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热声压力波放大器的湍流模型及实验验证 总被引:2,自引:0,他引:2
热声压力波放大器是一种利用声学特性将压力波幅值进行放大的一种装置,它主要用来连接热声发动机和其驱动的制冷机,增大制冷机的驱动压比.由于声学压力波放大器内的压力幅值通常较大,流动速度也非常大,所以用线性热声理论难以对其进行准确的计算.本文通过对线性热声理论进行修正,获得了热声压力波放大器内湍流流动的修正方法,并对该修正方法进行了实验验证.研究结果表明,通过修正后的理论模型可以对热声压力波放大器进行较为准确的计算.该计算模型预计在其它的一些交变流动系统中也具有一定的适用性. 相似文献
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采用计算流体动力学(CFD)方法,对高频驻波热声发动机和热声斯特林发动机实验系统分别进行了二维和三维数值模拟。计算模型具有与实验系统相同的几何结构、尺寸和运行工况。对计算模型的有效性进行了研究,表明实现有限换热条件的板叠实物模型适合驻波热声发动机的模拟,而实现局域热平衡的多孔介质模型适合热声斯特林发动机的模拟。计算结果成功观测到了非线性的自激振荡演化过程,捕捉到了两种发动机的不同非线性现象。计算结果分别给出了两种热声发动机内部的声场分布特性和复杂流场。计算结果与实验结果的对比验证了CFD方法对高频驻波热声发动机和热声斯特林发动机模拟的有效性。 相似文献
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为研究热声制冷机内部的非线性过程,发展了一种可考虑管道截面积变化的时域准一维非线性热声模型,其主控方程由可压流基本控制方程经截面平均的数学处理推导得出,数值求解采用具有频散保持特性的高精度计算格式。采用该模型分别针对活塞、扬声器和热声发动机这三种不同驱动源,将驱动源和热声制冷机进行整体求解,模拟了热声制冷板叠两端温度差在气体微团吸放热的循环过程中逐渐增大的整个过程,预测了谐振管内部驻波的非线性畸变。进而研究了平均工作压力、板叠材料、板叠位置以及扬声器形状等参数的选取对于热声制冷机制冷效果的影响。 相似文献
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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。 相似文献
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《声学学报:英文版》2015,(1)
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。 相似文献
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将周期性慢波结构中的单元结构等效为一个三端口网络,利用高频结构模拟软件确定等效模型的参数,由此建立了一种通用的慢波结构等效模型.该方法不需要进行复杂的电路等效,直接由高频软件得到通道内场分布,因此较解析方法简单,又不像等效线路模型那么烦琐.基于该三端口网络模型,建立了适用于折叠波导行波管的一维注波互作用非线性理论模型,编写了数值计算程序,对一支折叠波导行波管进行了模拟.该理论模型模拟的结果与实验结果误差小于10%.该理论模型可以用于指导新型折叠波导行波管的设计及非线性模拟研究. 相似文献
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A weakly nonlinear theory of the thermoacoustic instability in gas-filled tubes is developed in the time domain by exploiting the difference between the instability time scale and the period of standing waves. By carrying the expansion to fourth order in the perturbation parameter, explicit results for the initial growth, nonlinear evolution, and final saturation are obtained. The dependence of the saturation amplitude upon the temperature difference in the stack, the tube geometry, stack plate spacing, Prandtl number, and other parameters is illustrated. 相似文献
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The process of frequency conversion in regular domain structures is studied using the constant-intensity approximation. The
investigations are carried out at values of complex amplitudes of the fundamental radiation and third harmonic at the output
of each domain equal to the values of the corresponding complex amplitudes at the input of the subsequent domain. We show
that the optimum length of each domain depends on the input pump intensity in the given domain. Thus, it is possible by choosing
the optimum lengths of domains, phase mismatch, and pump intensity even at a low number of periods of nonlinear susceptibility
modulation of the lattice to reach considerable values of conversion efficiency at the structure output in comparison with
the traditional case of homogeneous nonlinear media. 相似文献
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In this paper the behaviour of strongly nonlinear waves in axisymmetric resonators is experimentally and numerically studied. Experiments are carried out in a cylindrical cavity, which transversal dimension is bigger than the longitudinal one, excited by a narrow band transducer. The quality factor and displacement amplitudes are experimentally quantified. A finite difference numerical model is developed to solve, in the time domain, a proposed set of full nonlinear differential equations written in Lagrangian coordinates. Pressure field is obtained for complicated modes. Good agreement between numerical and experimental results is found. New nonlinear properties of quasi-standing waves in axisymmetric resonators are described. Results are compared to linear approximation and show the importance of three-dimensional analysis. 相似文献
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Nonlinear interactions between the baroclinic Rossby waves trapped in the equatorial waveguide and the barotropic Rossby waves freely propagating across the equator are studied within the two-layer model of the atmosphere, or the ocean. It is shown that a barotropic wave can resonantly excite a pair of baroclinic waves with amplitudes much greater than its proper amplitude. The envelopes of the baroclinic waves obey Ginzburg-Landau-type equations and exhibit nonlinear saturation and formation of characteristic "domain-wall" and "dark-soliton" defects. 相似文献
