Abstract
A simple phase separation method using vector post-processing techniques is evaluated to measure velocity fields in a bubble plume. To provide for validation, fluorescent seeding is used, and two sets of synoptic images are obtained: mixed-phase images containing bubbles and fluorescent particles, and fluid-phase images containing only fluorescent particles. A third dataset is derived by applying a digital mask to remove bubbles from the mixed-phase images. All datasets are processed using cross-correlation particle image velocimetry (PIV). The resulting vector maps for the raw, mixed-phase data contain both bubble and continuous-phase velocity vectors. To separate the phases, a vector post-processing algorithm applies a maximum velocity threshold for the continuous-phase velocities coupled with the vector median filter to identify remaining bubble-velocity vectors and remove them from the mixed-phase velocity field. To validate the phase separation algorithm, the post-processed fluid-phase vectors are compared to PIV results obtained from both the optically separated and digitally masked data. The comparison among these methods shows that the post-processed mixed-phase data have small errors in regions near some bubbles, but for dilute environmental flows (low void fraction and slip velocity approximately equal to the entrained fluid velocity), the algorithm predicts well both instantaneous and time average statistical quantities. The method is reliable for flows having 10% or less of the field of view occupied by bubbles. The resulting instantaneous data provide information on plume wandering and eddy-size distributions within the bubble plume. By comparison among the datasets, it is shown that the patchiness of the vector-post processed and image masked data limit the diameter of identifiable eddy structures to the average distance between bubbles in the image, and that both datasets give identical probability density functions of eddy size. The optically filtered data have better data coverage and predict a greater probability of larger eddies as compared to the other two datasets.
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References
Adrian RJ, Christensen KT, Liu ZC (2000) Analysis and interpretation of instantaneous turbulent velocity fields. Exp Fluids 29:275–290
Bech K (2005) Dynamic simulation of a 2D bubble column. Chem Eng Sci 60(19):5294–5304
Bröder D, Sommerfeld M (2002) An advanced LIF-PLV system for analysing the hydrodynamics in a laboratory bubble column at higher void fractions. Exp Fluids 33(6):826–837
Brücker C (2000) PIV in two-phase flows. von Karman Institute for fluid dynamics, lecture series 2000–01
Cederwall K, Ditmars JD (1970) Analysis of air-bubble plumes. KH-R-24, W. M. Keck laboratory of hydraulics and water resources, Division of engineering and applied science, California Institute of Technology, Pasadena
Clift R, Grace JR, Weber ME (1978) Bubbles, drops and particles. Dover Publications, Inc., Mineola
Deen NG (2001) An experimental and computational study of fluid dynamics in gas–liquid chemical reactors, Ph.D. thesis. Aalborg University, Esbjerg
Deen NG, Westerweel J, Delnoij E (2002) Two-phase PIV in bubbly flows: status and trends. Chem Eng Technol 25(1):97–101
Delnoij E, Westerweel J, Deen NG, Kuipers JAM, van Swaaij WPM (1999) Ensemble correlation PIV applied to bubble plumes rising in a bubble column. Chem Eng Sci 54(21):5159–5171
Díaz ME, Montes FJ, Galán MA (2006) Influence of aspect ratio and superficial gas velocity on the evolution of unsteady flow structures and flow transitions in a rectangular two-dimensional bubble column. Ind Eng Chem Res 45(21):7301–7312
Gui LC, Merzkirch W (1996) A method of tracking ensembles of particle images. Exp Fluids 21(6):465–468
Gui LC, Lindken R, Merzkirch W (1997) Phase-separated PIV measurements of the flow around systems of bubbles rising in water. ASME-FEDSM97-3103, ASME, New York
Hilgers S, Merzkirch W, Wagner T (1995) PIV measurements in multiphase flow using CCD and photo-camera flow systems. In: ASME fluids engineering division (FED)-209 flow visualisation and image processing in multiphase flows. ASME, New York, pp 151–154
Hu H, Saga T, Kobayashi T, Okamoto K, Taniguchi N (1998) Evaluation of the cross correlation method by using PIV standard images. J Vis 1(1):87–94
