### 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-dynamic 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, decreasing the condensation heat transfer coefficient, and increasing the thermal radiation coefficient. The cold-liquid viscosity and surface tension have a stabilizing effect, though this effect is negligibly small where the hot liquid diameter is over 1 mm. The analysis predicts the vapor explosion occurrence limits obtained experimentally by other researchers to within approximately 10 K.

Original language | English |
---|---|

Pages (from-to) | 3176-3182 |

Number of pages | 7 |

Journal | Nippon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B |

Volume | 68 |

Issue number | 675 |

DOIs | |

Publication status | Published - 2002 Jan 1 |

Externally published | Yes |

### Fingerprint

### Keywords

- Bubble Groth Theory
- Film Boiling
- Linear Stability Analysis
- Triggering
- Vapor Explosions

### ASJC Scopus subject areas

- Condensed Matter Physics
- Mechanical Engineering

### Cite this

*Nippon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B*,

*68*(675), 3176-3182. https://doi.org/10.1299/kikaib.68.3176

**A linear stability analysis of a vapor film in terms of the triggering of vapor explosions.** / Furuya, Masahiro; Matsumura, Kunihito; Kinoshita, Izumi.

Research output: Contribution to journal › Article

*Nippon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B*, vol. 68, no. 675, pp. 3176-3182. https://doi.org/10.1299/kikaib.68.3176

}

TY - JOUR

T1 - A linear stability analysis of a vapor film in terms of the triggering of vapor explosions

AU - Furuya, Masahiro

AU - Matsumura, Kunihito

AU - Kinoshita, Izumi

PY - 2002/1/1

Y1 - 2002/1/1

N2 - 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-dynamic 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, decreasing the condensation heat transfer coefficient, and increasing the thermal radiation coefficient. The cold-liquid viscosity and surface tension have a stabilizing effect, though this effect is negligibly small where the hot liquid diameter is over 1 mm. The analysis predicts the vapor explosion occurrence limits obtained experimentally by other researchers to within approximately 10 K.

AB - 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-dynamic 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, decreasing the condensation heat transfer coefficient, and increasing the thermal radiation coefficient. The cold-liquid viscosity and surface tension have a stabilizing effect, though this effect is negligibly small where the hot liquid diameter is over 1 mm. The analysis predicts the vapor explosion occurrence limits obtained experimentally by other researchers to within approximately 10 K.

KW - Bubble Groth Theory

KW - Film Boiling

KW - Linear Stability Analysis

KW - Triggering

KW - Vapor Explosions

UR - http://www.scopus.com/inward/record.url?scp=0036874036&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0036874036&partnerID=8YFLogxK

U2 - 10.1299/kikaib.68.3176

DO - 10.1299/kikaib.68.3176

M3 - Article

AN - SCOPUS:0036874036

VL - 68

SP - 3176

EP - 3182

JO - Nihon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B

JF - Nihon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B

SN - 0387-5016

IS - 675

ER -