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Time-dependent cavitation in a viscous fluid

机译:粘性流体中的时间依赖性空化

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摘要

Kinetics of nucleation and growth of empty bubbles in a nonvolatile incompressible fluid under negative pressure is considered within the generalized Zeldovich framework. The transient matched asymptotic solution obtained earlier for predominantly viscous nucleation is used to evaluate the distribution of growing cavities over sizes. Inertial effects described by the Rayleigh-Plesset equation are further included. The distributions are used to estimate the volume occupied by cavities, which leads to increase of pressure and eventual self-quenching of nucleation. Numerical solutions are obtained and compared with analytics. Due to rapid expansion of cavities the conventional separation of the nucleation and the growth time scales can be less distinct, which increases the role of transient effects. In particular, in the case of dominant viscosity a typical power-law tail of the quasistationary distribution is replaced by a time-dependent exponential tail. For fluids of the glycerin type such distributions can extend into the micrometer region, while in low-viscosity liquids (water, mercury) exponential distributions are short lived and are restricted to nanometer scales due to inertial effects.
机译:在通用塞尔多奇框架内考虑了在负压下的非易失性不可压缩液中空泡的核切割和生长的动力学。前面获得的瞬时匹配的渐近溶液主要用于主要是粘性成核,用于评估腔内的生长腔的分布。还包括瑞利 - Plesset方程描述的惯性效应。分布用于估计空腔所占据的容积,这导致增加压力和最终的成核的自猝灭。获得数值溶液并与分析进行比较。由于空腔的快速膨胀,常规分离成核和生长时间尺度可以不太明显,这增加了瞬态效应的作用。特别地,在主导粘度的情况下,额定分布的典型功率律尾被取代时间依赖的指数尾。对于甘油型的流体,这种分布可以延伸到千分尺区域,而在低粘度液体(水,汞)指数分布中是短的,并且由于惯性效应而被限制为纳米尺度。

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