Three dimensional convective heat transfer in a cubic porous enclosure: Inclination and temperature oscillation frequency

Three dimensional unsteady natural convective heat transfer in an inclined cubic enclosure with porous medium is studied numerically. The right side wall (X = 1) of the enclosure is kept at a constant temperature of T₀. Temperature of the opposite vertical wall (X = 0) varies by sine law with a mean value of T₀ Other walls are kept adiabatic. A Brinkman-extended Darcy model is used to describe flow through porous medium in the enclosure and the equations are solved with SIMPLE algorithm. Inclination angle α₁ rotating around Y coordinate varies between 0° and 90°. Inclination angle α₂ rotating around X coordinate varies between 0° and 45°. Dimensionless temperature oscillation frequency f ranges from 5π to 90π. Effects of inclination angles and temperature oscillation frequency on heat transfer are studied in detail. It shows that the maximal heat transfer is achieved at an inclined angles α₁ = 46°, α₂ = 45° and a temperature oscillating frequency f = 45π.