A significant wave form analysis on the peristaltic flow in a duct with convection and diffusion effects

Abstract

This study reports the different waveform analysis for heat and mass transfer in a duct. Three diverse wave types: sinusoidal, triangular, and square with the Casson fluid model are considered in this analysis. According to the supposition of low Reynolds number and long wavelength, the exact solutions of the constitutive equations (PDEs) for this considered flow phenomenon are yielded. Viscous effects have a significant impact on this study. The graphical illustration of the exact solutions is incorporated for a thorough assessment and validation of results. Streamlines and pressure gradient graphs highlight the impact of various waveforms considered. Finally, a comparability analysis is provided between the considered waveforms. The consideration of elliptic cross-section results in a better heat exchanger that is used for both cooling and heating purposes, the pressure gradient and streamline graphs show that there is a higher amplitude for the square waveform as compared to triangular and sinusoidal waveforms. These models are helpful in forming more efficient peristaltic pumps. Thus a higher flux can be expected for a square waveform.