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Nordborg A 《The Journal of the Acoustical Society of America》2002,111(4):1772-1781
Two models are developed, one in the time domain and another in the frequency domain, to explain when a wheel/rail noise generation model requires the inclusion of discrete supports, parametric excitation, and the nonlinear contact spring. Numerical simulations indicate the inclusion of discrete supports to describe low frequency response, and also at higher frequencies, especially where the rail is very smooth or has a corrugation/wavelength corresponding to the pinned-pinned frequency. With a corrugation, it may become essential to include the nonlinear contact spring, as contact loss occurs at high corrugation amplitudes. As nonlinearity causes force generation over a broad frequency range, some contributions excite wheel resonances, resulting in high radiation levels, that require the inclusion of wheel/rail nonlinear effects and parametric excitation for accurate prediction. 相似文献
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Simon J. Illingworth Iain C. Waugh Matthew P. Juniper 《Proceedings of the Combustion Institute》2013,34(1):911-920
This paper examines nonlinear thermoacoustic oscillations of a ducted Burke-Schumann diffusion flame. The nonlinear dynamics of the thermoacoustic system are studied using two distinct approaches. In the first approach, a continuation analysis is performed to find limit cycle amplitudes over a range of operating conditions. The strength of this approach is that one can characterize the coupled system’s nonlinear behaviour over a large parameter space with relative ease. It is not able to give physical insight into that behaviour, however. The second approach uses a Flame Describing Function (FDF) to characterize the flame’s response to harmonic velocity fluctuations over a range of forcing frequencies and forcing amplitudes, from which limit cycle amplitudes can be found. A strength of the FDF approach is that it reveals the physical mechanisms responsible for the behaviour observed. However, the calculation of the FDF is time consuming, and it must be recalculated if the flame’s operating conditions change. With the strengths and shortcomings of the two approaches in mind, this paper advocates combining the two to provide the dynamics over a large parameter space and, furthermore, physical insight into that behaviour at judiciously-chosen points in the parameter space. Further physical insight concerning the flame’s near-linear response at all forcing amplitudes is given by studying the forced flame in the time domain. It is shown that, for this flame model, the limit cycles arise because of the flame’s nonlinear behaviour when it is close to the inlet. 相似文献
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Viscous overstability (oscillatory instability) may play an important role in the formation of small scale structure in dense planetary rings such as Saturn's B ring. We investigate the growth and saturation of such modes in local particle simulations. Starting from a hydrodynamic model, we develop a set of ordinary differential equations to model the evolution of the amplitudes of the linearly overstable modes in the nonlinear regime. The NASA/ESA space probe Cassini can make direct observations of these modes in Saturn's rings, including their sizes and temporal development. 相似文献
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The nonlinear stage in the development of a resistive hose instability of a highcurrent relativistic electron beam in a finite-conductivity plasma has been studied in the rigid-beam model. The attenuation of the force of the interaction of the beam with the magnetic field of the total current for large beam displacements is shown to result in the stabilization of the instability. The stabilization time and the amplitudes of the oscillations in the saturation regime are determined as functions of the parameters of the beam in the plasma.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fiz., No. 10, pp. 78–81, October, 1987. 相似文献