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校验叶轮机械三维数值解的某些解析解

SOME ANALYTICAL SOLUTIONS APPLICABLE TO VERIFY 3-D NUMERICAL METHODS IN TURBOMACHINES

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【作者】 蔡睿贤蒋洪德孙春林

【Author】 Cai Ruixian Jiang Hongde Sun Chunlin (Institute of Engimering Thermophysics, Academia Sinica)

【机构】 中国科学院工程热物理研究所中国科学院工程热物理研究所

【摘要】 本文给出相对旋转圆柱坐标系中三维不可压位流的某些与叶轮机械内流动相似的解析解、它们的势函数、速度向量和流面方程的数学表达式,并对其中两个分别与离心式和轴流式叶轮机械内流动较相似的解析解进行了讨论,这些解析解可用来验证三维计算程序的可靠性.文中还有验证的示例。

【Abstract】 Some analytical solutions of 3-D incompressible potential flow similar to blade channel flow in turbomachines are found. The mathematical expressions of their potential function, velocity vector as well as the S1 and S2 stream surfaces are obtained. More attention is focused on two solutions, which are more similar to the blade channel flow in centrifugal and axial turbomachines. respectively. These solutions can be used to check whether a 3-D numerical method is feasible or not. As an example, the computational results from the Mean Stream Surface Method are compared with one of these analytical solutions, and it is shown that they are of great use for verifying the reliability of 3-D numerical methods.

  • 【文献出处】 工程热物理学报 ,Journal of Engineering Thermophysics , 编辑部邮箱 ,1984年04期
  • 【被引频次】23
  • 【下载频次】94
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