Abstract
The objective of this article is to investigate the combined effects of the magnetic field and heat transfer on electrically conducting viscoelastic incompressible dusty fluid, flowing between two non-conducting rigid plates. The flow generation in the aforementioned fluid is caused by the oscillating pressure gradient and heat transfer. It is also assumed that all the dust particles having spherical shapes are homogeneously distributed in the fluid. In order to investigate analytical solutions, Light Hill method has been used. Furthermore, the effects of different parameters like an elastic parameter, radiation parameter, Reynolds number and Grashof number on velocity and applied shear stress have been discussed. A noteworthy relation of applied magnetic field with velocity and applied shear stresses is noticed, from the present study it is depicted that in boundary layer flow velocity increases and shear stress decreases with increase in applied magnetic field, while in ordinary course of nature, by increasing applied magnetic field decrease occurs in fluid velocity and shear stress increases.