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Technical Papers

Critical Mass Flux of Subcooled Liquid Leakage in a Nuclear Plant

, , , , &
Pages 1403-1410 | Received 26 Mar 2019, Accepted 09 Jul 2019, Published online: 05 Aug 2019
 

Abstract

Safety analyses of pressurized water reactors and boiling water reactors in the event of small-break loss-of-coolant accidents strongly depend on leakage rate predictions using two-phase critical flow models. The paper aims to revise the critical flow criterion and consider the nonequilibrium phenomena of critical flows in constructing a modified two-phase critical flow model. The model predictions exhibit strong similarities with the experimental values, with prediction deviations of 14.4% for mass fluxes and 19.3% for outlet pressure. The compiled code, according to the proposed model, can be exploited in pressure pipeline designs, providing the theoretical basis for leak-before-break analyses.

Nomenclature

A ==

cross-section area (m2)

D ==

equivalent diameter (m)

G ==

critical flow (kg∙m−2∙s−1)

h ==

enthalpy (kJ∙kg−1)

L ==

channel length (m)

N ==

thermodynamic nonequilibrium constant

p ==

pressure (MPa)

S ==

slip ratio

T ==

temperature (K)

u ==

flow rate (m∙s−1)

x ==

mass quality

Greek

α ==

void fraction

ΔT ==

subcooling (K)

ρ ==

density (kg∙m−3)

υ ==

specific volume (m2∙kg−1)

Subscript

c ==

critical section

e ==

equilibrium

g ==

vapor

i ==

entry

l ==

liquid

Acknowledgments

The authors appreciate the support from State Key Laboratory of Nuclear Power Safety Monitoring Technology and Equipment (number K-A2018.430) and National Natural Science Foundation (grant number 11675128) of China.

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