Abstract
Models of annular flow often focus on the liquid film at the periphery of the flow channel. Recent two-region models have used wave intermittency as a measurement of the disturbance wave contribution to gas-to-liquid momentum transfer and pressure loss. Data reduction algorithms for film thickness distribution, from planar laser-induced fluorescence imaging; and disturbance wave intermittency, from high-speed, backlit videos, have been improved. The revised data reduction results are then considered with regard to a recent two-region model. Outputs of average film thickness, pressure gradient, and average wave velocity are modeled with mean absolute errors of 8.70, 17.42, and 19.14 %, respectively.
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- c B :
-
Empirical parameter in Hurlburt friction factor
- C 1 :
-
Parameter in morphological radius computation (m)
- C 2 :
-
Parameter in morphological radius computation (m)
- D :
-
Tube diameter (m)
- dP/dz :
-
Pressure gradient (Pa m−1)
- INT:
-
Intermittency
- L :
-
Length (m)
- \(\dot{m}\) :
-
Mass flow rate (kg s−1)
- R oc :
-
Morphological radius (pixels)
- Re :
-
Reynolds number
- \(\overline{U_{g,\text{trans}}}\) :
-
Characteristic gas velocity at base/wave transition (m s −1)
- s():
-
(Sample) standard deviation
- U s :
-
Superficial velocity (m s−1)
- v :
-
Velocity (general) (m −1)
- x :
-
Flow quality
- y :
-
Coordinate perpendicular to wall (m)
- z :
-
Coordinate in flow direction (m)
- γ :
-
Parameter in contrast adjustment
- δ :
-
Film thickness (m)
- μ :
-
Dynamic viscosity (kg m−1 s−1)
- ρ :
-
Density (kg m−3)
- τ :
-
Shear (Pa)
- τ :
-
Characteristic shear as base/wave transition (Pa)
- ϕ RR :
-
Roughness multiplier
- base:
-
Pertains to base film
- core:
-
Pertains to core
- g :
-
Pertains to gas
- i :
-
Pertains to gas–liquid interface
- l :
-
Pertains to liquid
- Quartz:
-
Pertains to quartz tube data
- wave:
-
Pertains to waves
- +:
-
Non-dimensionalized (wall coordinate)
References
Asali JC, Hanratty TJ, Andreussi P (1985) Interfacial drag and film height for vertical annular flow. AIChE J 31(6):895–902
Azzopardi BJ (1986) Disturbance wave frequencies, velocities and spacing in vertical annular two-phase flow. Nucl Eng Des 92(2):121–133
Azzopardi BJ (1997) Drops in annular two-phase flow. International Journal of Multiphase Flow, 23 (Supplement): 1–53
Brown RC, Andruessi P, Zanelli S (1978) The use of wire probes for the measurement of liquid film thickness in annular gas-liquid flows. Can J Che Eng 56:754–757
Fore LB, Beus SG, Bauer RC (2000) Interfacial friction in gas-liquid annular flow: analogies to full and transition roughness. Int J Multiph Flow 26:1755–1769
Fossa M (1998) Design and performance of a conductance probe for measuring the liquid fraction in two-phase gas-liquid flows. Flow Measurement Instrum 9:103–109
Hewitt GF, Hall Taylor NS (1970) Annular Two-Phase Flow. Pergamon Press, Oxford
Hewitt GF, Jayanti S, Hope CB (1990) Structure of thin liquid films in gas–liquid horizontal flow. Int J Multiph Flow 16(6):951–957
Hurlburt ET, Fore LB, Bauer RC (2006) A two zone interfacial shear stress and liquid film velocity model for vertical annular two-phase flow. In: Proceedings of the ASME fluids engineeering division summer meeting 2006, vol 2, pp 677–684, Miami, 2006
Owen DG, Hewitt GF.: (1987) An improved annular two-phase flow model. In: Proceedings of 3rd international conference on multi-phase flow, pp 73–84, The Hague, Netherlands
Rodríguez DJ, Shedd TA (2004) Cross-sectional imaging of the liquid film in horizontal two-phase annular flow. In: Proceedings of 2004 ASME heat transfer/fluids engineering summer conference, Charlotte, Paper 56445
Schubring D, Shedd TA (2011) A model for pressure loss, film thickness, and entrained fraction for gas-liquid annular flow. Int J Heat Fluid Flow 32: 730–739
Schubring D, Ashwood AC, Shedd TA, Hurlburt ET (2010a) Planar laser-induced fluorescence (PLIF) measurements of liquid film thickness in annular flow. Part I: Methods and data. Int J Multiph Flow 36:815–824
Schubring D, Shedd TA, Hurlburt ET (2010b) Studying disturbance waves in vertical annular flow with high-speed video. Int J Multiph Flow 36: 385–396
Wallis GB (1969) One-dimensional Two-phase Flow. McGraw-Hill Inc., New York
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Kokomoor, W., Schubring, D. Improved visualization algorithms for vertical annular flow. J Vis 17, 77–86 (2014). https://doi.org/10.1007/s12650-013-0191-0
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DOI: https://doi.org/10.1007/s12650-013-0191-0