Valid Regions of Formulas of Sound Speed in Bubbly Liquids  

作　　者：张宇宁 郭忠玉 高宇航 杜小泽 

机构地区：[1]Key Laboratory of Condition Monitoring and Control for Power Plant Equipment (Ministry of Education), North China Electric Power University, Beijing 102206

出　　处：《Chinese Physics Letters》2017年第6期66-69,共4页中国物理快报（英文版）

基　　金：Supported by the National Natural Science Foundation of China under Grant No 51506051;the National Basic Research Program of China under Grant No 2015CB251503;the Fundamental Research Funds for the Central Universities under Grant No JB2015RCY04

摘　　要：There are numerous formulae relating to the predictions of sound wave in the cavitating and bubbly flows. However, tile valid regions of those formulae are rather unclear from the view point of physics. In this work, the validity of the existing formulae is discussed in terms of three regions by employing the analysis of three typical lengths involved （viscous length, thermal diffusion length and bubble radius）. In our discussions, viscosity and thermal diffusion are both considered together with the effects of relative motion between bubbles and liquids. The importance of relative motion and thermal diffusion are quantitatively discussed in a wide range of parameter zones （including bubble radius and acoustic frequency）, The results show that for large bubbles, the effects of relative motion will be prominent in a wide region.There are numerous formulae relating to the predictions of sound wave in the cavitating and bubbly flows. However, tile valid regions of those formulae are rather unclear from the view point of physics. In this work, the validity of the existing formulae is discussed in terms of three regions by employing the analysis of three typical lengths involved （viscous length, thermal diffusion length and bubble radius）. In our discussions, viscosity and thermal diffusion are both considered together with the effects of relative motion between bubbles and liquids. The importance of relative motion and thermal diffusion are quantitatively discussed in a wide range of parameter zones （including bubble radius and acoustic frequency）, The results show that for large bubbles, the effects of relative motion will be prominent in a wide region.

关 键 词：LENGTH In Valid Regions of Formulas of Sound Speed in Bubbly Liquids 

分 类 号：O35[理学—流体力学]