Magneto-convection of nanofluids in a lid-driven trapezoidal cavity with internal heat generation and discrete heating

The present work investigates numerically the effect of an inclined magnetic field on the mixed convection flow in a trapezoidal enclosure in the presence of internal heat generation or absorption. The trapezoidal enclosure is filled with water-based nanofluid containing copper nanoparticles. Both the inclined left and right walls are adiabatic. A heat source with constant heat flux placed on the bottom wall of the enclosure and the remaining portions are thermally insulated. The top wall of the enclosure is maintained at a constant low temperature and is moving with a constant speed in its own plane from left to right. The governing equations are discretized by the control volume method and are solved numerically by the SIMPLE algorithm. A parametric study is performed and a set of graphical results is presented and discussed to demonstrate the interesting features of the solution.