In this research, the Buoyancy heat transfer and flow patterns in a partially
divided square enclosure with staggered partitions have been studied numerically.
The partitions were distributed on the lower and upper surfaces of the box in
staggered manner. The height of the partitions was varied. The conduction heat
transfer through the fins (partitions) was also included. It is assumed that the
vertical walls of enclosure were adiabatic and its horizontal walls were maintained
at uniform but in different temperature. The problem was formulated in terms of
the stream function-vorticity procedure. The numerical solution based on the
transformation of the governing equations by using finite difference method was
obtained. The effect of increasing the partition height and Rayleigh number on
contour maps of the stream lines and temperature were reported and discussed. In
addition, the research presented and discussed the results of the average Nussult
number of the enclosures heated wall at various Rayleigh number and
dimensionless partition heights. The results showed that the mean Nussult number
increases with the increasing of Rayleigh number and decreases with the
increasing of partition heights. The distributed heat by conduction through the
partition increases with the increasing of the partition height especially at
(H/L ≥ 0.3). A comparison between the obtained results and the published
computational studies has been made and it showed a good agreement with
percentage error not exceed (0.54%).