Abstract
A recent technique of simultaneous particle image velocimetry (PIV) and pulsed shadow technique (PST) measurements, using only one black and white CCD camera, is successfully applied to the study of slug flow. The experimental facility and the operating principle are described. The technique is applied to study the liquid flow pattern around individual Taylor bubbles rising in an aqueous solution of glycerol with a dynamic viscosity of 113×10−3 Pa s. With this technique the optical perturbations found in PIV measurements at the bubble interface are completely solved in the nose and in annular liquid film regions as well as in the rear of the bubble for cases in which the bottom is flat. However, for Taylor bubbles with concave oblate bottoms, some optical distortions appear and are discussed. The measurements achieved a spatial resolution of 0.0022 tube diameters. The results reported show high precision and are in agreement with theoretical and experimental published data.
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Abbreviations
- D :
-
internal column diameter (m)
- g :
-
acceleration due to gravity (m s−2)
- l w :
-
wake length (m)
- Q v :
-
liquid volumetric flow rate (m3 s−1)
- r :
-
radial position (m)
- r *:
-
radial position of the wake boundary (m)
- R :
-
internal column radius (m)
- U s :
-
Taylor bubble velocity (m s−1)
- u z :
-
axial component of the velocity (m s−1)
- u r :
-
radial component of the velocity (m s−1)
- z :
-
distance from the Taylor bubble nose (m)
- Z *:
-
distance from the Taylor bubble nose for which the annular liquid film stabilizes (m)
- Re :
-
Reynolds number (\( = \frac{{\rho U_{s} D}} {\mu } \))
- N f :
-
inverse viscosity number (\( = \frac{{g^{{1/2}} D^{{3/2}} \rho }} {\mu } \))
- δ :
-
liquid film thickness (m)
- ν :
-
liquid kinematic viscosity (m2 s−1)
- μ :
-
liquid dynamic viscosity (Pa s)
- ρ :
-
liquid density (kg m−3)
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Acknowledgements
The partial support of the Fundação para a Ciência e Tecnologia—Portugal through project POCTI/EQU/33761/1999 and scholarship BD/20301/99 is gratefully acknowledged. POCTI (FEDER) also supported this work via CEFT.
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Nogueira, S., Sousa, R.G., Pinto, A.M.F.R. et al. Simultaneous PIV and pulsed shadow technique in slug flow: a solution for optical problems. Exp Fluids 35, 598–609 (2003). https://doi.org/10.1007/s00348-003-0708-8
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DOI: https://doi.org/10.1007/s00348-003-0708-8