Theoretical and experimental investigations of free convection through a cubic cavity with sinusoidal heat flux at bottom wall, the top wall is exposed to an outside ambient while the other walls are adiabatic saturated in porous medium had been approved in the present work. The range of Rayleigh number was and Darcy number values were . The theoretical part involved a numerical solution while the experimental part included a set of tests carried out to study the free convection heat transfer in a porous media (glass beads) for sinusoidal heat flux boundary condition. The investigation enclosed values of Rayleigh number (5845.6, 8801, 9456, 15034, 19188 and 22148) and angles of inclinations (0, 15, 30, 45 and 60 degree). The numerical and experimental results showed the effect of Rayleigh number and angles of inclinations on the temperature profile besides local Nusselt number. The temperature distribution values was unaffected strongly by the inclination angle for all studied range of values of Rayleigh number. Comparison was made between the present experimental and numerical results. The experimental and numerical temperature profile and Nusselt number follows the same behavior but is approximately with mean differences of and respectively.
In order to serve the field of knowledge in the field of design and analysis of experiments by adopting formulas and methods that are easy and simple in arithmetic work, especially in experiments that require many calculations for squares, including tests of type