Numerical analysis of transient laminar threedimensional
buoyancy-driven convection in an inclined threedimensional
trapezoidal air-filled enclosure was investigated in
this paper. The right and left sidewalls of the enclosure are
kept at constant cold temperatures. The bottom wall is
maintained at a constant hot temperature , while the top wall is
considered adiabatic. Numerical investigation is performed for
Rayleigh numbers varied as 103 ? Ra ? 105 , while the
trapezoidal enclosure inclination angle is varied as 0° ? ? ?
180°. Prandtl number is considered constant at Pr = 0.71. Flow
and thermal fields are presented in both two and threedimensional
pattern. Also, both local and average Nusselt
numbers are calculated and discussed. The results show that
when the Rayleigh number increases, the flow patterns are
changed especially in three-dimensional results and the flow
circulation increases. The minimum average Nusselt number
inside the trapezoidal cavity corresponds to the highest
inclination angle [i.e.,? ?180? ].While, the average Nusselt
number reaches its maximum value at ? ? ? 30 . Moreover,
when the Rayleigh number increases the average Nusselt
number increases as expected.