Series solution of unsteady peristaltic flow of a Carreau fluid in eccentric cylinders

In the present analysis, the unsteady peristaltic flow of an incompressible Carreau fluid is investigated in eccentric cylinders. The problem is measured in cylindrical coordinates. The governing equations are observed under the conditions of long wavelength and low Reynolds number approximations. The resulting highly nonlinear second order partial differential equations are solved by series solution technique. The relation for pressure rise is evaluated numerically by built-in technique with the help of mathematics software. As a special case, the present results are compared with the existing results given in the literature. The obtained results are then plotted to see the influence of different physical parameters on the velocity, pressure gradient and pressure rise expressions. The velocity profile is drawn for both two and three dimensions. The trapping boluses are also discussed through streamlines.