Magnetohydrodynamic flow of Copper-Water nanofluid over a rotating rigid disk with Ohmic heating and Hall Effects

Abstract

In this article, a steady flow model is developed and analyzed for a water-based nanofluid that is generated by a rigid circular disk undergoing uniform rotation. Copper nanoparticles have been used for the analysis. Region over the plate is considered porous possessing uniform porosity whereas a uniformly impinged magnetic flux is assumed in the axial direction. Considerations of Hall currents and Ohmic heating are undertaken. To simplify the problem at hand, similarity transformations are utilized to transform it into a set of ordinary differential equations (ODEs), which can be more easily solved. Additionally, no-slip conditions are enforced at the boundary of the rigid disk. Numerical solutions for resulting nonlinear system are obtained via shooting method and are presented graphically for the detailed analysis. Results indicate that for magnetohydrodynamic flow with Hall effects through a porous medium, there is a direct proportion between axial velocity and volume fraction of copper-nanoparticles. Also, as the concentration of nanoparticles in the nanofluid increases, there is a corresponding increase in the temperature of the fluid. Additionally, at higher values of the Hall parameter, the impact of the Hartman number on flow variables is reduced.