FORCHHEIMER, NON-BOUSSINSEQ NATURAL CONVECTION IN POROUS MEDIA FILLED ENCLOSURE

In this work the Forchheimer, non- Boussinesq natural convection heat transfer of water around 4 degrees C. is analyzed, the following dimensionless parameters are found to describe the problem which are namely the modified Rayleigh number (Ra-w), the inclination angle (Phi), the aspect ratio of the enclosure (A), and the exponent for non-Boussinesq-approximation (n). It was found that the increasing of the modified Rayleigh number Raw increased the mass flow rates and the buoyancy forces and consequently increases the mean Nusselt number, it was found also that the increasing of the value of the exponent for nonBoussinesq-approximation (n); which physically means a non-linear temperature - density relationship, caused the mean Nusselt number and the dimensionless stream function to decrease to reach their minimum values at n= 2, this is due to smaller temperature difference and consequently smaller buoyancy forces. The inclination angle (Phi), has a certain effect on heat transfer and fluid flow as the maximum heat transfer rate is obtained at inclination angels around Phi= 30 degrees-60 degrees (Presented at the AIGE Conference 2015)