Abstract
The objective of the current study is to better understand the interfacial structure and its development in an air–water planar bubble jet, as well as to provide a unique benchmark data set for a 3D thermal-hydraulic analysis code. Both flow visualization and local measurements were performed in three characteristic flow conditions at four elevations along a test section with a cross section of 200 mm in width and 10 mm in gap. A high-speed digital video camera was applied in the flow visualization study to capture the flow structures and bubble interaction phenomena, while a miniaturized four-sensor conductivity probe was used to acquire the time-averaged local void fraction, interfacial velocity, and bubble number frequency. Also, the interfacial area concentration and the averaged bubble Sauter mean diameter were obtained from the local measurements. The lateral bubble transport and bubble interaction mechanisms were clearly demonstrated in the acquired data.
Similar content being viewed by others
Abbreviations
- A :
-
Cross-sectional area (m2)
- a i :
-
Interfacial area concentration (1/m)
- D d, max :
-
Maximum distorted bubble limit (m)
- D h :
-
Hydraulic diameter of test section (m)
- D sm :
-
Sauter mean diameter of bubbles (m)
- f :
-
Parameter in Eq. 2
- G :
-
Gap of test section (m)
- g :
-
Gravitational acceleration (m/s2)
- j :
-
Volumetric flux (superficial velocity) (m/s)
- L :
-
Vertical distance from the inlet of the test section (m)
- N :
-
Bubble number frequency (1/s)
- v :
-
Velocity (m/s)
- W :
-
Width of test section (m)
- x :
-
Coordinate in width direction
- y :
-
Coordinate in gap direction
- z :
-
Coordinate in axial direction
- α :
-
Void fraction
- σ :
-
Surface tension (N/m)
- Δρ:
-
Density difference between two phases (kg/m3)
- 0:
-
Gas property at standard condition
- 1:
-
Group-1 bubbles
- 2:
-
Group-2 bubbles
- f :
-
Liquid phase
- g :
-
Gas phase
- x :
-
Distribution in x direction
- < >:
-
Area averaging
- << >>:
-
Void-weighted area averaging
References
Fu XY (2001) Interfacial area measurement and transport modeling in air-water two-phase flow. PhD thesis, School of Nuclear Engineering, Purdue University, West Lafayette, Indiana
Hewitt GF (1978) Measurement of two-phase flow parameters. Academic Press, New York
Ishii M (1975) Thermo-fluid dynamic theory of two-phase flow. Eyrolles, Paris
Ishii M (1977) One-dimensional drift-flux model and constitutive equations for relative motion between phases in various two-phase flow regimes. Argonne National Laboratory, Argonne, Illinois, ANL-77–47
Ishii M, Zuber N (1979) Drag coefficient and relative velocity in bubbly, droplet or particulate flows. AIChE J 25:843–855
Kalkach-Navarro S, Lahey RT Jr, Drew DA, Meyder R (1993) Interfacial area density, mean radius and number density measurements in bubbly two-phase flow. Nucl Eng Des 142:341–351
Kataoka I, Ishii M, Serizawa A (1986) Local formulation and measurements of interfacial area concentration in two-phase flow. Int J Multiphase Flow 12:505–529
Kim S (1999) Interfacial area transport equation and measurement of local interfacial characteristics. PhD thesis, School of Nuclear Engineering, Purdue University, West Lafayette, Indiana
Kim S, Fu XY, Wang X, Ishii M (2000) Development of the miniaturized four-sensor conductivity probe and the signal processing scheme. Int J Heat Mass Trans 43:4101–4118
Kim S, Ishii M, Wu Q, McCreary D, Beus SG (2002) Interfacial structures of confined air–water two-phase bubbly flow. Exp Thermal Fluid Sci 26:461–472
Kim S, Sun X, Ishii M, Beus SG (2003) Interfacial area transport and evaluation of source terms for confined air–water bubbly flow. Nucl Eng Des 219:61–75
Kocamustafaogullari G, Huang WD, Razi J (1994) Measurement and modeling of average void fraction, bubble size and interfacial area. Nucl Eng Des 148:437–453
Neal LG, Bankoff SG (1963) A high resolution resistivity probe for determination of local void properties in gas–liquid flow. AIChE J 9:490–494
Revankar ST, Ishii M (1992) Local interfacial area measurement in bubbly flow. Int J Heat Mass Trans 35:913–925
Sun X (2001) Two-group interfacial area transport equation for a confined test section. PhD thesis, School of Nuclear Engineering, Purdue University, West Lafayette, Indiana
Sun X, Kim S, Ishii M, Beus SG (2004a) Modeling of bubble coalescence and disintegration in confined upward two-phase flow. Nucl Eng Des 230:3–26
Sun X, Kim S, Ishii M, Beus SG (2004b) Model evaluation of two-group interfacial area transport equation for confined upward flow. Nucl Eng Des 230:27–47
Sun X, Kim S, Cheng L, Ishii M, Beus SG (2004c) Interfacial structures in confined cap-turbulent and churn-turbulent flows. Int J Heat Fluid Flow 25:44–57
Taitel Y, Bornea D, Dukler AE (1980) Modelling flow pattern transitions for steady upward gas–liquid flow in vertical tubes. AIChE J 26:345–354
Wu Q, Ishii M (1999) Sensitivity study on double-sensor conductivity probe for the measurement of interfacial area concentration in bubbly flow. Int J Multiphas Flow 25:155–173
Wu Q, Kim S, Ishii M, Beus SG (1998) One-group interfacial area transport in vertical bubbly flow. Int J Heat Mass Trans 41:1103–1112
Acknowledgements
This work was performed under the auspices of Bechtel Bettis Inc. The authors at Purdue University greatly appreciate this support.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Sun, X., Vasavada, S., Choi, S.W. et al. Interfacial structure in an air–water planar bubble jet. Exp Fluids 38, 426–439 (2005). https://doi.org/10.1007/s00348-004-0921-0
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00348-004-0921-0