Analysis of heat and mass transfer on the peristaltic flow in a duct with sinusoidal walls: Exact solutions of coupled PDEs

Abstract

This research article uncovers a novel mathematical model that interprets the peristaltic flow in elliptic duct with heat and mass transfer for the first time. A unique mathematical technique is introduced in this study that provides exact analytical solutions for partial differential equations. The Cartesian coordinate system is used in the present analysis and the non-circular form of duct is attained by considering equation of ellipse in the boundary conditions. The temperature, concentration and velocity profile are exactly computed and analyzed through graphical results. The axially symmetric flow behaviour is revealed by the graphical outcomes. Concentration, velocity and temperature profiles have parabolic shapes and axially symmetric behaviour.

Keywords

• Peristaltic flow
• Elliptic duct
• Heat and mass transfer