Effects of transverse magnetic field on a rotating micropolar fluid between parallel plates with heat transfer

Hydromagnetic flow of a micropolar fluid between two horizontal parallel plates in a rotating system has been investigated. The governing partial differential equations for momentum, energy and micro-rotation are presented and transformed into ordinary differential equations by means of similarity transformations. The solutions for velocity, temperature and micro-rotation profiles are expressed through graphs against various emerging physical parameters such as coupling parameter, viscosity parameter, Hartman number, Reynold number, rotation parameter, porosity parameter and peclet number using optimal homotopy analysis method (OHAM). Local skin friction co-efficient and local heat fluxes are computed analytically using OHAM as well as numerically through mid-point integration scheme and they are found to be in excellent agreement. It has been observed that local skin friction is higher for the case of strong concentration compare to the case of weak concentration. Moreover, influence of strong and weak concentration on Nusselt number is also examined. (C) 2015 Elsevier B.V. All rights reserved.