Unsteady Hydromagnetic Flow Of A Nanofluid In The Presence Of Inclined Magnetic Field In A Porous Media

Abstract

The unsteady hydromagnetic flow of a nanofluid in the presence of an angled magnetic field in porous media is investigated, with consideration given to the effect of the nanofluid’s viscosity variation parameter. The governing partial differential equations are obtained and transformed into dimensionless form by employing dimensionless quantities. Because of its stability, consistency, and high convergence rate, the finite difference approach is used to derive the numerical schemes of transformed partial differential equations, in line with the Crank-Nicolson method. The study subsequently examined at how dimensionless numbers, a viscosity variation parameter, and the magnetic field’s inclination angle affected velocity and temperature profiles. The results show that raising the Reynolds number and magnetic parameter increases the velocity profiles of the nanofluid, whereas increasing the permeability parameter reduces the velocity of the nanofluid.

Higher Reynolds, Eckert, and Prandtl numbers lead to larger temperature profiles of the fluid flow. Moreover, study found that increasing the viscosity parameter and magnetic field inclination angle can accelerate fluid flow velocity profiles. In addition, the temperature profiles of the fluid flow grow with the viscosity parameter and the angle of inclination of the magnetic field. The current findings are consistent with previous research, indicating their correctness and validity.