Effects Wall Properties on Peristaltic Transport of Rabinowitsch Fluid through an Inclined Non-Uniform Slippery Tube

Abstract

The effects of slip and wall properties on the peristaltic mechanism of Rabinowitsch fluid flowing through a non-uniform inclined tube is investigated under the assumptions of long wavelength and small Reynold’s number. The governing equations of motion, momentum, and energy are rendered dimensionless by using suitable similarity transformations. The effects of the velocity slip parameter , thermal slip parameter, wall rigidity parameter, wall stiffness parameter and the viscous damping force parameter on velocity, temperature and streamlines are analyzed for shear thinning, viscous, and shear thickening fluid models. From the results, it is found that an increase in the value of velocity and thermal slip parameter enhances the velocity and temperature profiles for viscous and shear thinning fluids. Also, the volume of trapped bolus improves for an increase in the value of rigidity and stiffness parameter for all the three liquids, whereas it decreases for an increase in the value of the viscous damping force parameter.