液体内含气泡时的传声特性研究  

Propagation of Acoustic Wave in Bubble-liquid Medium

作　　者：姚文苇[1] 

机构地区：[1]陕西学前师范学院,西安710100

出　　处：《科学技术与工程》2014年第28期188-190,219,共4页Science Technology and Engineering

基　　金：陕西教育学院科研基金项目(11KJ022);陕西省科技厅科研计划项目(2011JM1018)资助

摘　　要：利用球贝塞尔函数及汉克儿函数,气液交界处的质点振动速度和应力的连续条件,研究了声波在气-液两相介质内的传播特性。基于波数与区域半径乘积小于1的条件下,求解了两相介质内声传播的参数,即等效弹性系数、等效密度、声速及衰减系数;并得到声速及衰减系数随气泡体积比的变化曲线。结果表明,气泡的存在使声速下降,衰减系数增大,气泡的半径大小对其有一定的影响;声波频率偏低时,气泡对声速影响较明显;频率较高时,声波的能量损失较大。所得的结论与文献中的结果的相似,其结果将为含气泡液体内声传播的应用提供重要的理论依据。By spheric Bessel function and Hankel function, with the help of boundary conditions of vibration velocity and stress, the propagation of acoustic wave in bubble-liquid is investigated. Under the condition that the product of wave number and the radius of the area is much smaller than 1, the parameters related to acoustic propa- gation, such as sound speed, coefficient of attenuation, equivalent elastic coefficient and equivalent density, are calculated; the curves of acoustic velocity and coefficient of attenuation with the change of bubble volume fraction are plotted. The result shows that acoustic velocity decreases and coefficient of attenuation increases when bubble exists in liquid; and the change of bubble radius will influence acoustic velocity and coefficient of attenuation. The influence of bubble on acoustic velocity is obvious at low frequencies; but energy loss is obvious at high frequencies. The result is similar to the conclusions of some literatures. This may be helpful to the research and application of the acoustic properties of bubble-liquid mixture.

关 键 词：等效波数 等效密度 声特性 气泡 

分 类 号：TB525[理学—物理]