Rheological Properties and Peristalsis of Rabinowitsch Fluid Through Compliant Porous Walls in an Inclined Channel

The present mathematical model examines the thermal effects of the complaint and porous walls on the peristaltic mechanism of Rabinowitsch fluid in an inclined channel. The influence of convective heat transfer on temperature variation is analyzed. The closed-form solutions are obtained for velocity, temperature, the coefficient of heat transfer and streamlines with the help of long wavelength and small Reynold's number approximation. The impact of relevant parameters of interest on velocity, temperature, the coefficient of heat transfer and streamlines for dilatant, Newtonian and pseudoplastic fluids are also analyzed and discussed through graphs. The results reveal that the velocity diminishes for shear thickening fluid, but it enhances for Newtonian and shear thinning fluids for an increase in the value of the porous parameter. Also, it is seen that the Biot number increases the temperature for dilatant fluid,whereas, it decreases for Newtonian and pseudoplastic fluids. Furthermore, the formation of trapped bolus enhances for Newtonian fluid as compared to the dilatant and pseudoplastic fluids cases. However, the trapped bolus increases for larger values of the porous parameter.