摘要
发展了一种研究叶轮机内动、静叶间的相互作用的新方法———扰动涡方法，它利用全三维的定常解为基础解，并由此给出非定常扰动场的初始解．为计算叶片对扰动场的响应过程，采用拉格朗日方法追踪扰动涡团的对流流动过程，用确定性涡方法来描述流体的粘性扩散过程．发展了代数湍流模型（ＢａｌｄｗｉｎＬｏｍａｘ湍流模型）在尾迹中的应用方法，克服了其它数值方法中无法准确捕捉尾迹中心线的运动轨迹，以及计算出的边界层外的湍流涡粘性系数偏大的缺陷．利用该方法计算轴流叶轮机内由于动、静叶间的相互作用而引起的非定常流动过程，与实验的对照表明，模拟结果与实验数据吻合得相当好，从而说明本文发展的方法是可信的，为更直观地描述尾迹等非定常因素的流动及叶轮机内的掺混问题提供依据．
A disturbance vortex method for simulating unsteady rotor/stator interaction in turbomachinery is presented in this paper. The basic idea of the method is that the numerical steady solutions in the relative frame for rotor and absolute frame for stator are taken as input, which can give an initial description of the unsteady disturbance flow field. To calculate the unsteady response to these disturbances, the algorithm utilizes the Lagrangian vortex method (to trace the trajectories of vortices directly) to describe the convective process, and diffusion is obtained by the deterministic vortex scheme to improve precision. In this paper, the governing equations, initial and boundary conditions and computation procedure are briefly described.To validate the present method, the unsteady flows due to rotor/stator interaction in the first stage of NASA 67 compressor were simulated. The predicted unsteady wake flow field was compared with the available experimental data and the agreement is good. From the comparison we see that the present method is reliable. Applying the code based on the method, a numerical simulation result for a high loading transonic compressor with a pitch ratio of 1.74 shows that by use of the method, the unsteady development of wake and other vortices can be correctly predicted when a periodic convergent status is reached. Moreover, to reach such status, only few periods are sufficient, which indicats that the method has an excellent ability of convergence. It is concluded that the disturbance vortex method presented is capable of simulating unsteady flow efficiently, and also can be used as a new tool for analyzing unsteady flow in turbomachinery.
出处
《力学学报》
EI
CSCD
北大核心
1998年第3期257-266,共10页
Chinese Journal of Theoretical and Applied Mechanics
基金
国家攀登计划资助
关键词
叶轮机
静叶
相互作用
扰动涡
非定常流动
动叶
turbomachinery, rotor stator interaction,disturbance vortex method, unsteady flow
