Effects of Hall and Heat Transfer on Peristaltic Transport of a Johnson - Segalman Fluid in a Channel

摘要

In this paper, we modeled the Hall and heat transfer effects on the peristaltic flow of a Johnson-Segalman fluid in a two-dimensional channel. The flow is investigated in a wave frame of reference moving with velocity of the wave under the assumptions of long-wavelength and low-Reynolds number. A Perturbation solution for small Weissenberg number is obtained for the axial velocity, axial pressure gradient and pressure rise per one wavelength. The effects of various emerging parameters on the pressure gradient, temperature and pumping characteristics are discussed in detail.