The results obtained here model free convection air flow within a two dimensional rectangular cavity heated from below. The initial conditions are taken as zero flow while the top and bottom walls are maintained at different temperatures and the side walls are insulated from the surroundings. The equations are integrated in time until steady state conditions are obtained.
Interest here is in the steady state solutions rather than the transient results.
As a result, convective motion arises. For this project, attention is given solely to Rayleigh numbers above 1708 where such fluid flow occurs. Information on fluid flow and heat transfer has been realized over the years from both measurements and calculations. In the forgoing results, when available, I compare the solutions of experimental data received from published sources with the numerical results I have obtained. This procedure enables me to validate the accuracy of my results, and the correctness of the method by which I have obtained them.