计算物理 ›› 2019, Vol. 36 ›› Issue (1): 89-98.DOI: 10.19596/j.cnki.1001-246x.7791

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多元可激发气体声弛豫频率的环境影响分析

张克声1, 张向群2, 邵芳3, 唐文勇1   

  1. 1. 贵州理工学院电气与信息工程学院, 贵州 贵阳 550003;
    2. 许昌学院信息工程学院, 河南 许昌 461000;
    3. 贵州理工学院机械工程学院, 贵州 贵阳 550003
  • 收稿日期:2017-10-31 修回日期:2018-01-18 出版日期:2019-01-25 发布日期:2019-01-25
  • 作者简介:张克声(1978-),男,博士,副教授,从事声学气体检测和信号处理研究,E-mail:keshengzhang@163.com
  • 基金资助:
    国家自然科学基金(61461008,61571201,51465009)、国家留学基金(201708525058)、贵州省科学技术基金(黔科合J字[2015]2065、黔科合LH字[2014]7361)及贵州理工学院高层次人才引进项目(XJGC20140601)资助

Analysis of Environmental Influencing on Acoustic Relaxation Frequency in Multi-component Excitable Gases

ZHANG Kesheng1, ZHANG Xiangqun2, SHAO Fang3, TANG Wenyong1   

  1. 1. School of Electrical and Information Engineering, Guizhou Institute of Technology, Guiyang 550003, Guizhou, China;
    2. School of Information Engineering, Xuchang University, Xuchang 461000, Henan, China;
    3. School of Mechanical Engineering, Guizhou Institute of Technology, Guiyang 550003, Guizhou, China
  • Received:2017-10-31 Revised:2018-01-18 Online:2019-01-25 Published:2019-01-25

摘要: 推导多元可激发气体中声弛豫频率和环境温度、压强的解析关系.理论分析和仿真计算表明:声弛豫频率线性反比于主弛豫过程的弛豫时间,正比于主弛豫过程的振动耦合热容,反比于外自由度热容;温度升高导致振动耦合热容增加、内外自由度能量转移速率增大引起弛豫时间减少,进而造成声弛豫频率正比于环境温度;压强增加使得分子碰撞速率增加引起弛豫时间减少,进而使得声弛豫频率线性正比于环境压强.

关键词: 声弛豫频率, 气体温度, 气体压强, 声弛豫吸收

Abstract: Analytic relations between acoustic relaxation frequency and external temperature and pressure in multi-component excitable gases are deduced. Theoretical and calculational results show that relaxation frequency is inversely proportional to relaxation time of primary relaxation process, proportional to vibration coupling heat capacity of primary relaxation process, and inversely proportional to external heat capacity. Increase of temperature is related to increase of heat transfer capacity and energy transfer rate of internal and external degrees of freedom, which leads to decrease of relaxation time. It results that relaxation frequency is proportional to ambient temperature. Increase of pressure increases molecular collision rate and causes relaxation time to decrease, which brings about relaxation frequency being linearly proportional to ambient pressure.

Key words: acoustic relaxation frequency, gas temperature, gas pressure, sound relaxational absorption

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