MHD nanofluid flow over a rotating disk with partial slip effects: Buongiorno model

In this article, Von Kármán problem of infinite rotating disk is extended for the case where the space above the rough disk is equipped by an electrically conducting nanofluid. Buongiorno model is employed to incorporate Brownian motion and thermophoresis effects due to nanoparticles. Mass transfer process is accompanied with zero normal flux condition. Additionally, heat transfer mechanism is inspected through more general temperature jump conditions. Accurate similarity solutions are developed for full range of slip coefficients by means of standard shooting procedure. Also, a collocation based MATLAB routine is used for findings the solutions. The impact of parameters on the flow fields is depicted by plotting graphs. It is predicted that velocity distributions are inversely proportional to the magnetic field parameter. Velocity slip effect also presents opposition to the momentum transport and reduces hydrodynamic boundary layer thickness. It is also found that Brownian motion has negligible influence on the heat flux at rotating disk. Further, thermal and concentration boundary layer thicknesses are increased due to the existence of thermophoretic force. Axial velocity is negative due to the downward fluid motion caused by the disk rotation. The analysis for no-slip boundary can also be retrieved as a special case of the present model.