热声制冷机声场中非线性效应

热声制冷的基本原理是热声效应,但热声效应一般只在高声强下发生,随之将产生强烈的非线性效应.本文在自行研制的热声制冷机试验台上,研究了板叠对声场非线性的影响以及非线性对热声系统性能的影响.结果表明,板叠的存在使得声波明显衰减,压比约减小5%,并且各次谐波的幅值和增长速率较无板叠时均有所降低;非线性效应限制了基波的增长,导致了高次谐波产生,且基波和高次谐波的增长均有发展为饱和的趋势.板叠的存在产生明显的声制冷效果,制冷温度随驱动功率增大先增加后减小.在50 W时达到最低温度5.1℃.     

热声起振现象的模拟研究

热声现象中广泛存在非线性效应,其中最典型的就是热声自激起振.本文建立了一个四分之三波长的Rijke管计算模型,基于并行计算,采用数值模拟对其起振现象进行了模拟.研究了不同初场对起振行为的影响,得出起振后的气体振荡频率,并对管内的流动与换热规律进行了详尽分析.模拟结果与文献结果相吻合.本文工作有助于更多地了解热声起振现象,同时也为我们开展热声问题的介观模拟提供了有力的参考.     

Rijke管自激热声振荡的数值模拟

为了对热声不稳定的发生及控制机理进行研究,对Rijke管内的自激热声振荡现象进行了数值模拟。采用具有低频散低耗散特点的计算气动声学方法,对带有非线性热源项的声波方程进行数值求解,并比较了不同的热源模型及边界条件对非线性效应的影响。结果表明,计算气动声学方法可以成功捕捉到Rijke管内压力的起振过程,而且在速度扰动达到平均流速度的1/3时,振荡会由线性增长转为非线性增长,最终达到有限幅值极限循环。相比热源项,考虑管口辐射耗散的非线性边界条件在振荡幅值和频谱方面对结果的影响都比较小。数值模拟得到的结果与实验符合较好,表明计算气动声学方法适合于热声振荡问题的研究。      

220 GHz三次谐波光子带隙谐振腔回旋管振荡器的研究

提出了一种220 GHz三次谐波光子带隙谐振腔回旋管振荡器的物理结构.利用光子晶体高频带隙确定了回旋管高阶电磁模式类TE63和三次电子回旋模的互作用状态.通过非线性理论,研究了腔内类TE63和类TE92模的弱模式竞争,得到了有利于回旋管三次谐波起振的工作条件和起振过程的非线性特征,其结果与粒子模拟基本一致.研究表明,利用光子带隙谐振腔的禁带特征,回旋管中高阶电磁模与高次电子回旋模能够发生有效的互作用关系被得到证实.     

改型wiggler高次谐波自由电子激光的非线性理论分析

建立了改型wiggler自由电子激光的非线性理论,导出了自洽非线性方程组.用计算机模拟方法对改型wiggler高次谐波自由电子激光进行了分析,得到了电子在与光场相互作用,从线性调制到非线性饱和演化过程中的相空间群聚图、高次谐波的增益、抽取效率以及电子束能谱图,同时,还研究了电子束能散度对高次谐波的增益和效率的影响等.模拟结果证实了改型wiggler自由电子激光是实现短波长相干光辐射的重要途径之一. 关键词：     

Rijke型燃烧器热声不稳定的频率跳跃

为研究热声不稳定的自激机理,搭建了Rijke型预混燃烧器热声不稳定试验台架,研究了其热声不稳定起振过程的频率特性.Rijke型燃烧器为两个不同尺寸的方管,下端封闭,上端开口,多孔介质稳燃体位于燃烧器下端四分之一管长处,甲烷与空气的预混气体在稳燃体上方燃烧,形成平面火焰.试验发现了Rijke型预混燃烧器内热声不稳定的起振过程中存在着频率跳跃:燃烧热释放脉动与燃烧器声场的耦合首先激发低阶的热声振荡,然后此低阶热声振荡逐步消退,再度激发起更高阶的热声不稳定,依次类推,直至激发起适合当前燃烧器结构的稳定持续的压力振荡.     

