Peristaltic Transport of Ellis Fluid under the Influence of Viscous Dissipation Through a Non-Uniform Channel by Multi-Step Differential Transformation Method

Abstract

The current work is investigating the influence of viscous dissipation on Ellis fluid in peristaltic flow through a rough non-uniform channel. The non-linear relationship between shear stress and strain rate is demonstrated by the Ellis liquid model. Dissipation is the process of converting downward-flowing water's mechanical energy into thermal and acoustic energy. Using appropriate non-dimensional parameters, the governing equations are transformed into conventional non-linear partial differential equations. The Multi-Step Differential Transformation Method is used to find solutions to developing equations. Velocity near the center of the channe l enhances with rising an Ellis fluid parameter, on the contrary, it follows the inverse trend near the channel wall. Temperaturedistribution diminishes when there is a rise in Brinkman number. Temperature distribution enhances when there is a rise in Ellis fluid parameter. As an Ellis fluid parameter rises the concentration profile diminishes. Soluta l concentration profile in peristaltic pumping increases by rising the values of Brinkman number. The influence of surface roughness in flow of physiological liquids is much helpful in understanding differe nt problems related to blood transport in coronary arteries. surface roughness attracted the interest of scientist in chemical engineering to understand the significance of roughness of wall formed as a n effect of chemical erosion during flow of chemicals. Graphs depict the influence of several parameters on velocity, concentrations, temperature, and streamlines.