Partial Slip Consequences on Peristaltic Transport of Williamson Fluid in an Asymmetric Channel

Abstract

The present analysis deals with the peristaltic flow of a Williamson fluid model in an asymmetric channel with different wave forms under the effects of partial slip. The governing nonlinear partial differential equations, along with nonlinear partial slip boundary conditions, have been first simplified, using the assumptions of long wave length and low Reynolds number. The reduced nonlinear differential equations are then solved analytically by the regular perturbation method. The expression for pressure rise is computed numerically. At the end, the graphical behavior of velocity, pressure gradient, pressure rise, and streams functions for various values of Williamson fluid parameters are shown and discussed. doi:10.14456/WJST.2015.47

Keywords

• Williamson fluid model
• partial slip
• peristaltic flow
• asymmetric channel
• analytical solution
• different wave forms