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 language | English |
|---|---|
| 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 Jan 1 |
| Externally published | Yes |
Fingerprint
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 journal › Article
}
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-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.
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-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.
KW - Film boiling
KW - Linear stability analysis
KW - Triggering
KW - Vapor bubble groth theory
KW - Vapor explosions
UR - http://www.scopus.com/inward/record.url?scp=0036815907&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0036815907&partnerID=8YFLogxK
U2 - 10.1080/18811248.2002.9715290
DO - 10.1080/18811248.2002.9715290
M3 - Article
AN - SCOPUS:0036815907
VL - 39
SP - 1026
EP - 1032
JO - Journal of Nuclear Science and Technology
JF - Journal of Nuclear Science and Technology
SN - 0022-3131
IS - 10
ER -