A simple, explicit formula for the critical pressure of homogenous two-phase nozzle flows

The critical pressure ratio of the homogeneous two-phase nozzle flow model known as the Omega method is expressed in function of the Omega Parameter as the exact numerical solution of a transcendental equation. A well fitting, easy to use, explicit approximation for flashing and non-flashing flows is presented here. The validation against the exact numerical solution proves that this new formula is better fitting than the other ones in the technical literature for both single and two-component flows.