IJAPRR International Peer Reviewed Refereed Journal, Vol. II, Issue VII, p.n. 25-36, 2015 Page 25 International Journal of Allied Practice, Research and Review Website: www.ijaprr.com (ISSN 2350-1294) Peristaltic Flow of A Couple Stress Fluids in an Inclined Channel V.P.Rathod and N.G.Sridhar Department of studies and Research in Mathematics, Gulbarga University, Gulbarga-585106, Karnataka, India Abstract - The present paper investigates the peristaltic motion of a couple stress fluid in a two dimensional inclined channel. The effects of various physical parameters on velocity, pressure gradient and friction force have been discussed & computed numerically. The effects of various key parameters are discussed with the help of graphs. Keywords: Peristaltic flow, Couple stress fluid, inclined channel. 1. INTRODUCTION Peristalsis is known to be one of the main mechanisms of transport for many physiological fluids, which is achieved by the passage of progressive waves of area contraction and expansion over flexible walls of a tube containing fluid. This mechanism is found in many physiological situations like urine transport from kidney to the bladder through the ureter, swallowing food through the esophagus, movement of chyme in the gastrointestinal tract, transport of spermat ozoa in the ducts efferent‟s of the male reproductive organ, movement of ovum in the female fallopian tube, vasomotion of small blood vessels, motion of spermatozoa in cervical canal, transport of bile in bile duct. Some worms like earth- worm use peristalsis for their locomotion. Some biomedical instruments such as heart-lung machine work on this principle. Mechanical devices like finger pumps, roller pumps use peristalsis to pump blood, slurries and corrosive fluids. It is also speculated that peristalsis may be involved in the translocation of water in tall trees. The translocation of water involves its motion through the porous matrix of the trees. The peristaltic transport of a toxic liquid is used in nuclear industry so as not to contaminate the outside environment. Various studies on peristaltic transport, experimental as well as theoretical, have been carried out by many researchers to explain peristaltic pumping in physiological systems. Srivastava et.al., [1] peristaltic transport of a physiological fluid: part I flow in non- uniform geometry. Latham [2] investigated the fluid mechanics of peristaltic pump and science. Ramchandra and Usha [3] studied the influence of an eccentrically inserted catheter on the peristaltic pumping in a tube under long wavelength and low Reynolds numbers approximations. Gupta and Sheshadri [4] studied peristaltic transport of a Newtonian fluid in non-uniform geometries. Srivastava and Srivastava