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Rayleigh-Taylor instability for thin viscous gas films: Application to critical heat flux and minimum film boiling

机译:薄粘性气体膜的瑞利-泰勒不稳定性:应用于临界热通量和最小的膜沸腾

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摘要

A number of hydrodynamic models for critical heat flux and minimum film boiling rely on interfacial instability theories. Rayleigh-Taylor instability is one of the important theories, and has been usually analyzed for inviscid flows. An inviscid flow analysis is acceptable for general circumstances. However, when the gas film becomes thin to the extent of creeping flow, the viscous force is dominant over the inertia force, and thus the gas viscosity cannot be neglected. In this study, four approaches are considered for Rayleigh-Taylor instability: (1) classical inviscid flow analysis, (2) viscous potential flow analysis, (3) fully viscous flow analysis, and (4) lubrication theory. In particular, the dispersion relation including phase change is derived based on the lubrication approximation. It is shown that the most dangerous wavelength should be λ_d = 2π[2σ/(△ρg)]~(1/2) instead of λ_d = 2π[3σ/(△ρg)]~(1/2) for thin viscous gas film. This result is applied to the existing critical heat flux models for saturated pool boiling on horizontal surfaces. As a result, the prediction accuracy is improved at elevated pressures. In addition, the most dangerous wavelength and the most rapid growth rate for viscous thin films are shown to be applicable to the minimum heat flux condition.
机译:用于临界热通量和最小薄膜沸腾的许多流体动力学模型都依赖于界面不稳定性理论。 Rayleigh-Taylor不稳定性是重要的理论之一,通常已对不粘稠的流动进行了分析。在一般情况下,无粘性流量分析是可以接受的。然而,当气体膜变薄到蠕变流动的程度时,粘性力比惯性力占优势,因此不能忽略气体粘度。在这项研究中,考虑了四种方法来解决Rayleigh-Taylor的不稳定性:(1)经典无粘性流分析,(2)粘性势流分析,(3)完全粘性流分析和(4)润滑理论。特别地,基于润滑近似推导包括相变的色散关系。结果表明,对于稀薄的粘性气体,最危险的波长应该是λ_d=2π[2σ/(△ρg)]〜(1/2)而不是λ_d=2π[3σ/(△ρg)]〜(1/2)电影。该结果被应用于现有的临界热通量模型,用于在水平表面上进行饱和池沸腾。结果,在升高的压力下提高了预测精度。另外,对于粘性薄膜,最危险的波长和最快速的生长速率已显示适用于最小热通量条件。

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  • 作者单位

    Thermal-Hydraulic Safety Research Division, Korea Atomic Energy Research Institute, 111, Daedeok-daero 989, Yuseong-gu, Daejeon 305-353, Republic of Korea;

    Thermal-Hydraulic Safety Research Division, Korea Atomic Energy Research Institute, 111, Daedeok-daero 989, Yuseong-gu, Daejeon 305-353, Republic of Korea;

    Thermal-Hydraulic Safety Research Division, Korea Atomic Energy Research Institute, 111, Daedeok-daero 989, Yuseong-gu, Daejeon 305-353, Republic of Korea;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Rayleigh-Taylor instability; Thin gas film; Critical heat flux; Minimum film boiling;

    机译:瑞利-泰勒不稳定性;薄气膜;临界热通量;最小薄膜沸腾;

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