The peristaltic pump of a fluid which is of non-Newtonian type over a curved tube is the main focus of this study. The mathematical formulation of the problem is presented. A small Reynolds number (Re) and a large wavelength (δ) are used to simplify the calculation of the problem. The final expression of the stream function is found by applying the perturbation procedure for different values k, we derive a numerical solution to the nonlinear differential equation. An extensive review of the influence of various physics parameters, such that Hartman number, non-Newtonian fluid number and many others, in two cases, small and large values of the curvature value k, on the axial velocity profile, the pressure rise, the pressure gradient, and the streamlines. This discussion is supported by the inclusion of pictures and illustrations.
