Natural Convection From a Single Surface Heater in a Vertical Rectangular Enclosure.

Document Type : Research Studies

Authors

Mechanical Power Engineering Department., Faculty of Engineering., El-Mansoura University., Mansoura., Egypt.

Abstract

Natural convection in a heated two-dimensional rectangular vertical enclosure is investigated numerically and experimentally for different single heater configurations. The partial differential equations governing the conservation of mass, momentum-order the Boussinesq assumption-and energy in the problem are solved numerically using the finite difference technique. The study is carried out for the steady laminar natural convection of air in a vertical enclosure with constant heat flux single heater at one adiabatic insulated vertical wall an isotherinally cooled opposing vertical wall and insulated horizontal walls. The range of parameters considered is pr=0.7.W/L=2, Ra≤107, and A=2.5, 0.L≤S≤H≤0.9 for the effect of heater location and S/H=0.4, H/L=2.4.6 and 8 for the effect of heater size, The results show great effect of the heater location and size on the flow and temperature distribution inside the enclosure and heat transfer from it. A best range of heater location and heater size corresponding to maximum heat transfer and minimum value of surface heater maximum temperature is determined by 0.1≤S/H≤0.5 AND h/l≥4 with correlations as follows:
0max=1.792 Ra0.18, Ṅu=0.74 Ra0.17
Experimental tests were conducted for the case of A=2. H/L=0.5, W/L=1.66 and Ra=7x104, 4.4x104 and 6.4x105 and 6.4x105. The experimental surface temperature and local Nusselt number were compared with the calculated results for the same case to show the validity of the numerical simulation

Main Subjects