Effect of viscous dissipation on peristaltic flow of Carreau fluid through a tapered eccentric cylinders

Abstract

In the current investigation, we have discussed the impact of viscous dissipation on the peristaltic motion of Carreau fluid through the tapered eccentric cylinders. We have also considered the incompressible Carreau fluid in between the two eccentric cylinders, here we have rigorous inner tube and tapered outer tube, and where the outer tube wall is subjected to a sinusoidal wave. The governing equation of continuity, momentum, and temperature are solved by applying analytic technique known as Homotopy Perturbation Method. The analytical determination of pressure rise and pressure gradients are achieved. The impacts of different specifications on temperature, pressure rise, and pressure gradient distributions are studied graphically. It is noticed that Diverging tapering attains more temperature as compared to converging tapering. Temperature increases with increase in Brinkman number Br. Pressure rise ΔPλ rises with rise in the Brinkman number (Br) as well as the increase in the azimuthal coordinate θ . Pressure gradient declines with rise in Brinkman number Br, and also noticed that there will be declination for rise in the value of δ0.