Peristaltic Transport of a Herschel-Bulkley Fluid in Contact With a Newtonian Fluid in a Circular Tube

Peristaltic flow of a Herschel-Bulkley fluid in contact with a Newtonian fluid in a circular tube is studied. The interface which is a stream line is determined by solving a non-linear equation. The expressions for the velocity, the stream function and the pressure rise are obtained. The effects of different parameters on the flow phenomenon are discussed using graphical representation. Here some interesting results were obtained which warrant further investigation on the flow of two immiscible fluids in a circular tube with flexible walls. High amplitude gives rise to a thicker core layer in the first half wave length of the tube region and high amplitude gives rise to a thinner core layer in the second half wave length region of the tube.