Abstract
Film condensation is a vital phenomenon in the nuclear engineering applications, such as the gas–steam pressurizer design, and heat removing on containment in the case of postulated accident. Reynolds number in film condensation can be calculated from either the mass relation or the energy relation, but few researches have distinguished the difference between them at present. This paper studies the effect of Reynolds correlation in the natural convection film condensation on the outer tube. The general forms of the heat transfer coefficient correlation of film condensation are developed in different flow regimes. By simultaneously solving a set of the heat transfer coefficient correlations with Re mass and Re energy, the general expressions for Re mass and Re energy and the relation between the corresponding heat transfer coefficients are obtained. In the laminar and wave-free flow regime, Re mass and Re energy are equivalent, while in the laminar and wavy flow regime, Re mass is much smaller than Re energy, and the deviation of the corresponding average heat transfer coefficients is about 30% at the maximum. In the turbulent flow regime, the relation of Re mass and Re energy is greatly influenced by Prandtl number. The relative deviation of their average heat transfer coefficients is the nonlinear function of Reynolds number and Prandtl number. Compared with experimental results, the heat transfer coefficient calculated from Re energy is more accurate.
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Abbreviations
- C :
-
Variable coefficient
- Cp:
-
Constant pressure-specific heat [J/(K kg)]
- G :
-
Acceleration of gravity (m/s2)
- h :
-
Condensation heat transfer coefficient [W/(m2 K)]
- h fg :
-
Latent heat of vaporization (J/kg)
- h ′fg :
-
Modified latent heat of vaporization (J/kg)
- \( \bar{h} \) :
-
Average heat transfer coefficient [W/(m2 K)]
- k :
-
Thermal conductivity (W/m K)
- L :
-
Length (m)
- m :
-
Variable coefficient
- n :
-
Variable coefficient
- Pr :
-
Prandtl number
- Re :
-
Reynolds number
- s :
-
Variable coefficient
- T :
-
Temperature (K)
- μ :
-
Viscosity (Pa s)
- Г :
-
Mass flow rate of condensate (kg/s)
- ε :
-
Coefficient
- ρ :
-
Density (kg/m3)
- δ :
-
Thickness of condensation film (m)
- ∆:
-
Difference
- 1:
-
Laminar and wavy flow regime
- 2:
-
Turbulent flow regime
- b:
-
Bulk
- energy:
-
Based on energy relation
- f:
-
Liquid phase
- g:
-
Gas phase
- l:
-
Liquid phase
- mass:
-
Based on mass relation
- sat:
-
Saturation
- w:
-
Wall
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This work was supported by Doctoral Fund of Ministry of Education of China (No. 20130002120016), the Science Found for Creative Groups of National Natural Science Foundation of China (No. 51321002), and the project of “Research and validation of key technology and device for NHR200-II nuclear heating reactor”.
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Wu, L., Jia, HJ., Ma, XZ. et al. Research on the effect of Reynolds correlation in natural convection film condensation. NUCL SCI TECH 28, 85 (2017). https://doi.org/10.1007/s41365-017-0240-9
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DOI: https://doi.org/10.1007/s41365-017-0240-9