Peristaltic Flow of a Nanofluid under the Effect of Hall Current and Porous Medium

The problem of peristaltic flow of an incompressible viscous electrically conducting nanofluid in a vertical asymmetric channel through a porous medium is investigated by taking the Hall effects into account. The governing equations are formulated and simplified under the assumptions of long wavelength and low Reynolds number. The solutions for temperature and nanoparticle profiles are obtained by using the homotopy perturbation method (HPM) and closed form solutions for stream function and pressure gradient are developed. Finally, the effects of various emerging parameters on the physical quantities of interest are plotted and discussed

Effect of Induced Magnetic Field on Peristaltic Transport of a nanofluid in an asymmetric channel: Closed form Solution

In this paper, the problem of peristaltic transport of a nanofluid in an asymmetric channel under the effect of induced magnetic field has been investigated theoretically. The problem is simplified under the assumption of long wave length and law Reynolds number. Exact analytic solutions for the present problem are obtained. Expressions for the velocity, stream function, temperature distribution, nanoparticles concentration, pressure gradient, pressure rise, magnetic force function, axial magnetic field, and current density distribution are computed. The effect of various emerging parameters on the flow characteristic are shown and discussed. The trapping phenomena have been also discussed. Results show that the magnitude of the velocity decreases in the center of the channel while it increases near the channel wall with an increase in Hartmann number M. It is also noted that the size of the trapped bolus increases in the lower half of the channel when we increase the Hartmann number as well as the local Grashof number