Peristaltic pumping is a special kind of transport, in which, physiological fluids may be pumped from one place in the body to another place. Peristaltic motion flows attracted the attention of many researchers because it is widely observed in industry and biology. Intense research on peristalsis has been done and is still demanded because of its useful applications. Such applications include enhanced oil recovery, chemical processes such as in distillation towers and fixed-bed reactors, urine transport from kidney to bladder through the ureter, transport of lymph in the lymphatic vessels, swallowing food through the esophagus, the movement of chyme in the gastrointestinal tract, ovum movement in the fallopian tube, transportation of spermatozoa in the ductus efferentes of the male reproductive tracts, in the vasomotion of small blood vessels, in sanitary fluid transport, and blood pumps in heart lung machine. In addition, peristaltic pumping occurs in many practical applications involving bio-mechanical systems. The peristaltic flows can be divided to Newtonian and non-Newtonian flows that have been reported analytically, numerically, and experimentally by a number of researchers [1-11]. Although most prior studies of peristaltic transport have focused on Newtonian fluids, there are also studies involving non- Newtonian fluids [12-20] i.e. fluids in which the relation between shear stress and shear rate is not linear.