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Analytical investigation on the air-water isoentropic flows in nozzles
Pages: 1219-1233
Year: Issue:  10
Journal: Journal of Ship Mechanics

Keyword:  air-water mixtureisoentropic flowanalytical modellimited flownozzle design;
Abstract: Based on the baratropic model and isoentropic condition of the homogeneous air-water mixture, the isoentropic model for the multiphase flow in the nozzle was established. By the ODEs of the model, the isothermal and isoentropic analytical relationships among pressure, volume fraction of air, Mach number and temperature of the mixture were obtained. The isoentropic relation indicates that the temperature varies sig-nificantly with respective to the mass flux ratio of the phases. The relation also reveals that the property at the critical point of the flow is determined by the volume fraction at the stagnation point. By the isoentrop-ic relation above along with the mass conservation equation, a formula connecting the pressure and nozzle shape was derived, which could be used to design a nozzle by giving an anticipated pressure distribution or to calculate the flow characteristics by giving a specific nozzle shape.
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