Jakobsen ML, Easson WJ, Greated CA, Glass DH (1996) Particle image velocimetry: simultaneous two-phase flow measurements. Meas Sci Technol 7(9):1270–1280
Khalitov DA, Longmire EK (2002) Simultaneous two-phase PIV by two-parameter phase discrimination. Exp Fluids 32(2):252–268
Kiger KT, Pan C (2000) PIV technique for the simultaneous measurement of dilute two-phase flows. J Fluids Eng-Transac ASME 122(4):811–818
Kobus HE (1968) Analysis of the flow induced by air-bubble systems. In: 11th international conference on coastal engineering, London. ASCE, Reston, pp 1016–1031
LaVision (2002) DaVis FlowMaster Software Manual for DaVis 6.2. LaVision, GmbH, Germany
Leitch AM, Baines WD (1989) Liquid volume flux in a weak bubble plume. J Fluid Mech 205:77–98
Lemckert CJ, Imberger J (1993) Energetic bubble plumes in arbitrary stratification. J Hydraulic Eng ASCE 119(6):680–703
Lindken R, Merzkirch W (2002) A novel PIV technique for measurements in multiphase flows and its application to two-phase bubbly flows. Exp Fluids 33(6):814–825
Liu ZC, Adrian RJ (1992) Simultaneous imaging of the velocity fields of two phases. In: Rocco M (ed) II. Particulate two-phase flows. Butterworth-Heinemann, Stoneham, pp 33–58
McGinnis DF, Lorke A, Wüest A, Stöckli A, Little JC (2004) Interaction between a bubble plume and the near field in a stratified lake. Water Res Res 40(10):W10206
Milgram JH (1983) Mean flow in round bubble plumes. J Fluid Mech 133(8):345–376
Oakley TR, Loth E, Adrian RJ (1996) Cinematic particle image velocimetry of high-Reynolds-number turbulent free shear layer. AIAA J 34(2):299–308
Raffel M, Willert C, Kompenhans J (1998) Particle image velocimetry: a practical guide. Springer, Berlin
Rottenkolber G, Gindele J, Raposo J, Dullenkopf K, Hentschel W, Wittig S, Spicher U, Merzkirch W (2002) Spray analysis of a gasoline direct injector by means of two-phase PIV. Exp Fluids 32(6):710–721
Sakakibara J, Wicker RB, Eaton JK (1996) Measurements of the particle-fluid velocity correlation and the extra dissipation in a round jet. Int J Multiphase Flow 22(5):863–881
Seol D-G, Bhaumik T, Bergmann C, Socolofsky SA (2007) Particle image velocimetry measurements of the mean flow characteristics in a bubble plume. J Eng Mech ASCE (in press)
Simiano M, Zboray R, de Cachard F, Lakehal D, Yadigaroglu G (2006) Comprehensive experimental investigation of the hydrodynamics of large-scale, 3D, oscillating bubble plumes. Int J Multiphase Flow 32(10–11):1160–1181
Socolofsky SA, Adams EE (2002) Multi-phase plumes in uniform and stratified crossflow. J Hydraulic Res 40(6):661–672
Socolofsky SA, Adams EE (2003) Liquid volume fluxes in stratified multiphase plumes. J Hydraulic Eng ASCE 129(11):905–914
Socolofsky SA, Adams EE (2005) Role of slip velocity in the behavior of stratified multiphase plumes. J Hydraulic Eng ASCE 131(4):273–282
Song X, Shen L, Murai Y, Yamamoto F (1999) Separation of particle-bubble images in multiphase flow. In: 3rd international workshop on PIV, Santa Barbara, pp 15–20
Sridhar G, Katz JJ (1991) Implementation of particle image velocimetry to multiphase flow. In: Cavitation and multi-phase flow forum. ASME, New York, pp 205–210
Tokuhiro A, Maekawa M, Iizuka K, Hishida K, Maeda M (1998) Turbulent flow past a bubble and an ellipsoid using shadow-image and PIV techniques. Int J Multiphase Flow 24(8):1383–1406
Wilkinson DL (1979) Two-dimensional bubble plumes. J Hydraulics Div ASCE 105(HY2):139–154
Willert C (1997) Stereoscopic digital particle image velocimetry for application in wind tunnel flows. Meas Sci Technol 8(12):1465–1479
Zhou LX, Li RX, Du RX (2006) Numerical simulation of the effect of void fraction and inlet velocity on two-phase turbulence in bubble-liquid flows. Acta Mech Sin 22(5):425–432
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This paper is based upon work supported by the National Science Foundation under Grant No. CTS-0348572. This support is gratefully acknowledged.
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Seol, DG., Socolofsky, S.A. Vector post-processing algorithm for phase discrimination of two-phase PIV. Exp Fluids 45, 223–239 (2008). https://doi.org/10.1007/s00348-008-0473-9
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DOI: https://doi.org/10.1007/s00348-008-0473-9