Heat Transfer Analysis for the Peristaltic Flow of Herschel–Bulkley Fluid in a Nonuniform Inclined Channel

Abstract

Abstract In this article, we have investigated peristaltic mechanisms in a two dimensional nonuniform channel filled with Herschel–Bulkley fluid. Problem is studied under the assumptions of long-wavelength and low-Reynolds-number approximation. The fluid flow is investigated in the wave frame of reference moving with the velocity of the peristaltic wave in a channel. Exact solutions for the velocity field, temperature profile, stream functions, and pressure gradient are obtained and illustrated graphically for different parameters of interest such as α (angle of inclination), τ (the ratio of yield stress), φ (amplitude ratio), Pr (Prandtl number), and Q (mean flow rate) etc.