Analysis of the Entropy Generation and Effects of Peristalsis on Prandtl–Eyring Fluid Flow in an Elliptical Channel: Streamlines Case

Abstract This article investigates the effects of peristaltic flow on a non-Newtonian Prandtl–Eyring fluid in a duct with an elliptical cross section. Using dimensionless variables and the long-wavelength approximation, the considered model is transformed into a nondimensional form. For solving the transformed mathematical model, the perturbation approach and polynomial solutions are implemented. The analytically obtained findings are analyzed and presented using a graphical depiction of numerous physical parameters. Entropy and streamline analysis are also conducted. Using graphics, the effects of various physical parameters on temperature, pressure gradient, velocity, and pressure rise are analyzed. The velocity profile exhibited a parabolic nature, which was somewhat disrupted along a minor axis. Moreover, the flow velocity gained high values at the conduit's center and gradually declined toward the conduit wall. The temperature distribution, enhanced by the Brinkman number and fluid parameter A, is parabolic along the longitudinal axis but deformed close to the boundary walls of the duct. Higher entropy formation is observed due to the fluid parameter A and the Brinkman number. From streamline analysis, it is observed that as the flowrate Q increases, the contours become larger in size but fewer in number.