A stochastic numerical analysis for viscoelastic fluid traversing a permeable perpendicular surface

This research endeavors to fill the existing void by performing numerical analysis of the behavior of Maxwell fluids on perpendicular surface embedded within porous medium, both chemical reactions and thermal generation taking into account. The study additionally encompasses thorough analysis of mass and energy transfer mechanisms integral to (MHD) magneto hydrodynamic Maxwell fluids. The PDEs, partial differential equations, obtained through the problem have been changed into ODEs, ordinary differential equations, by applying specific similarity transformations. Transformed equations have then resolved using bvp4c solver within the MATLAB bvp4c function. To check validity of bvp4c function Levenberg Marquardt algorithm through backward propagation has been applied. The results have compared and contrast graphically with the effects of physical parameters emerging the mathematical model, such as chemical reactions, energy production and Deborah number parameters on temperature, velocity, and concentration, presenting the results in graphical format. Sherwood numbers and skin friction coefficients exhibit an upward trend with increased chemical reaction intensity, whereas local Nusselt numbers show a decline as chemical reactions become more dominant. Through examination of Maxwell fluid flow with chemical reactions, this study aids in optimizing processes, improving product quality, and offering more profound understanding of dynamics of complex fluids in practical applications.