Heat Transfer in A Non-Uniform Channel Under the Action of Peristalsis

Abstract

An analytical study has been carried out on the heat transfer for motion of a viscous, incompressible Newtonian fluid. Sinusoidal waves travel through a two-dimensional, non-uniform channel. The governing equations are simplified under the assumption of long wave length and low Reynolds number. In this connection, the appropriate variables have been used to obtain the system of ordinary differential equations. The perturbation approach is used to achieve a numerical solution in terms of the small parameter ‘d/λ’. The graphic results are obtained using MATLAB. Temperature and heat transfer have been analyzed, and the numerical findings are provided. The impact of relevant factors (Prandtl number, Eckert’s number, Reynolds number, wall slope parameter, and amplitude ratio) on temperature has been examined.