating is not explored so far. So in the present problem, first we model the mixed convective peristaltic motion of a MHD Jeffrey nanofluid in an asymmetric channel with Newtonian heating. According to the realistic approch, the problem formulation is made under long wavelength and low Reynolds number approximation. We get the four coupled equations. Homotopy perturbation method (HPM) solutions are calculated for nanoparticle fraction and heat transfer phenomena, while exact solutions are evaluated for stream function and pressure gradient. The possessions of different parameters on the flow quantities of observation are
analyzed graphically and physically. In the end, the streamlines are plotted and discussed.
Key words: Peristaltic Flow; Asymmetric Channel; Jeffrey Nanofluid; Newtonian Heating.