Analytical approach to parabolic flows along with inclined plate with uniform diffusion of mass

This article investigates fluid flow over an infinite inclined plate with uniform mass diffusion, incorporating the effects of chemical reactions and parabolic motion while maintaining constant temperature and concentration at the plate. The flow is modeled through partial differential equations and framed with appropriate initial and boundary conditions. Using non-dimensional variables, the equations were transformed, and the Laplace transform method was employed to obtain solutions for the dimensionless heat, velocity, and concentration profiles. Analytical expressions for these profiles were derived using complementary error and exponential functions. Results were illustrated through MATLAB-generated graphs, enabling the analysis of velocity, temperature, and concentration profiles under varying parameters to explore their physical characteristics.