A Linear Stability Analysis of a Vapor Film in Terms of the Triggering of Vapor Explosions

Masahiro Furuya, Kunihito Matsumura, Izumi Kinoshita

Research output: Contribution to journalArticle

17 Citations (Scopus)

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 104W/m2·K and the hot-liquid temperature is lower than 2,000°C.

Original languageEnglish
Pages (from-to)1026-1032
Number of pages7
JournalJournal of Nuclear Science and Technology
Volume39
Issue number10
DOIs
Publication statusPublished - 2002 Jan 1
Externally publishedYes

Fingerprint

Linear stability analysis
Explosions
explosions
Vapors
vapors
Liquids
liquids
Heat transfer coefficients
Condensation
heat transfer coefficients
Viscosity of liquids
condensation
occurrences
Rayleigh equations
Heat radiation
conservation equations
Surface tension
thermophysical properties
thermal radiation
ideal gas

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

A Linear Stability Analysis of a Vapor Film in Terms of the Triggering of Vapor Explosions. / Furuya, Masahiro; Matsumura, Kunihito; Kinoshita, Izumi.

In: Journal of Nuclear Science and Technology, Vol. 39, No. 10, 01.01.2002, p. 1026-1032.

Research output: Contribution to journalArticle

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