PERISTALTIC FLOW OF AN ELLIS FLUID MODEL IN AN INCLINED UNIFORM TUBE WITH WALL PROPERTIES

The present article deals with the peristaltic transport of an Ellis fluid model in an inclined uniform tube with the wall properties using long wavelength and low Reynolds number approximations. The analytical expressions have been obtained for stream function, velocity and temperature distribution. The results are plotted and discussed in detail for the shear thinning and shear thickening fluid cases. The impact of various parameters on the flow behavior such as rigidity parameter E1 , stiffness parameter E2 , viscous damping force parameter E3 and Brickman number are studied. It is found that the velocity profile is an increasing function of rigidity parameter, stiffness parameter and viscous damping force parameter due to the less resistance offered by the walls for shear thinning fluid, but quite opposite behavior is depicted for shear thickening fluid. It is seen that Brickman number enhances the temperature for all cases.