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This research work is focused on nonlinear mathematical model of non-Newtonian Casson fluid using Runge-Kutta method via shooting technique. The solutions to the momentum velocity profiles, heat transfer energy and mass transfer concentration profiles are carried out. Applying similarity transformations, the partial derivative model is transmuted to ordinary derivative equations and then solved utilizing shooting scheme combined with Runge-Kutta integration technique by a mathematical software MAPLE. The graphical results are plotted for various physical parameters under different effects. Also, the computed outcomes are compared with earlier published works and found that there is a good correlation between them. The outcomes show that radiation and magnetic field increased heat distribution and reaction index induced Casson reacting species. An enhancement in the Dufour number leads temperatures to accelerate and also leads to system blow-up if not appropriately managed. Further the Soret number yields higher distributions of solutal density. The recent research explores the cumulative aspects of various physical applications on the non-Newtonian Casson liquid over a vertical surface, which has impressive technical and industrial science characteristics.

international journal of modelling and simulation

Significance of cross diffusion and uneven heat source/sink on the variable reactive 2D Casson flowing fluid through an infinite plate with heat and Ohmic dissipation