渐变截面热声波导管内的声流解析模型  

Analytic model of acoustic streaming in thermoacoustic waveguides with slowly varying cross-section

作　　者：范瑜晛[1] 刘克[1] 杨军[1] 

机构地区：[1]中国科学院噪声与振动重点实验室(声学研究所),北京100190

出　　处：《声学学报》2012年第3期252-262,共11页Acta Acustica

基　　金：国家自然科学基金(10574135);中国科学院知识创新工程(KICX2-YW-W02)资助项目

摘　　要：建立了二维渐变截面热声波导管内的声流模型,分别考虑了封闭直管和环形回路两种不同结构,获得了更为普适的解析结果。封闭直管结构的声流结果可应用于任意宽度的波导管,环路结构的结果考虑了渐变截面管段宽度远大于热、黏穿透深度的情形。研究结果表明,渐变截面热声波导管内的声流主要受声场结构、截面变化及轴向时均温度分布的影响,在其它参量不变时声流量值及分布随波导管特征尺度的不同而变化。该解析模型可应用于热声及其它物理背景下的声流分析。An analytic model of acoustic streaming generated in two-dimensional thermoacoustic waveguides with slowly varying cross-section is developed for more general applications.The analytical solutions of acoustic streaming characteristics in the closed straight tube and the annular tube are given based on the model.The solution for the closed straight tube can be applied to the case with any transverse scale.The solution for the annular tube is obtained under the assumption that the width of the varying cross-section part is much larger than the viscous and thermal penetration depths.The effects of cross-section variation,time-averaged temperature distribution and components of sound field are reflected in the analytic solutions.The magnitude and distribution of acoustic streaming velocity vary with the characteristic scale of the waveguides.The analytic model of acoustic streaming can be applied in research under thermoacoustic and other physical backgrounds.

关 键 词：解析模型 变截面 声波导 声流 管内 管结构 解析结果 穿透深度 

分 类 号：O422[理学—声学]