Magnetic field effect on nanofluid suspension cavity by non-uniform boundary conditions

The study indicates the numerical simulation of porous media in a square cavity of two dimension. The natural convection in a non-uniform temperature of right and bottom wall as constant hot and cold temperature whereas the left and top walls are sinusoidally heated with no phase angle in top wall. The formulation of stream function-vorticity method from the governing equation are solved using finite difference method. The local Nusselt number, streamlines and isothermal flows are carried out by varying the Darcy number, Hartmann number, Amplitude ratio and phase angle. The validation of code is good agreement with previous published works. The increase in magnetic field decreases the heat transfer rate and increase in amplitude ratio increases the local Nusselt number. The change in phase angle also alters the heat transfer rate. The increase in Darcy number have more effects on natural convection which shown in streamlines and isothermal flows. The maximum value of stream function decreases by increasing the Hartmann number.