真实气体非定常波系交互作用求解方法  

Solution method of real gas unsteady waves′ interactions

作　　者：李陌晗 代玉强[1] 张德聪 俞宁 LI Mohan;DAI Yuqiang;ZHANG Decong;YU Ning(School of Chemical Engineering,Dalian University of Technology,Dalian 116024,China)

机构地区：[1]大连理工大学化工学院,辽宁大连116024

出　　处：《大连理工大学学报》2023年第4期344-350,共7页Journal of Dalian University of Technology

基　　金：国家重点研发计划资助项目(2018YFA0704602);国家自然科学基金资助项目(51476015,51106017)。

摘　　要：真实气体气波相互作用效应在气波类机械的设计中至关重要,波系之间的相交反射直接影响设备的工作过程.目前由于真实气体非定常波系理论较为匮乏,设计者不得不先采用理想气体模型进行初步估计,然后利用计算流体力学(CFD)进行校正,消耗了大量的计算资源和时间.为此建立了真实气体非定常波交互作用求解方法.首先给出了跨越单一波的计算方法,对于激波采用Rankin-Hugoniot关系迭代波后温度,对于膨胀波利用Simpson公式对黎曼不变量进行数值积分求解波后气流速度.随后给出了简单波与激波的相遇、反射等作用的计算方法.计算结果与CFD模拟的压力和温度具有较好的一致性,并且在计算时间上比CFD有明显的优势.The real gas waves′ interaction effects are important in the design of wave machines, and the intersecting reflection between waves directly affects the working process of the equipment. At present, due to the lack of real gas unsteady wave theory, designers have to use the ideal gas model to make a preliminary estimate, and then make a correction by means of computational fluid dynamics (CFD) which consumes tremendous computing resources and time. Therefore, a solution method of the real gas unsteady waves′ interactions is built. Firstly, the calculation method for single wave crossing is presented. For shock waves, the Rankin-Hugoniot relationship is used to iterate the temperature behind the wave. For expansion waves, the Simpson formula is used to numerically integrate the Riemann invariant to solve the gas velocity behind the wave. Then, the calculation methods are provided for the interactions like encountering and reflecting processes among the simple waves and shock waves. The pressure and temperature comparisons between the results of calculation method and CFD simulation show the good consistency, and the proposed method has a clear superiority to CFD in time consuming.

关 键 词：真实气体 激波 膨胀波 非定常流动 

分 类 号：TQ051.1[化学工程]