Study of variable magnetic field on the peristaltic flow of Jeffrey fluid in a non-uniform rectangular duct having compliant walls

In this article, the effects of variable magnetic field on peristaltic flow of Jeffrey fluid in a non-uniform rectangular duct having compliant walls are investigated. The unsteady viscous incompressible electrically conducting flow is considered. The variable magnetic field under long wavelength and low Reynolds number is taken into account. The exact solutions of nonhomogeneous governing equations are obtained through eigenfunction expansion method. Impact of variables reflecting the salient features of magnetic parameter, Jeffrey parameter, aspect ratio, wall tension and wall properties has been graphically pointed out. Trapping phenomenon is analyzed through stream lines. A suitable comparison has also been made with the prior results in the literature as a limiting case of the considered problem, for instance, by taking a Jeffrey parameter λ1 = 0, the presented result reduces to Newtonian fluid. It is worth mentioning that with the increment in magnetic field, it causes a reduction in the velocity of the fluid. Comparison with the existing published results are also presented as a special case of our study and found that presents results are in excellent agreement.