共轴异向旋转筒间不可压流的临界主不稳定性
Critical primary instabilities in incompressible flow between counter-rotating coaxial cylinders
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摘要: 基于长隙比无穷大和Tollmien-Schlichting行谐波假设，通过导出柱坐标系下不可压一阶改型连续特征值问题，实现了异向旋转筒间流动临界主不稳定性的线性分析。在稳定性方程离散中引入了一类高精度对称紧致差分格式，在特征值搜索中发展了一个高效率复矩阵双重反迭代算法。双临界点分析揭示了几何参数、流动参数、扰动参数相互间的变化规律。理论结果同实验测量数据基本一致。Abstract: Based on the assumptions of infinite aspect ratio andTollmien-Schlichting travelling harmonic wave, the critical primary in stabilities in incompressible flow between counter-rotating cylinders are inves tigated using linear theory. A first-order modified
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