One-dimensional Two-phase Flow

annular flow bubbly flow C₁ Chem components compressibility concentration constant continuity wave velocity correlation curve density derived diameter dimensionless dimensionless group dp dz dp/dz drift flux droplets duct dynamic waves effects entrainment equation equilibrium Example falling film film thickness flooding flow rate flow regime fluid fluidized force friction factor function gas velocity homogeneous flow horizontal interface laminar flow lb/ft³ lb/hr liquid film liquid flow Mach number Martinelli Martinelli's mass mass flow rate mixture motion nozzle occur one-dimensional parameters particles phase change predicted pressure gradient propagate psia ratio relative velocity Reynolds number shear stress shock wave Show shown in Fig single-phase flow slug flow Solution stream surface tension terminal velocity tube turbulent flow two-phase flow v₁ vapor velocity profile viscosity void fraction volumetric flow rate wall shear stress Wallis zero απ θα