Application of Rabinowitsch Fluid Model in Peristalsis

Abstract

In the present article, we have studied the Rabinowitsch fluid model for the peristaltic flow. The non-Newtonian nature of the fluid is analyzed mathematically by considering the Rabinowitsch fluid. The Rabinowitsch fluid model for the peristaltic flow is not discussed so far. This is the first article describing the features of Rabinowitsch fluid in peristaltic literature. The fluid is flowing in a uniform tube with the wave motion. Exact solutions have been calculated for velocity and pressure gradient. The physical behavior of different parameters for velocity, pressure rise, streamlines, and pressure gradient have been examined graphically. It is observed that when Weissenberg number is large then the relaxation time of the fluid is greater than a specific process time in which the pressure rise increases rapidly in the peristaltic pumping regions. Trapping phenomena have been discussed at the end of the article