Asian Journal of Pure and Applied Mathematics

The current study examines how mass and heat transfer mechanisms in air convection across a vertical plate are affected by highly nonlinear heat radiation and Arrhenius chemical reactions. Using the Boussinesq approximation, we were able to predict the nonlinear behavior of density fluctuations dependent on concentration and temperature. Through the use of similarity transformation, we were able to convert the nonlinear incorporated partial differential equation controlling the flow of fluid in the boundary layer into a nonlinear incorporated ordinary differential equation. A boundary value issue was then converted to an initial value problem using the shooting approach. The ensuing initial value issue was solved using MAPLE 24 and the fifth-order Runge Kutta algorithm. At elevated chemical reaction parameters, the thermal boundary layer thickens and the momentum and concentration boundary layers thins, as a result of radiative heat flux enhancing thermal energy within the boundary layer, which in turn reduces fluid viscosity and modifies the velocity profile. Even while heat transmission between the plate surface to the stream-free zone decreases, the rate of mass transfer inside the boundary layer increases as the chemical reaction parameters do. The relative temperature and thickness of the concentration of the boundary layer are both reduced as a consequence of Arrhenius chemical reaction parameters. The thickness of the thermal boundary layer that exists along the surface of the wall is also increased due to internal heat production. There is a strong relationship between the flow and the Eckert number as well as nonlinear density change.