Heat Transfer to Peristaltic Transport in a Non-Uniform Channel

Abstract

The problem of heat transfer for the motion.of a viscous incompressible fluid induced by travelling sinusoidal waves has been analytically investigated for a two-dimensional non-uniform channel. Assuming that the wavelength of the peristaltic wave, A., is large in comparison to the mean half width of the channel, d, .a perturbation solution in terms of the small parameter, dlA., has been obtained. Closed form expressions for velocity, temperature and coefficient of heat transfer are presented up to second order. The effects of several pertinent parameters on temperature and heat transfer have been studied and the numerical results obtained are presented.