Abstract
This paper examines the peristaltic flow of Williamson nanofluid in an annulus in the presence of induced magnetic field. Present problem is determined under the molds of long wavelength and low Reynolds number approximation. This theoretical problem can be considered as a mathematical illustration to the movement of fluids in the presence of an endoscope or catheter tube. The inner cylinder is rigid, whereas the outward cylinder proceeds a sinusoidal wave moving down its walls. The analytical solution is obtained by using Homotopy perturbation method. Mathematica numerical simulations are adopted to calculate frictional forces and pressure rise. Behavior of various physical parameters is presented through graphs. It is found that induced magnetic field and current density enhance by increasing value of magnetic Reynolds number. It is also found that temperature profile upturns with an upturn in Brownian motion and thermophoresis parameter.