Abstract
This study demonstrates how to control fluid flow in inclined and horizontal cavities. The equations governing the problem are established, including the two-dimensional nonlinear partial differential equations of energy, motion, and continuity. We use the successive implicit direction method (ADI) to numerically solve these equations. We discovered that the Rayleigh, Prandtl, Darcy, Eckert, and Reynolds numbers influenced the action of motion and energy equations. In addition to the effect of the problem's inclination angle. We solved this scheme by creating a computer program in MATLAB,we conclude that all equations can be solved to a stable state after a number of iterations, and at different angles 0, 30, and 90, the ADI method, as shown in the paper figures
