Nonlinear Oscillations of a Gas in a Tube
Nonlinear Oscillations of a Gas in a Tube
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DOI：
10.1115/1.3101922
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发表时间：
1996-03
影响因子：
14.3
通讯作者：
M. A. Ilgamov;R. Zaripov;R. G. Galiullin;V. B. Repin
中科院分区：
文献类型：
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作者：
M. A. Ilgamov;R. Zaripov;R. G. Galiullin;V. B. Repin
在过去的几十年里，许多研究人员对有限长管内气体的非线性振荡进行了实验和理论研究。研究了气柱在不同激励频率下的纵向和近纵向振荡。特别感兴趣的是在共振和nearresonant振荡，它们伴随着一个不连续的气体参数的外观，与管端之一被完全关闭或部分开放。在另一端，放置振荡源（图1）。最简单的激励器是平面活塞沿管沿着振荡（图la，B），周期性的热量和质量供应（图lc），或气体射流冲击管（图Id）。哈特曼（Hartmann，1922）首先考虑了后一种诱导管内气体自激振荡的方法。对应于图1a、B和c的非线性振荡的情况首先由莱曼（1934）、迈尔-舒沙尔（1936）、莱陶（1939）和施密特（1939）进行了研究。特别是，Lettau（1939）已经表明，如果活塞运动的频率接近或与封闭管中气柱纵向振荡的第一基频一致，则形成冲击波。在更复杂的装置中，例如压缩机管道系统、液体或固体推进剂火箭发动机的燃烧室等，振荡是由上述激励器和其他源的组合产生的。在管中气体参数的振荡与热量和质量供应之间可以存在反馈关系，并且振荡因此可以是自激的。例如，在罗森（1960）、麦克卢尔等人（1960）、劳申巴赫（196 I）、罗斯特（196 I）、朱（1963）、朱和文（1963）、恩格勒和纳克巴（1964）、布朗利（1964）、西里尼亚诺和克罗科（1964）、埃利亚斯等人（1965）、llgamov（1969）、Vladislavlev等（1972）、Podymov等（1978）和惠特利等（1983）。然而，在本综述中，只考虑了在简单装置中激发的非线性振荡，如图1a、B和c所示。
Over the last several decades, experimental and theoretical investigations of nonlinear oscillations of a gas contained in a finite length tube have been pursued by many researchers. Longitudinal and nearly longitudinal oscillations of a gas column were studied at different values of excitation frequency. The particular interest was in resonant and nearresonant oscillations where they are accompanied by the appearance of a discontinuity of the gas parameters, with one of the tube ends being closed completely or partially open. At the other end, the source of oscillations is placed (Fig 1). The simplest exciters are the plane piston oscillating reciprocatingly along the tube (Figs la, b), periodic heat and mass supply (Fig lc), or a gas jet impinging on the tube (Fig I d). The latter way of inducing self-excited oscillations of a gas in a tube has been considered first by Hartmann (1922). The cases of nonlinear oscillations corresponding to Figs la, b, and c were examined first by Lehmann (1934), Mayer-Schuchard (I 936), Lettau (I 939), and Schmidt (i 939). Particularly, Lettau (1939) has shown that if the frequency of piston motion is close to or coincides with the first fundamental frequency of longitudinal oscillations of a gas column in a closed tube, shock waves are formed. in more intricate installations, for example, a pipeline system of compressors, the combustion chamber of liquid or solid propellant rocket engines, etc, oscillations are generated by a combination of the exciters mentioned above and other sources. A feedback relationship can exist between oscillations of gas parameters in a tube and the heat and mass supply, and oscillations can thus be self-excited. Examples of such oscillations are considered, for instance, in papers by Rosen (1960), McClure et al (1960), Rauschenbach (196 I), Reynst (196 l), Chu (1963), Chu and Ving (1963), Engler and Nackbar (1964), Brownlee (1964), Sirignano and Crocco (1964), Elias et al (1965), llgamov (1969), Vladislavlev et al (1972), Podymov et al (1978), and Wheatley et al (1983). However, in this survey, nonlinear oscillations excited only in simple installations, such as shown in Figs I a, b, and c, are considered.