Natural convection heat transfer in enclosed horizontal N X N arrays (
N = 3, 5, and 7) of electrically heated rods,vith a pitch-to-diameter
ratio (P/d) of 1.35 has been experimentally investigated. Each array w
as positioned in an isothermal square enclosure with a width-to-diamet
er ratio (W/d) of 20.6. Pressurized air or helium was used as the work
ing fluid. It was observed that the bottom-row rods were relatively in
sensitive to increases in the array size, as they exhibit only slight
temperature variations, but the top-row rods demonstrated substantial
temperature increases. Natural convection correlations in the form of
Nusselt number (Nu(d)) as a function of modified Rayleigh number (Ra-d
()) were obtained for each rod in each array. The correlations cover
three flow regimes of conduction, transition, and convection in the ra
nge of 6.45 < Ra-d() < 3.08 X 10(5). A generalized enclosure Nusselt
number was correlated as a function of enclosure modified Rayleigh num
ber and the array size (N). Comparison of the data with previous numer
ical prediction showed that this correlation may be readily used to ob
tain a conservative estimate of the maximum temperature in the arrays
with N = 3, 5, 7, and 9.