论文标题
在腔体演变和雷利 - 超富氦中的植物方程式
On the cavity evolution and the Rayleigh--Plesset equation in superfluid helium
论文作者
论文摘要
根据两流体流体动力学，获得了超级流体氦气中球形气泡的动力学的著名雷利 - 植物方程的类似物。质量流速度$ v $和普通组件$ v_ {n} $的速度被选为自变量。由于HEII的两流体性质，出现了边界位置的进化方程中的跨项$ \ r（t）$，在普通流体中经典的雷利 - 插图方程中不存在。其中一个重新统治了$（dr/dt）^{2} $面前的系数。另一个与粘性术语正式相吻合的额外术语描述了边界振荡的衰减。与HEI相比，这个“超阻尼”术语大大超过了通常的粘性术语，导致腔动力学的差异显着差异。特别是，这导致了在许多作品中观察到的蒸气 - 液化边界振荡异常抑制的有趣作用。还有一个与正常分量的平方速度成正比的额外术语，该期限与派生$ DR/DT $无关，并且可以包含在压降中。它的物理含义是它描述了正常分量流动产生的类似“ bernoulli”的压力。所获得的结果声明，应审查超流体氦中腔动力学的一些结果
On the basis of the two-fluid hydrodynamics, an analogue of the famous Rayleigh-Plesse equation for the dynamics of a spherical bubble in superfluid helium is obtained. The mass flow velocity $v$ and the velocity of the normal component $v_{n}$ were chosen as independent variables. Due to the two-fluid nature of HeII, the cross terms in the evolution equation for the boundary position $\ R(t)$ appeared, which were absent in classical Rayleigh-Plesset equation in ordinary fluids. One of them renormilizes the coefficient in front of $(dR/dt)^{2}$. Another additional term formally coinciding with the viscous term, describes the attenuation of the boundary oscillations. This "extra-damping" term, greatly exceeding the usual viscous term, leads to a significant difference in the dynamics of cavity compared to HeI. In particular, this results in the interesting effect of abnormal suppression of oscillations of the vapor--liquid boundary observed in many works. There is also an additional term proportional to the squared velocity of the normal component, which is independent of the derivative $dR/dt$, and can be included in the pressure drop. Its physical meaning is that it describes a "Bernoulli" -like pressure created by the flow of a normal component. The obtained result declares that some results on the dynamics of the cavity in superfluid helium should be reviewed
