Thermal Diffusion and Diffusion Thermo Effects on Axi-Symmetric Boundary Layer Flow of Nanofluid Due to Non-Linear Stretching Sheet along the Radial Direction in presence of Magnetic field

This work presents the results of numerical research that was conducted on the flow of axisymmetric nanofluids through a nonlinearly stretched sheet in the radial direction while a magnetic field influence was present. This model of a nanofluid demonstrates the presence of both the Brownian motion and the thermophoretic nanoparticle diffusion effects simul-taneously. When calculating the flow, both the Dufour effect and the Soret effect are taken into consideration. The conservation of energy, species, and momentum is represented by the equations for this process. The transformation of partial differential equations can be achieved by utilizing similarity conversions. These equations take into account all of the thermophysical char-acteristics. Therefore, a feasible solution may be found in the Runge-Kutta approach. Graphic representations of the profiles for velocity, temperature, and concentration, along with evaluations of a few other parameters, are shown When compared to some of the earlier studies, the R-K code's validity is shown to be beyond question. Brownian motion((Nb) and Dufour effect(Du) lead to an increase in the temperature gradient. The results provide some insight into how the nanofluid is used in various com-mercial endeavors.