Abstract
The current pagination is devoted to offering the untapped features of non-Newtonian rotatory magnetized fluid flow over the solid disk. The said non-Newtonian fluid model is a Powell-Eyring fluid model. The flow field is further carried with suspended nanoparticles with velocity slip effects. The strength of the article is a complex mathematical modeling subject to physical effects mentioned before, and the computational results are provided through the self-coded algorithm rather than to move on with the usual built-in scheme. To make the implementation possible, the obtained flow-narrating system is converted into a system having fewer independents. The key involved parameters are Powell-Eyring fluid, magnetic field, velocity slip, thermophoresis, and Brownian motion parameters. The dependent quantities namely axial, tangential velocities, temperature, and concentration are examined against flow-controlling parameters. The obtained outcomes in this direction are offered by means of graphical trends. It is noticed that both axial and radial velocities possess direct relation with Power-Eyring parameter (M). The Powell-Eyring fluid temperature is an increasing function of the thermophoresis parameter. Furthermore, the Powell-Eyring concentration enhances significantly toward the higher values of the Brownian motion parameter.