Abstract
In this work, the theoretical study of steady flow for lift and drainage of Power law MUD fluid on a vertical cylinder is presented. The governing nonlinear differential equation has been derived from the momentum equation. The resulting equation is then solved using Perturbation method. Series solutions have been obtained for velocity, flow rate and average velocity in both cases. The graphical results for velocity profile is discussed and examined for different parameters of interest. Without MHD our problem reduces to well known Newtonian and Power law problem.