Two-Pressure Two-Phase Flow

this paper, we present three new results. The first is a new closure theory for all of the interface averages that couple the individual phases, generalizing a previous result for the average interface velocity. The major physics assumption underlying this closure theory is clearly identified: an absence of length scales beyond those contained in the primitive variables which define the interface average. The second result is a closed form solution of the two-phase flow model in the incompressible limit, which is valid for arbitrary trajectories of the mixing layer boundaries. The third result is an exact balance of forces relation for each such boundary, relating its acceleration to buoyancy, drag, and other forces. By replacing certain terms in this relation with phenomenological laws, one can close the model and thus uniquely specify the two-phase flow. 1 Introductio