Computational Simulation of Sodium Doublet Line Intensities in Multibubble Sonoluminescence

We perform a computational simulation of the fluid dynamics of sodium doublet(Na-D)line emissions from one sonoluminescing bubble among the cavitation bubbles in argon-saturated Na hydroxide(NaOH)aqueous solutions.Our simulation includes the distributions of acoustic pressures and the dynamics of cavitation bubbles by numerically solving the cavitation dynamic equation and bubble-pulsation equation.The simulation results demonstrate that when the maximum temperature inside a luminescing bubble is relatively low,two emission peaks from excited Na are prominent within the emission spectra,at wavelengths of 589.0 and 589.6 nm.As the maximum temperature of the bubble increases,the two peaks merge into one peak and the full width at half maximum of this peak increases.These calculations match with the observations of Na-D line emissions from MBSL occurring in aqueous solutions of NaOH under an argon gas.     

方波驱动下双气泡的动力学行为*

探索方波驱动下双气泡的脉动规律,能够促进方波在声空化工程中的实际应用。本文通过数值求解双气泡耦合方程组,研究了方波驱动下双气泡的动力学行为,得到了多种条件下不同时刻两个气泡半径的数值,并以此计算出气泡间的次Bjerknes力。研究表明,增大驱动频率会使得两个气泡膨胀时能达到的最大半径和次Bjerknes力减小。当两个气泡的平衡半径不同时,其中一个气泡的剧烈收缩会使得另一个气泡产生一个振动方向相反的声脉冲。随着两个气泡平衡半径差距的增加,气泡收缩的时间间隔增大。此外,当驱动声压幅值逐渐增大时,气泡脉动规律也会发生很大的变化。     

Computational simulation of ionization processes in single-bubble and multi-bubble sonoluminescence

The most recent spectroscopic studies of moving-single bubble sonoluminescence (MSBSL) and multi-bubble sonoluminescence (MBSL) have revealed that hydrated electrons (e$_{{\rm aq}}^{-}$) are generated in MSBSL but absent in MBSL. To explore the mechanism of this phenomenon, we numerically simulate the ionization processes in single- and multi-bubble sonoluminescence in aqueous solution of terbium chloride (TbCl$_{3}$). The results show that the maximum degree of ionization of single-bubble sonoluminescence (SBSL) is approximately 10000 times greater than that of MBSL under certain special physical parameters. The hydrated electrons (e$_{{{\rm aq}}}^{-}$) formed in SBSL are far more than those in MBSL provided these electrons are ejected from a bubble into a liquid. Therefore, the quenching of e$_{{{\rm aq}}}^{-}$ to SBSL spectrum is stronger than that of the MBSL spectrum. This may be the reason that the trivalent terbium [Tb(III)] ion line intensities from SBSL in the TbCl$_{3}$ aqueous solutions with the acceptor of e$_{{{\rm aq}}}^{-}$ are stronger than those of TbCl$_{3}$ aqueous solutions without the acceptor of e$_{{{\rm aq}}}^{-}$. Whereas the Tb(III) ion line intensities from MBSL are not variational, which is significant for exploring the mechanism behind the cavitation and sonoluminescence.     

观测包膜微泡在超声场中的动力学行为

运用长距离显微成像系统与锁相积分拍摄技术相结合的方法, 拍到了单个造影剂微泡在两种不同频率和不同声压下的周期性振动图像. 根据这些图像得到了微泡直径的实验数据, 并分别用Hoff模型和Rayleigh-Plesset模型对数据进行拟合, 并对数据进行了频谱分析. 结果表明:Hoff模型对实验数据的拟合结果优于Rayleigh-Plesset模型的拟合结果; 二次谐波的相对强度随着声压幅度的升高而增大. 关键词： 包膜微泡 锁相积分拍摄方法 频谱     

(2+1)-维色散长波方程的折叠孤立波解

本文利用一种该进的映射法和线性变量分离法,得到（2+1）-维色散长波方程大量的,带有两个任意函数的精确解。并在得到的一个周期波精确解的基础上,通过选择恰当的函数,可以观察到（2+1）-维色散长波方程的折叠孤立波的演化行为。