Impact of heat and mass transfer on the peristaltic mechanism of Jeffery fluid in a non-uniform porous channel with variable viscosity and thermal conductivity

The present examination emphasizes the effects of heat and mass transfer on the peristaltic flow of Jeffery fluid through a non-uniform channel with variable viscosity and thermal conductivity. The porous walls are considered to make more realistic approximations to the flow characteristics of biological fluids. Further, the convective boundary conditions and wall properties have been employed in the analysis. The mathematical formulation is established on the grounds of low Reynolds number and long wavelength approximations. Perturbation solution is obtained for the resulting nonlinear differential equation of energy for small values of variable thermal conductivity, whereas the exact solution is found for the velocity and concentration fields. The MATLAB software is utilized to generate the graphical representation of the variables used in the model. From the examination, it is seen that a rise in the value of variable viscosity upgrades the velocity, Nusselt number, and temperature fields, though the contrary conduct is seen for concentration profiles. Besides, the rise in volume of the trapped bolus is noticed for an increase in the value of porous and Jeffery parameters.