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arXiv 2402.04690physics.flu-dyn
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关于蒸气气泡生长的早期阶段:从表面张力到惯性状态

On the early stages of vapor bubble growth: From the surface-tension to the inertial regime

Orr Avni, Eran Sher, Yuval Dagan

AI总结:

本文提出一个解析模型,描述过热水液体中蒸气气泡生长早期从表面张力控制到惯性控制的转变,并量化表面张力延迟及其影响。

摘要:

本文提出了一个用于过热水液体中蒸气气泡生长早期阶段的新解析模型。该模型通过聚焦于表面张力控制、近平衡的生长状态及其向惯性控制状态的转变,填补了当前知识中的空白。通过将初始生长状态的摄动方法与互补的外解相结合,推导出了一个统一的解析模型,以模拟随后的气泡生长速率。该模型成功预测了由于表面张力效应导致的气泡生长初始延迟。两个无量纲参数控制着这一延迟期:平衡半径的初始摄动和成核起始时的奥内佐格数。奥内佐格数概括了气泡在早期生长阶段所受到的粘性阻尼与表面张力之间的相互作用。这里给出的解析解允许量化表面张力、惯性和过渡状态,同时建立了一个简单的标准来估计热效应对早期生长的影响。我们的发现强调了考虑表面张力延迟的重要性,特别是在短时间尺度上。所推导的解析解和所获得的表面张力诱导延迟的相关性可能成为一种实用工具,并可整合到现有的蒸气气泡生长模型中。

英文摘要:

This paper presents a new analytical model for the early stages of vapor bubble growth in superheated liquids. The model bridges a gap in current knowledge by focusing on the surface tension-controlled, near-equilibrium growth regime and its transition to an inertia-controlled regime. A unified analytical model is derived by combining a perturbation method for the initial growth regime with a complementary outer solution to model the subsequent bubble growth rate. The model successfully predicts the initial delay in bubble growth due to surface tension effects. Two non-dimensional parameters govern this delay period: the initial perturbation from the equilibrium radius and the Ohnesorge number at the onset of nucleation. The Ohnesorge number encapsulates the interplay between viscous damping and surface tension forces acting on the bubble during its early growth stages. The analytical solutions presented here allow for quantifying the surface-tension, inertial, and transitional regimes while establishing a simple criterion for estimating the influence of thermal effects on early-stage growth. Our findings emphasize the significance of considering the surface tension delay, particularly for short timescales. The derived analytical solutions and the obtained correlation for surface-tension-induced delay may prove a practical tool and could be integrated into existing models of vapor bubble growth.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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