Numerical investigation of magnetized nanofluid flow in a non-Darcian medium with convective heating conditions across a rotating disk

Purpose A novel approach of Buongiorno and Arrhenius energy models is proposed to examine magnetized nanofluid flow saturated in a non-Darcian medium with convective boundary conditions over a rotating disk. The proposed work has substantial applications in the domain of Heat Transfer within industrial operations, including power plants, electronic devices and nuclear reactors. It also pertains to the design of energy-efficient systems, rotating machinery and equipment such as centrifugal pumps, turbines and rotating heat exchangers. It is also pertinent to environmental engineering, which deals with fluid filtration and thermal management, and biomedical engineering, which includes drug delivery systems and the treatment of hyperthermia. It also discusses applications of magnetic fields, such as magnetorheological fluids, magnetic refrigeration and magnetic cooling systems. Design/methodology/approach The Von Karman’s methodology is used to develop a mathematical formulation. The resulting series of nonlinear differential equations are solved by generalized differential quadrature (GDQ) technique. The Newton–Raphson iterative method is used to get numerical solutions. Findings Effects of evolving parameters such as radial velocity, azimuthal velocity, transverse velocity, thermal and concentration patterns are examined through graphs and tables. The outcomes of skin friction coefficient, Nusselt number, Sherwood number and residual error are also presented. A comparison with the existing literature has been made as a special case for the validation of results. Originality/value A blend framework of Buongiorno and Arrhenius energy models for magnetized nanofluid flow across a uniformly rotating disk inside a non-Darcian structure with convective boundary conditions is presented.