Dynamics of ferromagnetic due to nonlinear thermal buoyancy when Cattaneo–Christov heat flux and magnetic dipole whose magnetic scalars are significant

Abstract

The fluid flow and heat transfer characteristics under magnetic dipole with non-Fourier flux are useful in understanding practical significance for undersea applications, for example, managing transference and/or separation of the boundary layer above submerged blocks and in suppressing recirculating bubbles. The heat transfer features of a ferromagnetic fluid were numerically analyzed over an elastic elongating surface convectively heated. Over a flexible body at the boundary, a partial Casson slip is considered. To balance the heat transition, the radiative and non-Fourier flux are combined in the energy. Similarity modifications are utilized to transform the partial differential equations (PDEs) from linear momentum and traditional energy equations into ordinary differential equations (ODEs) that are nonlinear. By the shooting method, numerical solutions to these equations are obtained. The results of various related physical parameters are studied, including ferromagnetic activity, dimensionless velocity slip, Biot number, thermal radiation, thermal slip, temperature and velocity area instability. The surface friction and the number of Nusselt are also measured for and at separate embedded parameters.