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Effect of two-group void fraction covariance correlations on interfacial drag predictions for two-fluid model calculations in large diameter pipes

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Abstract

Void fraction covariance has been introduced into the interfacial drag calculation used to close the one-dimensional two-fluid model. A model for void fraction covariance has been developed for large diameter pipes. The newly developed model has been compared with two previously developed models in terms of void fraction prediction accuracy. The effects of these additions on the void fraction prediction uncertainty have been evaluated utilizing a computational tool developed in MATLAB. The results indicate that there are small differences in the void fraction prediction between the models evaluated and the two-fluid model without void fraction covariance. Higher void fractions above 0.7 show the most significant changes. However, the differences in the uncertainty are not significant when compared to the uncertainty in the data used for the comparison. The results highlight a need for additional data for higher void fractions, collected with steam-water systems in large diameter pipes.

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Abbreviations

a i :

Interfacial area (m−1)

C 0 :

Distribution parameter (—)

C α :

Void fraction covariance (—)

D :

Diameter (m)

g :

Gravitational acceleration (m/s2)

j :

Volumetric flux (m/s)

M :

Interfacial drag (N/m3)

v :

Velocity (m/s)

v gj :

Drift velocity (m/s)

z :

Axial position (m)

α :

Void fraction (—)

Δρ :

Density difference (kg/m3)

μ :

Dynamic viscosity (Pa·s)

ρ :

Density (kg/m3)

σ :

Surface tension (N/m)

1:

Bubble group 1

2:

Bubble group 2

c:

Critial value

f:

Value for liquid

g:

Value for gas

i :

Index for experimental condition

j :

Index for measurement location

r:

Relative velocity

Sm :

Sauter mean value

< >:

Area average

≪ ≫:

Void weighted area average abl]Declaration of competing interest

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Authors and Affiliations

  1. Department of Nuclear Engineering and Radiation Sciences, Missouri University of Science and Technology, 301 W 14th St, Rolla, MO, 65401, USA

    Alexander Swearingen, Sean Drewry & Joshua P. Schlegel

  2. School of Nuclear Engineering, Purdue University, 516 Northwestern Ave, West Lafayette, IN, 47907, USA

    Takashi Hibiki

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  1. Alexander Swearingen
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  2. Sean Drewry
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  3. Joshua P. Schlegel
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  4. Takashi Hibiki
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Correspondence to Joshua P. Schlegel.

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Swearingen, A., Drewry, S., Schlegel, J.P. et al. Effect of two-group void fraction covariance correlations on interfacial drag predictions for two-fluid model calculations in large diameter pipes. Exp. Comput. Multiph. Flow 5, 221–231 (2023). https://doi.org/10.1007/s42757-022-0138-6

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