锥型热声谐振管内非线性声场的数值模拟研究

从声学角度出发,考虑粘性耗散、非线性效应及管型结构变化的影响,利用伽辽金法,对锥型热声谐振管内的一维声场进行了数值模拟研究,对谐振管结构参数对声场的影响进行了分析,给出了锥型管内压比随谐振管结构参数变化的规律,通过与圆柱型直管的比较,揭示了锥型管在抑制谐波及提高压比等方面的优越性。     

失谐驻波管及其极高纯净驻波场性质的研究

由直径不同的两级直圆管连接而成的两级突变截面驻波管具有失谐性,即高阶共振频率不是一阶共振频率的整数倍. 两级突变截面驻波管的失谐性质能够很好地抑制一阶共振频率激励下的大振幅非线性驻波畸变产生的高次谐波,从而获得大振幅纯净驻波场. 通过对两级突变截面驻波管失谐性质的研究,采用大功率扬声器正接等措施,利用两级突变截面驻波管的失谐性质在一阶共振频率激励下获得了184 dB的极高纯净驻波场,并对二至五阶共振频率激励下的声场进行了相应的实验研究. 在二阶、四阶共振频率激励下分别获得了180和166 dB波形比较规整的大振幅非线性驻波,并在三阶、五阶共振频率激励下观察到了谐波饱和现象和锯齿波. 关键词： 失谐驻波管 大振幅驻波 畸变 饱和     

热声起振机理的研究进展

回顾了最近十几年间国内外热声起振机理的研究进展,重点介绍了热声起振研究的主要理论和实验研究方法,指出了当前理论成果与实际热声过程之间存在的差距,并对热声理论研究今后的发展趋势进行了展望。     

强激光场中N2分子高次谐波的干涉效应

在强场近似下,利用Lewenstein模型研究了N2分子在强激光场中发射高次谐波的干涉效应,通过对N2分子产生的高次谐波和分子中单个原子产生高次谐波的比较,表明了干涉效应的存在. 得出随着高次谐波阶数的增加,干涉极小值会随着分子轴与激光偏振方向间夹角的增加而减小,在角度接近900附近时干涉效应消失,与两中心干涉模型预测的趋势一致. 通过分析高次谐波产生的机制和相位随取向角的变化,给出了干涉产生的原因.     

Investigation on nonlinear thermo-acoustic characteristics of Rijke tube

Based on the energy conservation relationship,nonlinear thermo-acoustic effects of Rijke tube including instability range,saturation processes and higher harmonics modes were investigated.With coupling between the external flow and the inner space of a Rijke tube, the acoustic characteristics of self-excited oscillation were simulated.The experimental study was also carried out and the results were compared with those from simulation.The nonlinear factors which distort the acoustic waveform distortion were analyzed.From the results,it is seen that varying size of the nozzle outlet changes the acoustic impedance in the boundary, and leads to reduction of the nonlinear effects.The results show that the modes of self-excited oscillation could be influenced by the position of higher harmonics.In the large amplitude oscillation,the distortion of pressure wave within Rijke tube could be induced by the acoustic losses due to vortices on nozzle.It is found that the waveform distortion could be avoided by the shrinkage of nozzle.     

Reduced-order modelling of thermoacoustic instabilities in a two-heater Rijke tube

The topic of thermoacoustic instabilities in combustors is well-investigated, as it is important in the field of combustion, primarily in gas-turbine engines. In recent years, much attention has been focused on monitoring, diagnosis, prognosis, and control of high-amplitude pressure oscillations in confined combustion chambers. The Rijke tube is one of the most simple, yet very commonly used, laboratory apparatuses for emulation of thermoacoustic instabilities, which is also capable of capturing the physics of the thermally driven acoustics. A Rijke tube apparatus can be constructed with an electrical heater acting as the heat source, thus making it more flexible to operate and safer to handle than a fuel-burning Rijke tube or a fuel-fired combustor. Augmentation of the heat source of the Rijke tube with a secondary heater at a downstream location facilitates better control of thermoacoustic instabilities. Along this line, much work has been reported on the investigation of thermoacoustics by using computational fluid dynamics (CFD) modelling as well as reduced-order modelling for both single-heater and two-heater Rijke tube systems. However, since reduced-order models are often designed and built upon certain empirical relations, they may not account for the dynamic behaviour of the heater itself, which is a critical factor in the analysis and synthesis of real-time robust control systems. This issue is addressed in the current paper, where modifications have been made to existing models by incorporating heater dynamics. The model results are systematically validated with experimental data, generated from an in-house (electrically heated) Rijke tube apparatus.     

