Numerical Solution of the Problem of Heat Transfer by Convection

In this paper we have presated a heat transfer by convection in rectangular cavity filled with static fluid. Differentially heated end vertical walls. Two-dimensional motions are assumed. The governing vorticity and energy transport equations are solved by an alternating direction implicit finite- difference method. We transference heat equation into two finite- difference equations. The time interval has been deviled into two equal halves, alternating to compute an intermediate point in the first step and final value at T time. We get by result analysis, that we can reach the steady state from Un steady state after some iteration.