Solution of some problem of heat and mass transfer on the peristaltic flow in symmetric channel with sinusoidal walls

Abstract

This study investigates the influence of heat transfer, mass transfer, and magnetic fields on the peristaltic motion of a Rabinowitsch-type fluid within an inclined conduit. Thermal and concentration transport phenomena under magnetic effects are modeled by considering an incompressible Rabinowitsch fluid in an inclined channel. The governing equations are simplified through the long-wavelength approximation and the assumption of a low Reynolds number, and are subsequently solved analytically using MATHEMATICA with appropriate boundary conditions. The analysis addresses several flow characteristics, including temperature distribution, velocity profiles, tangential stress, pressure variations, net pressure difference, and frictional resistance. Numerical simulations are employed to evaluate these parameters, and the combined impacts of magnetic fields, heat transfer, and mass transfer on peristaltic transport are systematically examined. Graphical results are presented to illustrate the findings. The outcomes of this research are especially relevant to biomedical applications, particularly in modeling the propulsion of digestive fluids in the intestines during endoscopic procedures.