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Nonlinear interaction analysis of subsonic jet instabilities with forced eigenmodes using PSE

机译:使用PSE的具有本征模态的亚音速喷射不稳定性的非线性相互作用分析

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Nonlinear evolution of disturbances in an axisymmetric, high subsonic, high Reynolds number hot jet with forced eigenmodes is studied using the Parabolized Stability Equations (PSE) approach to understand how modes interact with one another. Both frequency and azimuthal harmonic interactions are analyzed by setting up two modes at higher initial amplitudes and various phases. Controlling the evolution of a specific mode has been made possible by forcing two modes (m_1, f_1), (m_2, f_2), such that the difference in azimuth and in frequency matches the desired "target" mode (m_1 - m_2 , f_1 - f_2). A careful set-up of the initial amplitudes and phases of the two forced modes, defined as the "killer" modes, has allowed the minimizing of the initially dominant instability in the near pressure field, as well as its estimated radiated noise with a 15 dB loss. Although an increase of the overall sound pressure has been found in the range of azimuth and frequency analyzed, the present paper reveals the possibility to make the initially dominant instability ineffective acoustically using nonlinear interactions with forced eigenmodes.
机译:使用抛物稳定方程(PSE)方法研究了轴对称,高亚音速,高雷诺数热射流具有强迫本征模态时扰动的非线性演化,以了解模态如何相互作用。通过在较高的初始振幅和不同的相位设置两个模式,可以分析频率和方位谐波相互作用。通过强制两个模式(m_1,f_1),(m_2,f_2),可以控制特定模式的演变,从而使方位角和频率上的差异与所需的“目标”模式匹配(m_1-m_2,f_1- f_2)。仔细设置两个强制模式(称为“杀手”模式)的初始振幅和相位,可以使在近压力场中的初始主要不稳定性以及其估计的辐射噪声最小化为15。 dB损耗。尽管已发现在所分析的方位角和频率范围内总声压有所增加,但本论文揭示了使用强制本征模态的非线性相互作用使最初占主导地位的不稳定性在声学上无效的可能性。

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