Steady state free convection heat transfer in a two dimensional trapezoidal
enclosure filled with a fluid-saturated porous medium with a square solid body
located at the center of cavity, is performed in this study. The bottom wall of the
cavity was heated with a sinusoidal temperature distributionq = l(1 - cos( 2pX )) ,
the inclined walls are insulated (adiabatic) and the top wall is maintained at q = 0.
To obtain the effects of the presence of a square body on heat transfer and fluid
flow inside the enclosure, three different temperature boundary conditions were
applied for the body as cold ( θbody=0) , heated (θbody=1) and adiabatic ( = 0)

q at
different Ra numbers. In this study, the governing equations were solved
numerically using finite element software package (FLEXPDE). Results for the
mean Nusselt number, Num, the contour maps of the streamlines and isotherms are
presented. It is observed that fluid flow and temperature fields strongly depend on
thermal boundary conditions of the body. A comparison of the flow field, isotherm
field and averaged Nusselt number, Num with previous work, which revealed a
good agreement.