Effects of Heat Source and Thermal Radiation on MHD Casson and Williamson Nanofluid Flow in a Porous Media

A non-Newtonian Casson-Williamson nanofluid flow's mass and heat transport characteristics were examined in this study. We investigate how the velocity boundary condition and viscous dissipation impact the mass and heat transfer mechanism in the presence of a stretching sheet immersed in a porous material that generates heat in response to thermal radiation and a uniform magnetic field. Casson-Williamson nanofluid is assumed to have constant physicochemical properties. As the nanofluid particles flow through the system, their concentration is studied in relation to the chemical consequences. This physical problem is quantitatively modelled using a series of boundary-conditioned nonlinear partial differential equations. By combining the Runge-Kutta method with the shooting methodology, we were able to numerically solve the differential equations with the associated boundary conditions. Next, the numerical analysis is shown graphically to demonstrate how different controlling parameters affect concentration, temperature, and velocity. Without a magnetic field, the non-Newtonian nanofluid moves more quickly than with one, while the temperature field shows the reverse tendency. The rate of heat transfer decreased while the skin-friction coefficient rose with an increase in the porosity parameter.