Unsteady peristaltic transport in curved channels

Abstract

The paper presents a generalized mathematical model describing the unsteady peristaltic flow of a viscous fluid in a two-dimensional curved channel. The flow is investigated in a laboratory frame of reference and the unsteady flow nature is studied by the condition that prescribing volumetric flow rate is equivalent to prescribing normal velocity of the fluid particles at the wall. The momentum and energy equations have been linearized by employing lubrication theory and the analysis is restricted to negligible flow Reynolds number. The expressions for stream function, pressure distribution, shear stress, temperature, and coefficient of heat transfer have been derived. The obtained expressions are utilized to discuss the influences of various emerging parameters on flow phenomenon.