Investigation on Rijke pipe＇s acoustic characteristics by numerical simulation： modeling the pulsing flow field coupled the inner of pipe with its outer space

Based on the results of fluid dynamics, heat transfer and acoustics, a Computational Fluid Dynamics （CFD） method was utilized to study the acoustic characteristics and self-excited pulsation mechanism inside a Rijke pipe. To avoid settling the irrational boundary conditions of the finite-amplitude standing wave in the Rijke thermo-acoustic system, the simulation modeling in the flow field, which coupled the inner of pipe with its outer space, was carried out to replace the traditional way in form of internal flow field numerical investigations. A hypothesis for heat source in energy equation including the relationship on unsteady heat of air around heat source, oscillation pressure and oscillation velocity was presented. To reflect the essence of Rijke pipe, simulation on self-excited oscillation was conducted by means of its own pulsation of pressure, velocity and temperature. This method can make the convergence process steady and effectively avoid divergence. The physical phenomenon of the self-excited Rijke pipe was analyzed. Moreover, the mechanisms on the Rijke pipe＇s self-excited oscillation were explained. Based on this method, comparative researches on the acoustic characteristic of the Rijke pipe with different size and different shape of nozzle were performed. The simulation results agreed with the experimental data satisfactorily. The results show that this numerical simulation can be used to study the sound pressure of nozzle for the engineering application of Rijke pipes.     

黎开管热声振荡的主动控制研究

本文以黎开管内的热声耦合振荡为研究对象,设计基于主动补偿的适应性控制器抑制黎开管内的不稳定燃烧。试验以扬声器为执行机构来改变黎开管的边界条件,从而抑制黎开管内的热声耦合振荡。实时控制效果表明,本文所采用的适应性控制算法能够有效抑制因热声耦合产生的燃烧振荡,为实际动力系统燃烧振荡抑制提供了思路。     

Generation of harmonics in a Rijke tube by using a single heating element

There exist excitation positions in a Rijke tube in which a heating element may be placed to produce a harmonic of the tube. These positions can be predicted from Rayleigh's criterion. A formula is derived to calculate the positions of these points for the inth harmonic. A heating element, placed in both of the two possible positions of excitation, as predicted by this formula, successfully produced the second harmonic of a Rijke tube.     

Rijke管的实验研究和理论分析

为了探讨脉动燃烧器的原理,本文实验研究了Ｒｉｊｋｅ管中热源位置、温度和出口条件等参数对发声频谱、声压的影响,以及Ｒｉｊｋｅ管瞬态发声特性和热源饱和现象。借助Ｒａｙｌｅｉｇｈ准则,作了定性的理论分析,并与实验结果比较。从实验和理论两方面进行新的探索,来研究与Ｒｉｊｋｅ管相关的物理现象。     

Rijke管热声振荡的稳定性切换行为研究

采用数值方法模拟了强弱两种阻尼条件下传热迟滞时间对一维Rijke管热声系统稳定性的影响,发现Rijke管系统存在稳定性切换现象.在推导了无量纲形式的管内声波动量方程和能量方程之后,利用Galerkin方法对控制方程进行展开并在时间域内数值求解.分析了强阻尼和弱阻尼条件下,给定热源的Rijke管热声振荡的稳定性与传热迟滞时间的关系.结果显示:在两类阻尼条件下,持续增大传热与速度的迟滞时间,系统均呈现出稳定性切换现象,即系统在稳定和不稳定两个状态间持续转变;但弱阻尼系统的不稳定区域宽于强阻尼系统的不稳定区域,系统最大振幅相对增大,且系统热声振荡的主模态在不同模态之间发生转换.最后,通过求解系统各阶模态极限环幅值随传热迟滞时间的变化,发现Rijke管热声振荡稳定性切换现象与迟滞时间存在近似周期性关系.     

Self-oscillations in a Rijke tube with receiver positioning at its entrance

A mathematical model with lumped parameters of self-oscillations, self-excited in a Rijke tube with receiver positioning at its input, was obtained. The influence of electric heater capacity and the size of input volume (the receiver) on the conditions of self-excitation and the form of the considered self-oscillations was considered.     

Model-based control of combustion instabilities

Model-based active controllers are designed for two laboratory combustion systems exhibiting a combustion instability, a simple Rijke tube and an atmospheric pressure combustion rig. The unstable open-loop transfer functions (OLTFs) of both are measured experimentally using an actuator signal which is comprised of two components; a control signal from an empirically obtained controller, and a wide-bandwidth signal for identification of the transfer function. This method of measuring the OLTF could be applied equally well at full scale. Robust model-based controllers are designed for both systems using linear Nyquist techniques, and are implemented experimentally. Both sets of controllers stabilise their system (even from within the limit cycle resulting from instability), with a reduction of 80 dB at the Rijke tube microphone and a reduction of approximately 40 dB at the combustion rig pressure transducer. In addition, both sets of controllers are demonstrated to control the system beyond the operating conditions which they were designed for, demonstrating the advantages of robust model-based controllers.