Numerical simulation of nanofluid transportation due to MHD within a porous space

Influences of buoyancy and Lorentz forces on migration of CuO–H₂O have been scrutinized in this context. The space is porous and consists of hot sinusoidal wall and cold circular wall. Two insulated walls exist inside the chamber and direction of magnetic field is horizontal. In modeling of porous zone, temperature of matrix was analyzed and new equations for this scalar have been defined. To make the equations simpler, Ψ formulation was utilized and equations were solved via CVFEM. Homogeneous model for properties of nanomaterial was employed and radiative term was included in temperature equation. Contours of streamline, nanofluid and matrix temperatures were presented for various cases. The obtained data were summarized as formula for Nu. With rise of concentration of nano-powders, the strength of vortex increases and thickness of boundary layer decreases. Adding the radiation term makes the total flux to increase which provides higher Nu. As Nhs augments, Nu augments about 28.3%. Higher value of Lorentz causes Nu to decline by 76.37%. Nu augments about 167.84% and 49.68% with augment of Ra when Ha = 0 and 20. With augment of Rd, heat flux increase and higher Nu can be achieved.