大学物理 ›› 2023, Vol. 42 ›› Issue (4): 34-.doi: 10.16854 /j.cnki.1000-0712.220195

• 大学生园地 • 上一篇    下一篇

双圆柱定程干涉法测量空气黏度

邓沂静,范均,崔悦,罗莹莹,金龙馨,陈溢杭   

  1. 华南师范大学 物理与电信工程学院,广东  广州510006
  • 收稿日期:2022-04-14 修回日期:2022-06-30 出版日期:2023-05-04 发布日期:2023-05-08
  • 通讯作者: 陈溢杭,E-mail:yhchen@scnu.edu.cn
  • 作者简介:邓沂静(2000—),女,广东梅州人,华南师范大学物理与电信工程学院2019级本科生.
  • 基金资助:
    广东省自然科学基金(2015A030311018)资助

Measurement of air viscosity using double cylindrical resonators

DENG Yi-jing, FAN Jun, CUI Yue, LUO Ying-ying, JIN Long-xin, CHEN Yi-hang   

  1. School of Physics and Telecommunication Engineering, South China Normal University, Guangzhou, Guangdong 510006, China
  • Received:2022-04-14 Revised:2022-06-30 Online:2023-05-04 Published:2023-05-08

摘要: 本文通过改变声波信号的频率,在一个固定尺寸的封闭型双圆柱腔体内形成驻波的方法测量空气的黏度. 基于声学微扰理论,空气黏滞性会造成声波传播过程中能量的耗散,导致实际共振频率偏离理想共振频率. 利用扫频仪得到频谱图,通过读取频谱图上空气的实际共振频率,与理论计算得到的频率进行对比,最后计算出空气的黏度. 本文首先测量了室温下24.5 ℃时空气的黏度,测量结果为1.78×10-5 pa·s,与公认值较吻合,相对误差为2.94%. 进一步测量了不同温度下的空气黏度,验证了空气黏度随温度升高而增大的规律.

关键词: 空气黏度, 声学微扰理论, 双圆柱定程干涉法, 共振频率

Abstract: The propagation characteristics of sound waves in a closed cavity depends on viscosity of air. Based on acoustic perturbation theory, the air viscosity can be demonstrated to be measured by sonic interference using double cylindrical resonators. Electric signal, generated by sweep signal generator, is converted into acoustic signal through a speaker. The acoustic wave is reflected back and forth in the cavity to form a standing wave. The acoustic-electric conversion is performed by a microphone and then, the electric signal is input into frequency sweeper. Using a frequency sweeper, the actual resonance frequency of air can be measured and compared with theoretical resonance frequency. It also can be used to calculate the air viscosity. The air viscosity at 24.5℃ is measured to be 178×10-5pa·s, and the relative error is 2.94% when compared with the recognized value. In order to explore the effect of temperature on the air viscosity coefficient, the air viscosity coefficient at different temperature is carried out. The results show that the air viscosity coefficient increases with increasing temperature.

Key words: air viscosity, acoustic perturbation theory, double cylindrical resonator, resonance frequency