Using the following definitions, derive analytical expressions for (a) void fraction and (b) volumetric flow ratio in terms of other variables. (c) Show that = for homogenous flow (v = l).

x: flow quality = vapor mass flow fraction of the total flow : void fraction = vapor volume fraction : volumetric flow fraction = volumetric flow ratio of vapor to the total v, l vapor and liquid densities v, l vapor and liquid phasic velocities s: slip ratio = v / l