Mathematical and Computational Applications, Vol. 15, No. 4, pp. 621-637, 2010. c ⃝Association for Scientific Research PERISTALTIC MECHANISM IN AN ASYMMETRIC CHANNEL WITH HEAT TRANSFER T. Hayat a,b, and F.M. Abbasi a a Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan b Department of Mathematics, College of Sciences, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia a pensy t@yahoo.com Abstract- This study reports the effects of velocity and thermal slip parameters on the peristaltic motion of variable viscosity and magnetohydrodynamic (MHD) fluid in an asymmetric channel. Heat transfer coefficient and temperature are given due attention with respect to embedded parameters in the problem. Keywords- Peristaltic transport, Heat transfer, MHD fluid, Slip condition, Variable Viscosity. 1. INTRODUCTION The peristaltic flows are now being widely studied in the recent years. Interest in such flows is inspired because of their occurrence in urine transport from kidney to the bladder, chyme motion in the gastrointestinal tract, vasomotion of small blood vessels, roller and finger pumps etc. Various aspects of peristalsis for constant vis- cosity fluid in a symmetric channel have been studied by Mekheimer [1-3], Elshahed and Haroun [4], Srivastava and Srivastava [5], Hayat et al.[6-10] and many others. The studies on peristaltic flow of a constant viscosity fluid in an asymmetric chan- nel have been carried out by Misra and Rao [11] and Hayat et al.[12].Ali et al.[13] recently discussed the peristaltic flow of variable viscosity MHD viscous fluid in a symmetric channel. The aim of present study is to extend the flow analysis of study [13] in the three directions. Firstly to describe the flow in an asymmetric channel. Secondly to predict the heat transfer effects. Thirdly to examine the velocity and thermal slip effects. Proper mathematical formulation is carried out. The resulting problems for the stream function and temperature are solved using long wavelength approximation. Important flow quantities are analyzed.