喷管中气液两相混合物流动的等熵分析

摘要

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.%文章基于均质混合物的等熵和正压条件，建立了喷管内定常气液两相流动的等熵模型及其微分方程，并因此得到了喷管内混合物压力、体积分数、马赫数以及温度之间的等温与等熵的解析关系。解析解表明，气液质量流率之比增加，喷管内混合物的温度变化明显，而混合物的临界流动特性与滞止点的气体体积分数有关。基于以上解析关系以及连续性方程得到喷管线型与压力分布的解析关系，通过该关系可以根据期望压力分布逆向设计得到喷管线型，或者根据给定喷管线型求解得到喷管内的流动。