Exploring the Synergistic Impact of Radiation and Heat Generation on Magnetohydrodynamic Nanofluid Flow through a Variable Darcy-Forchheimer Porous Medium

Flow through porous media has wide applications in industry. Many researchers investigated fluid flow over constant porous media, but porous media is not always constant. Thus, the main motive of the current investigation is to know the MHD flow of nanofluid through a variable Darcy-Forchheimer porous intermediate in a rotating disk. Additionally, heat generation and thermal radiation are used in the governing model. Buongiorno model of nanofluid are used. After the transformation of governing equations into ODE problems by some suitable similarity variables, we solve numerically through the R-K 4^th-order method with the help of shooting approximation. Engineering-interested coefficients are calculated in this article. The result shows that variable permeability and variable porosity have reverse behaviour for velocity profile, temperature profile as well as engineering coefficients. Overall, this article will help researchers in science and engineering to understand the flow behaviour through variable Darcy-Forchheimer magnetic porous medium.