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声学共鸣法是目前测量流体热物性、热力学温度和玻尔兹曼常数最精确的方法之一,声波导管为共鸣腔提供声源和气体进入口,但是会破坏共鸣腔的理想表面从而导致腔体内气体介质共鸣频率的偏移(△f)和共鸣峰半宽的增加(9)。本文从一阶声学微扰出发建立了声波导管对共鸣腔声场的扰动模型,分析了导管位置、长度和半径大小对腔体中介质共振频率的影响。进一步测量了52-1763min之间六个不同长度的导管在T=332K和p=50-500kPa时,圆柱共鸣腔中轴向共鸣模式的共鸣频率和半宽的变化,测量结果与理论计算值吻合较好,证明了理论模型的正确性。

Acoustic resonance method is one of the most accuracy way to measure the thermophysical properties, thermodynamic temperature and Boltzmann constant. Waveguide is a part of acoustic thermometry which can let working gas in and out, and also be the acoustic transducer. But waveguide will break the ideal acoustic surface and bring perturbations(△f+ig) to the ideal resonance frequency. The perturbation model for waveguide was developed based on the first-order acoustic theory in this paper. The frequency shiR Af and half-width change g caused by the position, length and radius of waveguide were analyzed using this model. Six different length of waveguides (52-1763 mm) were settled on the cylinder resonator and the perturbation (Af+ig) were measured at T=332 K and p=50-500 kPa. The experiment results agreed with the theoretical prediction very well.

参考文献

[1] Fischer J;Fellmuth B .Temperature metrology[J].Reports on Progress in Physics,2005(5):1043-1094.
[2] Mills IM;Mohr PJ;Quinn TJ;Taylor BN;Williams ER .Redefinition of the kilogram, ampere, kelvin and mole: a proposed approach to implementing CIPM recommendation 1 (CI-2005)[J].Metrologia: International Journal of Scientific Metrology: = Internationale Zeitschrift fur Wissenschaftliche Metrologie: = Journal International de Metrologie Scientifique,2006(3):227-246.
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[4] K. A. Gillis;H. Lin;M. R. Moldover .Perturbations From Ducts on the Modes of Acoustic Thermometers[J].Journal of Research of the National Institute of Standards and Technology,2009(5):263-285.
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