NUMERICAL ANALYSIS OF UNSTEADY NATURAL CONVECTION IN SQUARE CAVITY FILLED WITH A POROUS MEDIA

Abstract

Numerical Analysis of Unsteady Natural convection in square cavity filled with a porous media studied in this paper. The left vertical wall preserves the constant high temperature Th , and the right wall preserves the constant low temperature Tc and both the horizontal walls are insulated . The alternating –direction implicit method ( A.D.I ) is used to solve the non-dimensional governing equations, and finite differences method devoted to Nussele numbers and the horizontal and vertical velocity flow . The results are obtained for the initial transient start up to the steady state, and for Rayleigh number( ). It is observed that the results for average Nusselt number showing an undershoot during the transient period and that the time required to reach the steady state is longer for low Rayleigh number and shorter for high Rayleigh number.ٌِ