摘要
从气泡动力学出发,建立了双气泡在外加声场作用下的运动方程,对气泡间的相互作用力进行了研究.研究结果表明:考虑到气泡之间相互作用后,气泡的运动方程、谐振频率、谐振时半径的变化情况明显与单个气泡不同,这些参数不只与气泡各自的初始半径,外加声压强度,液体的黏滞性等因素有关,还与它们之间距离和相对另一气泡的初始半径有关.研究发现:气泡的谐振频率与它们之间距离有关,随着气泡之间距离的增大,其谐振频率在不断减小.但当它们之间的距离增大到某一值时,其谐振频率趋于一定值.这也可以理解为当气泡相对较远时它们之间的相互作用对其影响可以忽略,此时的谐振频率即为单泡的谐振频率.对于谐振时它们的半径变化而言,两气泡之间的作用是相互抑制的,但气泡的初始半径的不同,这种抑制作用的强、弱不同.气泡初始半径相同的气泡,相互抑制作用较弱,数值计算表现出半径相同时其谐振半径的变化幅度要大于半径不同时的结果.
Started from the bubble dynamics, establish a double bubble in the external field under the action of the equations of motion of bubbles, the interaction was studied. Research results show that： considered the interaction between bubbles, bubble movement equation, resonance frequency, resonance when the radius of the changes was signifi- cantly associated with a single bubble is different, these parameters not only with their initial bubble radius, and sound intensity, liquid viscosity and other factors are also associated with the distance between them and the relative of another bubble initial radius. When the bubble radius is large, the mutual influence between them more strong. The result is that the effect of vibration reduction. Study finds： the bubble resonance frequency and the distance between them, with the increase of the distance between air bubbles, the resonant frequency in decreasing. But when the distance between them is increased to a certain value, the resonance frequency tends to a certain value. It can also be understood as when the bubble is relatively far from the interactions between them on its influence can be neglected, the resonant frequency of the resonant frequency for single bubble. For a harmonic oscillator are radius variation, between the two bubbles is the role of mutual inhibition, but the bubble radius is different, this inhibition of strong and weak, different. Bubble initial radius identical bubbles, mutual inhibition is weaker, numerical calculation shows the same radius of the resonance radius greater than the radius of the results.
出处
《中国科学：物理学、力学、天文学》
CSCD
北大核心
2013年第3期249-256,共8页
Scientia Sinica Physica,Mechanica & Astronomica
基金
陕西省自然科学基金(编号:2009JQ1005)
西安科技大学培育基金(编号:2010044)资助项目
关键词
气泡
超声
谐振频率
气泡半径
bubble, acoustic field, resonant frequency, bubble radius
