NON-LINEAR PERISTALTIC TRANSPORT OF MAGNETOHYDRODYNAMIC FLOW IN AN INCLINED PLANAR CHANNEL

In order to determine the characteristics of the peristaltic transport of magnetohydrodynamic gravity flow, the motion of a hydromagnetic (electrically conducting), viscous and incompressible fluid in an inclined planar channel having electrically insulated walls that are transversely displaced by an infinite, harmonic traveling wave of large wavelength was analyzed using a perturbation expansion in terms of a variant wave number. We obtain explicit form for the velocity field, a relation between the pressure rise and flow rate, in terms of Reynolds number, wave number, Hartmann number, Froud number, inclined angle, and the occlusion. The effects of all parameters of the problem are discussed numerically and explained graphically. ﺔــﺻﻼﺨﻟا