Laminar natural convection has been studied in enclosures bounded by a
solid wall with its outer boundary at constant temperature while the
opposing side has a constant heat flux. Two-dimensional equations of c
onservation of mass, momentum and energy, with the Boussinesq approxim
ation are solved using a finite difference method. The numerical proce
dure adopted is based on the SIMPLER algorithm. Various parameters wer
e: Rayleigh number (from 10(3) to 10(6)), dimensionless conductivity o
f bounding wall (from 1 to 10) and dimensionless wall width (from 0.15
to 0.5), aspect ratio (from 0.5 to 1) and the inclination angle (from
30 degrees to 180 degrees). The results are reduced in terms of the n
ormalized Nusselt number as a function of the Rayleigh number, and oth
er dimensionless parameters. The isotherms and streamlines are produce
d for various Rayleigh numbers and geometrical conditions. It is found
that the heat transfer is an increasing function of the Rayleigh numb
er, wall to fluid conductivity ratio, enclosure aspect ratio and a dec
reasing function of the wall thickness. It passes from a maximum for t
he inclination angle of about 80 degrees.