Heatfunction Analytics of Conjugate Natural Convection Heat Transfer in Partitioned Enclosure Filled with Hybrid Nanofluid Under Magnetic Fields

Abstract

The need for suitable control of fluid flow and heat transfer for an enhanced performance has led to the use of magnetic field, appropriate design and sizing of the device and the right choice of the flow governing parameters for many industrial processes. This study investigates the effects of uniform magnetic field on the heat flow induced by buoyancy in a square enclosure partitioned into two cavities with a conducting solid body. The cavities are filled with the hybrid nanofluid composed from water and equal proportion of Cu and Al2O3 nanoparticles. The problem is analysed numerically by solving the momentum, energy and heatfunction equation with the finite difference method. The governing parameters including the Rayleigh, Ra, and Hartmann, Ha, numbers, solid concentration of the hybrid nanoparticles, , and the ratio of the thermal conductivity of the hybrid nanofluid to that of the solid conducting partition wall, k* are altered in the range of and respectively. The results show that the average heat function in the left cavity reduces with Ra and Ha while the overall fluid and heat flow are enhanced with the increase in the Ra and k* and retarded by increasing the Ha. The results of this work can be used as baseline data for the design and appropriate sizing of the heat transfer devices.