Analytical Analysis of Peristaltic Flow of a 6 Constant Jeffreys Model of Fluid in an Inclined Planar Channel

Abstract

In this article we have explored the peristaltic flow of an incompressible six constant Jeffreys model of fluid in an inclined planar channel. The flow is examined in a wave frame of reference moving with the velocity of the wave. The governing equations of 6 constant Jeffreys model of fluid for 2 dimensional flows are first modeled and then simplified under the assumptions of the lubrication approach. The solutions of highly non linear equations are calculated using analytical and numerical techniques. Numerical integration is carried out to calculate the expression of pressure rise and pressure gradient. The graphical results are presented to see the effects of various emerging parameters of interest. doi:10.14456/WJST.2014.34

Keywords

• Peristaltic flow
• six constant Jeffreys model of fluid
• inclined planar channel
• analytical and numerical solution