Peristaltic analysis of Williamson blood flow model with solar biomimetic pump

Abstract

Mathematical model of peristaltic motion for Williamson blood flow through esophagus is addressed with the coordination of biomimetic solar based pump. The transfer of heat and mass is examined under the assumption of diversified viscosity, diffusivity and conductivity. The novelty of the present manuscript is the consolidation of vertical peristaltic system, blood flow over an esophagus, biomimetic solar pump, variable thermo-physical properties, involvement of activation energy for chemical reaction. For the implementation of solar mimetic system, the equations are modeled under the presence of Rosseland's approximation and taking the assumption of long wavelength and small Reynolds number. The application of activation energy is seems through the chemical reaction which is taken near the walls of esophagus. We concluded that the velocity profile reveals the parabolic behavior and Williamson as well as viscosity parameter reduces the velocity fields. The pumping augmented pumping and free pumping areas are addressed. The temperature distributions are exhibits in the form of straight lines and we concluded that thermal conductivity and radiation parameters boost the temperature profile. The activation energy and diffusivity parameter decreases the concentration distribution. Streamlines for peculiar quantities of Weissenberg number and volumetric flow rates are derived and isothermal contour is also examined.