Heat and Mass Transfer Analysis in MHD Peristaltic Flow of Newtonian and Non-Newtonian Fluids bounded with Porous Tilted Channel

Abstract This work investigates the dynamics of peristaltic blood flow on a non-Newtonian Jeffery fluid in the presence of a magnetic environment by taking a porous medium. The channel is considered to be convective and porous which is inclined at a certain angle to the horizontal in order to understand the behavior of blood flow in a biological system. Moreover, velocity slip, concentration slip, and convective boundary conditions are taken into account. The mathematical development of the governing equations gives a velocity, temperature, and concentration solution under the assumption of long wavelength and low Reynolds number. The technique of perturbation is used on the non-linear equations of velocity and temperature to find their analytical solutions while the exact solution is obtained for the equation of concentration. A numerical software named Wolfram MATHEMATICA is used to find the analytical solution and graphical framework of velocity, temperature, and concentration profiles. A comparison of Newtonian and Jeffery fluid is established graphically to find the behavior of various physical parameters used in the analysis. Results show that the porous medium parameter enhanced the velocity and temperature profiles, and diminished the concentration profile. Moreover, the Hartman number slows down the velocity of the fluid.