Investigation of Soret and Dufour Effects on Chemically Reacting Free Convective Fluid Flowing Over a Vertical Plate Along with Viscous Dissipation Using the Laplace Adomian Decomposition Method

Abstract

This study comprehensively analyses heat and mass transfer phenomena in a chemically reacting free convective fluid flow along a vertically moving plate. The flow is influenced by thermo-diffusion, diffusion-thermo, and viscous dissipation effects. To simplify the analysis, scaling group analysis and appropriate similarity transformations are used to transform the governing equations into nonlinear ordinary differential equations. These equations are then solved using a combination of Laplace transform and the Adomian decomposition method. The study conducts a parametric investigation to explore the impact of various control parameters on the dimensionless velocity, temperature, and concentration profiles. The parameters considered include the Prandtl number, Schmidt number, Eckert number, chemical reaction parameter, Soret parameter, Dufour parameter, solutal Grashof number, and thermal Grashof number. These parameters are depicted graphically and analysed quantitatively. The results reveal that an increase in the Schmidt number leads to a decrease in velocity and concentration profiles while temperature varies monotonically. Elevating the Eckert number enhances velocity and temperature profiles, with a slight decrease in concentration profiles. A rise in the Prandtl number decreases the temperature profile, with minimal effects on velocity and concentration profiles. Increasing the solutal Grashof number decreases temperature and concentration profiles, whereas the thermal Grashof number is directly proportional to the velocity profile. An increase in the Dufour parameter boosts velocity and temperature profiles while reducing the concentration profile. The presence of the Soret parameter increases velocity and concentration profiles but decreases the temperature profile. This study aims to enhance comprehension of the complex interactions within flow characteristics, providing valuable insights into the fundamental mechanisms of such systems. It also highlights their potential applications in various engineering and industrial processes.