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Correlation of Interfacial Friction Coefficients for Predicting Countercurrent Flow Limitation at a Sharp-Edged Lower End of Vertical Pipes

[+] Author and Article Information
Michio Murase

Mem. ASME
Institute of Nuclear Technology,
64 Sata, Mihama-cho, Miata-gun,
Fukui 919-1205, Japan
e-mail: murase@inss.co.jp

Takayoshi Kusunoki

Institute of Nuclear Technology,
64 Sata, Mihama-cho, Mikata-gun,
Fukui 919-1205, Japan
e-mail: kusunoki.takayoshi@inss.co.jp

Koji Nishida

Institute of Nuclear Technology,
64 Sata, Mihama-cho, Mikata-gun,
Fukui 919-1205, Japan
e-mail: nishida.koji@inss.co.jp

Raito Goda

Graduate School of Engineering,
Kobe University,
1-1 Rokkodai, Nada-ku,
Kobe-shi 657-8501, Hyogo, Japan
e-mail: goda@cfrg.scitec.kobe-u.ac.jp

Akio Tomiyama

Graduate School of Engineering,
Kobe University,
1-1 Rokkodai, Nada-ku,
Kobe-shi 657-8501, Hyogo, Japan
e-mail: tomiyama@mech.kobe-u.ac.jp

1Corresponding author.

Manuscript received May 25, 2017; final manuscript received February 15, 2018; published online May 16, 2018. Assoc. Editor: Walter Ambrosini.

ASME J of Nuclear Rad Sci 4(3), 031001 (May 16, 2018) (8 pages) Paper No: NERS-17-1057; doi: 10.1115/1.4039438 History: Received May 25, 2017; Revised February 15, 2018

One-region (1-R) sensitivity computations with the annular-flow model were carried out for countercurrent flow limitation (CCFL) at a sharp-edged lower end in vertical pipes to generalize the prediction method for CCFL there (i.e., predicting effects of diameters and fluid properties on CCFL characteristics). In our previous study, we selected a correlation of interfacial friction coefficients, fi, with a function of average void fraction which gave a good prediction of the trend for air–water CCFL data, and we modified it to get good agreement with steam–water CCFL data under atmospheric pressure conditions, but it failed to predict CCFL reasonably at high pressure conditions. We recently found a Russian report on CCFL data at high pressure conditions, by which we improved the fi correlation using the dimensionless diameter and the viscosity ratio or density ratio of gas and liquid phases to get good agreement with CCFL data at high pressures. The improved fi correlation with the viscosity ratio and the improved fi correlation with the density ratio gave similar computed results, but the number of adjustment functions was one for the density ratio and two for the viscosity ratio (i.e., minimum value of two functions).

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Figures

Grahic Jump Location
Fig. 2

Features of CCFL-L [24]: (a) effects of μG/μL on m and CW and (b) CCFL characteristics (S–W, steam‐water)

Grahic Jump Location
Fig. 3

Adjustment factors, Nfi and Na, for the fi correlation, Eq.(12), with functions of the viscosity ratio, μG/μL, and the dimensionless diameter, D* (A, air; S, steam; W, water): (a) effects of μG/μL on Nfi and (b) effects of D* on Na

Grahic Jump Location
Fig. 1

Countercurrent flow limitation constants, CK, in vertical pipes [20]

Grahic Jump Location
Fig. 4

Comparison between computed values with Eq. (15) and experimental values

Grahic Jump Location
Fig. 7

Prediction of CCFL characteristics at P = 7 MPa (A, air; S, steam; W, water): (a) D = 20 mm and (b) D = 51 mm

Grahic Jump Location
Fig. 5

Adjustment factors, Nfi and Na, for the fi correlation, Eq. (12), with functions of the density ratio, ρG/ρL, and the dimensionless diameter, D* (A, air; S, steam; W, water): (a) effects of ρG/ρL on Nfi and (b) effects of D* on Na

Grahic Jump Location
Fig. 6

Comparison between values computed with Eq. (16) and experimental values

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