Significance of solar radiation and magnetic dipole impact on micropolar ferromagnetic fluid flow via an extending surface using finite element approach

The Galerkin finite element approach is utilized to examine the significance of magnetic dipole and solar radiation on the dynamic of micropolar ferromagnetic fluid due to extending stretch surface. The magnetic field and the significant power of magnetic dipole help to stabilize the magnetized nanoparticles inside the fluid. The solid nano‐sized particles are incorporated due to enhanced host fluid thermal conductivity, which plays a significant role in heat exchangers, modern nano‐technology, electronics chips, and materials sciences. In the present elaborated problem, with the aid of similarity transformation, the partial differential formulation is transformed into a set of dimensionless ordinary differential equations, and finds a numerical solution via finite element discretization. The detailed parametric study corresponding to various physical conditions is carried out to reveal that incremented ferromagnetic interaction variable recedes the flow speed, but it grows the thermal and microrotation distributions, and the decline in temperature is observed with the increment of ratio, viscous dissipation, and curie temperature parameters. The reliability of the Matlab code and validity of the solution has been tested with already available literature data and see a good comparison of current results.