PERISTALTIC MOTION OF AN ELLIS FLUID MODEL IN A VERTICAL UNIFORM TUBE WITH WALL PROPERTIES

The present article manages with the peristaltic flow of an Ellis fluid model in a vertical uniform tube with the wall properties utilizing long wavelength and low Reynolds number approximation. The analytical expressions have been obtained for stream function, velocity and temperature dispersion. The results are plotted and discussed in detail for the cases of shear thinning, shear thickening and viscous fluids. The impacts of different parameters are associated with the flow problem such as rigidity parameter E1 , stiffness parameter E2 , viscous damping force parameter E3 and Brickman number Br. It is discovered that the velocity profile is increasing function of rigidity parameter, stiffness parameter and for viscous damping force parameter velocity decreasing and then increasing due to the less resistance offered by the walls but quite opposite behavior is depicted for shear thickening fluids. It is seen that Brickman number enhances the fluid temperature for all cases