1D Solutions for Compressible Two-Phase Flows in a Heated and Cooled Duct: Mechanical Equilibrium

Analytical/quasi-analytical solutions are proposed for a steady, compressible, two-phase flow in mechanical equilibrium in a rectilinear duct subjected to heating followed by cooling.The flow is driven by the pressure ratio between a variable outlet pressure and an upstream tank.A critical pressure ratio distinguishes subsonic and supersonic outlet regimes: the article proposes a methodology to determine the full flow behaviour, as a function of pressure ratio and heat-flux distribution.Going forward, these analytical reference solutions will help validate numerical codes for more complex industrial applications.Specific results are studied for a mixture of liquid water and water vapour.