Numerical Study of Hot Block on Rate of Natural Convection Heat Transfer inside a ⅂ Shape Cavity

Natural convection of a two-dimensional laminar incompressible fluid flow in a ⅂-shaped cavity with rectangular heating obstacle on the upper wall has been investigated by LBM. The present study has been carried out for different aspect ratio and various cases of position of obstacle on the upper wall in different Rayleigh number. Water is chosen as a working fluid. Hydrodynamic and thermal behavior of fluid in the presence of rectangular heating obstacle was analyzed in form of streamlines, isotherms and the average Nusselt number. Results based on this numerical study showed that the rectangular obstacle considerably affect the hydrodynamic and thermal behavior of fluid in a ⅂-shaped cavity. By the increasing Ra number and the height of the obstacle, an increase in the average Nusselt number appeared. By analyzing the resulting graphs and figures, in Rayleigh number of 106 and aspect ratio of 0.15, the best rate of heat transfer occurred. Also by analyzing the various cases of position of the obstacle toward the cavity, the maximum heat transfer rate was observed when the heating obstacle was located at Sx=0.4. Results of this research are useful for designing the efficient position of electronic components location in the cavities.