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Bubble expansion rates in viscous compressible liquid

机译：粘性可压缩液体中的气泡膨胀率

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A new equation has been derived for radial expansion of a bubble in viscous liquid, taking into account the compressibility of liquid. This model is important in understanding the time-evolution of the bubble growth in a cavitating flow. We solved the equation of motion of viscous liquid and obtained the velocity field and the pressure distribution in liquid. It is found that the expansion rate of a bubble in viscous compressible liquid is governed by the friction force due to viscosity as well as the surface tension, the inertial force, and the gas pressure. Further, the bubble expansion rate is brought by the same expression to that in an incompressible liquid only in the case that the liquid is in a hydrostatic state before the bubble grows.
机译：考虑到液体的可压缩性，已经得出了一个新的方程式，用于在粘性液体中气泡的径向膨胀。该模型对于理解空化流中气泡增长的时间演变很重要。我们求解了粘性液体的运动方程，得到了液体中的速度场和压力分布。已经发现，在粘性可压缩液体中气泡的膨胀率受粘度引起的摩擦力以及表面张力，惯性力和气压的影响。此外，仅在液体在气泡生长之前处于流体静压状态的情况下，气泡膨胀率才与不可压缩液体中的气泡膨胀率相同。

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