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Improved visualization algorithms for vertical annular flow

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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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Abbreviations

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)

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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

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