A high fidelity computational fluid dynamic model is used to simulate the flow, pressure, and density fields generated in a cylindrical and a conical resonator by a vibrating end wall/piston producing high-amplitude standing waves. The waves in the conical resonator are found to be shock-less and can generate peak acoustic overpressures that exceed the initial undisturbed pressure by two to three times. A cylindrical (consonant) acoustic resonator has limitations to the output response observed at one end when the opposite end is acoustically excited. In the conical geometry (dissonant acoustic resonator) the linear acoustic input is converted to high energy un-shocked nonlinear acoustic output. The model is validated using past numerical results of standing waves in cylindrical resonators. The nonlinear nature of the harmonic response in the conical resonator system is further investigated for two different working fluids (carbon dioxide and argon) operating at various values of piston amplitude. The high amplitude nonlinear oscillations observed in the conical resonator can potentially enhance the performance of pulse tube thermoacoustic refrigerators and these conical resonators can be used as efficient mixers.

译文

:高保真计算流体动力学模型用于模拟由振动端壁/活塞产生高振幅驻波而在圆柱和圆锥形谐振器中产生的流场,压力和密度场。发现圆锥形谐振器中的波无冲击,并且可以产生峰值声学超压,其超过初始未扰动压力的2到3倍。当在另一端被声学激励时,圆柱形(辅音)声谐振器对在一端观察到的输出响应具有局限性。在圆锥形几何体(谐振声学谐振器)中,线性声学输入被转换为高能量,不受电击的非线性声学输出。使用过去在圆柱谐振器中驻波的数值结果验证了该模型。对于在活塞振幅的各种值下工作的两种不同的工作流体(二氧化碳和氩气),将进一步研究圆锥形谐振器系统中谐波响应的非线性特性。在圆锥形谐振器中观察到的高振幅非线性振荡可以潜在地增强脉冲管热声制冷机的性能,并且这些圆锥形谐振器可以用作有效的混频器。

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