Using air as the working fluid, natural convection heat transfer in a
uniform wall temperature convergent vertical channel has been investig
ated numerically. The investigation encompassed half angles of converg
ence between 0 degrees (parallel-walled channel) and 10 degrees and th
e solutions were performed for (S/L) Ra-s range of 1 to 2 X 10(4). In
order to find a correlation format which will merge the convergent cha
nnel results for low Rayleigh number ranges (Ra' < 10(2)) with those f
or the parallel-walled channel ones, the minimum (S-min), mean (S-avg)
, and maximum (S-max) interval spacing between channel walls were used
as characteristic dimensions. It was found that merging was best achi
eved by the use of maximum interval spacing (S-max) as the characteris
tic dimension. These numerical findings agree with those for high Rayl
eigh number ranges (Ra' > 10(2)) reported in the literature.