Abstract

The peristaltic flow of a Prandtl fluid in an asymmetric channel has been investigated both analytically and numerically. This is the first article describing feature of Prandtl fluid model in peristaltic literature. The governing equations for the proposed Prandtl fluid model are derived in Cartesian coordinates system. Asymmetric channel have been taken into account for the present analysis. Longwave length and low Reynolds number assumptions have been utilized to simplify the problem. Regular perturbation method and shooting method were used to get the analytical and numerical solutions for velocity, stream function and pressure gradient. Some special cases of this problem are compared with the existing literature. The effects of physical parameters on the velocity, pressure rise and streamlines are examined by plotting graphs.

Key words: Peristaltic flow, Prandtl fluid model, asymmetric channel, perturbation solution, numerical solution.