International Mathematical Forum, Vol. 6, 2011, no. 27, 1345 - 1356 Effect of Magnetic Field and Wall Properties on Peristaltic Motion of Micropolar Fluid N. A. S. Afifi a , S. R. Mahmoud b 1 * and H. M. Al-Isede c a Department of Mathematics, Faculty of Education Ain Shams University, Egypt b Mathematics Department, Faculty of Education King Abdul Aziz Univ., Saudi Arabia. *E-mail: srhassan@kau.edu.sa c Department of Mathematics, Faculty of Sciences Umm Al-Qura University, Saudi Arabia Abstract In this paper, the effect of magnetic field on wall properties for peristaltic motion of micropolar fluid in a flexible tubes is studied. The governing equation are nonlinear in nature, a regular perturbation method is used to obtain linearized system of coupled differential equations which are then solved numerically using Rung Kutta method. Results have been discussed for time mean velocity profile to observe the effect of magnetic field on wall properties in the presence of micropolarity effects. In the case of no magnetic field, our result is in agreement with previous investigations. Keywords: Micropolar fluid; Magnetic Field; Peristalsis; Free pumping; Time mean flow. I. Introduction Several theoretical and experimental studies have been conducted to understand peristaltic action since the first investigation made an experimental study of the mechanics of peristaltic transport. M. Abd-Alla and Mahmoud [1] solved magneto- thermoelastic problem in rotating non-homogeneous orthotropic hollow cylindrical 1 Permanent address: Mathematics Department, Faculty of Science, University of Sohag, 82524, Egypt.