Heat transfer and surface roughness analysis via peristaltic pumping of viscous fluids through diverging tube

Abstract

Peristalsis is natural pumping mechanism which is propelling the natural fluids through physiological systems, and it’s important to note that surfaces are rarely perfectly smooth in these contexts. Surface roughness is key factor of the most of the surfaces/medium which affects the fluid flow and heat transfer through surface/medium. This study is primarily concerned with investigating the impact of surface roughness and heat transfer through peristaltic pumping of viscous fluids through a divergent tube. The governing equations used in this study are based on the suitable assumption for physiological transport, i.e. low Reynolds numbers and long wavelengths. To understand the physical behaviors related to velocity, pressure difference, stream function, heat transfer rates, entropy generation and isotherms with different levels of surface roughness, an analytical approach followed by the MATLAB coding has been adopted and graphical results have been illustrated. It is revealed that surface roughness reduces the fluid velocity however the entropy generation increases with high surface roughness. This research contributes to better understanding of fluid dynamics and heat transfer within biological organisms and has significant implications for a wide range of industrial and medical applications.