多级轴流压气机湍流和二次流径向掺混的简单统一模型及其应用

A SIMPLE SPANWISE MIXING MODELFOR TURBULENT DIFFUSION AND SECONDARY FLOWSIN MULTISTAGE AXIAL-FLOW COMPRESSORS

本文构造出一套新的统一表示湍流和二次流径向掺混作用的多级轴流压气机子午通流流场的模型方程组。除了掺混系数外,新的方程组没有其它的未知关联项,使得含径向掺混的多级轴流压气机子午通流的计算简单得多,相应计算机程序的计算时间只是无粘计算机时的约1.5倍。新方程组的数值结果与试验结果以及与则Gallimore掺混理论结果比较,表明新方程组的合理性和优越性。新方程组有严格的理论基础,不仅能用于亚音压气机,还可能用于跨音和超音压气机。

Three kinds of coefficients are defined and introduced into the basic equations for meridional throughflow fields in multistage axial- flow compressors deduced by the authors which describe different kinds of spanwise mixing mechanism in a unified form. Then, a novel much simpler equation system is obtained without any unknown correlation terms included. It has been shown that these coefficients involve the full information of all the kinds of mixing mechanism. This novel equation system not only unifies the two analytical models for meridional throughflow with mixing which were presented by Adkins and Smith (1981) and Gallimore and Cumpsty (1986) respectively, but also makes the computations for multistage machines much easier. The calculations of the flow through multistage machines have been made by incorporating the new model into a streamline curvature throughflow calculation method. The agreement of the calculation results with experimental data has been improved. It is believed that this simpler equation system can be applied to the flows not only in subsonic compressors, but also in transonic and supersonic compressors, provided that a more appropriate model is proposed for the coefficients.