MHD Effects for a Rotating Nanofluid Layer for LTNE Model

Rayleigh-Benard convection of a rotating nanofluid layer under local thermal non-equilibrium model in the presence of magnetic field is investigated. The impact of external applied forces rotation and magnetic field are exhibited by introducing Coriolis force term and Lorentz force term in the momentum equations along with the Maxwell's equations. For considering the impact of local thermal non-equilibrium between the fluid and particle phases; a two-temperature model has been considered. The problem is analysed by making use of the normal mode technique and one term approximation of Galerkin type weighted residual method. Due to thermal non-equilibrium three additional parameters Nield number, modified thermal capacity ratio, modified thermal diffusivity ratio and due to the presence of rotation and magnetic field Taylor number and Chandrasekhar number are introduced. The impact of these parameters on thermal Rayleigh number has been found analytically as well as numerically and presented graphically.