Similarity Solution of Double Diffusive Free Convective Flow Over a Moving Vertical Flat Plate with Convective Boundary Condition with Arrhenius Activation Energy

This study numerically explores double-diffusive free convection flow past both stationary and moving vertical flat plates, incorporating the effects of Arrhenius activation energy and a convective surface condition. Through similarity transformations, the governing partial differential equations are simplified into a set of nonlinear ordinary differential equations, which are then solved using the Runge–Kutta shooting technique. The influence of key dimensionless parameters, including the buoyancy ratio, Prandtl number, Schmidt number, activation energy, and Rayleigh number, on the velocity, temperature, and concentration distributions is thoroughly examined. The results indicate that an increased buoyancy ratio enhances fluid velocity but reduces both temperature and concentration levels. Additionally, higher values of Prandtl and Schmidt numbers lead to the suppression of thermal and concentration boundary layers. Activation energy is shown to elevate both velocity and concentration, with notable impacts on skin friction, Nusselt number, and Sherwood number. The outcomes align closely with existing literature and offer valuable insights for applications in thermal control, chemical processing, and energy-related systems.