### Abstract

A detailed analytical model to explain the vapor film collapse was developed to evaluate the occurrence conditions of self-triggering vapor explosions. The following conclusions were drawn based on linear stability analysis using the thermo-physical property of water, by linearizing and perturbing basic equations (Rayleigh-Lamb-Plesset's bubble momentum equation, the mass conservation equation, the state equation for ideal gas, and the Clausius-Clapeyron equation). The vapor film stabilizes with the reduction of the hot-liquid diameter, decrease of the condensation heat transfer coefficient, or increase of the thermal radiation coefficient. The cold-liquid viscosity and surface tension have a stabilizing effect, though this effect is negligibly small when the hot-liquid diameter is over 1 mm. The analysis predicts the vapor explosion occurrence limits obtained experimentally by other researchers within approximately 10 K. A simple correlation for the stability boundary is proposed by simplifying the above detailed model: the difference in cold-liquid temperature at the stability boundary between these models is less than 1 K when the condensation heat transfer coefficient is over 10^{4}W/m^{2}·K and the hot-liquid temperature is lower than 2,000°C.

Original language | English |
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Pages (from-to) | 1026-1032 |

Number of pages | 7 |

Journal | Journal of Nuclear Science and Technology |

Volume | 39 |

Issue number | 10 |

DOIs | |

Publication status | Published - 2002 Oct |

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### Keywords

- Film boiling
- Linear stability analysis
- Triggering
- Vapor bubble groth theory
- Vapor explosions

### ASJC Scopus subject areas

- Nuclear and High Energy Physics
- Nuclear Energy and Engineering

### Cite this

*Journal of Nuclear Science and Technology*,

*39*(10), 1026-1032. https://doi.org/10.1080/18811248.2002.9715290