Transportation of heat and mass in chemically reacted flow of third-grade model in the presence of heat generation/absorption and activation energy effects

Abstract

Numerous industrial and technical dynamic applications of non-Newtonian liquid flow research in thermal and process engineering are increasing every day, owing to their multifunctional relevance. The viscometric flow, heat and mass transfer of an incompressible third-grade liquid model across an exponentially inclined plate according to all of these potential implications are studied in this paper. The inclusion of elements such as mixed convection, heat sink/source, activation energy, thermal heat flux and chemical reaction improves the flow model’s novelty. Using the appropriate similarity transformations, the existing governing expressions are transmuted into nonlinear ordinary differential equations (ODEs). The resulting nonlinear ODEs are numerically solved via the Runge–Kutta (RK) technique in conjunction with a shooting strategy. The dimensionless parameters are graphically illustrated and discussed for the involved profiles. The viscosity of the liquid drops for increased fluid variable, which enhances the velocity field. The velocity profile is declined continuously throughout the boundary layer with increasing buoyancy ratio parameter. The thermal profile inclines for growing values of the radiation and heat source/sink parameters.