A vorticity based theory for the computation and analysis of the aerodynamic force in steady and unsteady compressible flows is presented. It is the extension of a recent decomposition developed for incompressible flows. The breakdown in reversible and irreversible contributions is presented and a comparison with an unsteady thermodynamic drag breakdown is discussed. In particular, two physically completely different flows are analyzed: a pitching airfoil in subsonic flows and an airfoil natural buffet. A sensitivity analysis of the vortical method on the total force computation is presented. Then the breakdown results are compared and discussed.