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A turbulent jet in crossflow analysed with proper orthogonal decomposition

Published online by Cambridge University Press:  04 July 2007

KNUD ERIK MEYER ,
JAKOB M. PEDERSEN  and
OKTAY ÖZCAN
KNUD ERIK MEYER
Affiliation:
Department of Mechanical Engineering, Technical University of Denmark, DK-2800 Kgs. Lyngby, Denmark
JAKOB M. PEDERSEN
Affiliation:
Department of Mechanical Engineering, Technical University of Denmark, DK-2800 Kgs. Lyngby, Denmark
OKTAY ÖZCAN
Affiliation:
Department of Mechanical Engineering, Yildiz Technical University, 34349, Istanbul, Turkey
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Abstract

Detailed instantaneous velocity fields of a jet in crossflow have been measured with stereoscopic particle image velocimetry (PIV). The jet originated from a fully developed turbulent pipe flow and entered a crossflow with a turbulent boundary layer. The Reynolds number based on crossflow velocity and pipe diameter was 2400 and the jet to crossflow velocity ratios were R=3.3 and R=1.3. The experimental data have been analysed by proper orthogonal decomposition (POD). For R=3.3, the results in several different planes indicate that the wake vortices are the dominant dynamic flow structures and that they interact strongly with the jet core. The analysis identifies jet shear-layer vortices and finds that these vortical structures are more local and thus less dominant. For R=1.3, on the other hand, jet shear-layer vortices are the most dominant, while the wake vortices are much less important. For both cases, the analysis finds that the shear-layer vortices are not coupled to the dynamics of the wake vortices. Finally, the hanging vortices are identified and their contribution to the counter-rotating vortex pair (CVP) and interaction with the newly created wake vortices are described.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 583 , 25 July 2007 , pp. 199 - 227
Copyright
Copyright © Cambridge University Press 2007

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References

REFERENCES

Adrian, R. J., Christensen, K. T. & Liu, Z.-C. 2000 Analysis and interpretation of instantaneous turbulent fields. Exps. Fluids 29, 275–290.CrossRefGoogle Scholar
Bernero, S. & Fieldler, H. E. 2000 Application of particle image velocimetry and proper orthogonal decomposition to the study of a jet in counterflow. Exps. Fluids 29, S274–S281.CrossRefGoogle Scholar
Blanchard, J. N., Brunet, Y. & Merlen, A. 1999 Influence of a counter rotating vortex pair on the stability of a jet in a cross flow: an experimental study by flow visualizations. Exps. Fluids 26, 63–74.CrossRefGoogle Scholar
Broadwell, J. & Breidenthal, R. 1984 Structure and mixing of a transverse jet in incompressible flow. J. Fluid Mech. 148, 405–412.CrossRefGoogle Scholar
Camussi, R., Guj, G. & Stella, A. 2002 Experimental study of a jet in a crossflow at very low reynolds number. J. Fluid Mech. 454, 113–144.CrossRefGoogle Scholar
Coelho, S. & Hunt, J. 1989 The dynamics of the near field of strong jets in crossflows. J. Fluid Mech. 200, 95–120.CrossRefGoogle Scholar
Cortelezzi, L. & Karagozian, A. R. 2001 On the formation of the counter-rotating vortex pair in transverse jets. J. Fluid Mech. 446, 347–374.CrossRefGoogle Scholar
Fearn, R. & Weston, R. P. 1974 Vorticity associated with a jet in a cross flow. AIAA J. 12 (12), 1666–1671.CrossRefGoogle Scholar
Fric, T. F. & Roshko, A. 1994 Vortical structure in the wake of a transverse jet. J. Fluid Mech. 279, 1–47.CrossRefGoogle Scholar
Fukunaga, K. 1990 Introduction To Statistical Pattern Recognition, 2nd edn. Academic Press.Google Scholar
Gopalan, S., Abraham, B. M. & Katz, J. 2004 The structure of a jet in cross flow at low velocity ratios. Phys. Fluids 16 (6), 2067–2087.CrossRefGoogle Scholar
Graftieaux, L., Michard, M. & Grosjean, N. 2001 Combining PIV, POD and vortex identification algorithms for the study of unsteady turbulent swirling flows. Meas. Sci. Technol. 12, 1422–1429.CrossRefGoogle Scholar
Gustaffson, K. & Johansson, T. 2003 Turbulence and velocity fields of slanted jets in crossflow– measurements and CFD simulations. In Turbulence, Heat and Mass Transfer 4 (ed. K. Hanjalic, Y. Nagano & M. Tummers). Antalya, Turkey.Google Scholar
Hasselbrink, E. F. & Mungal, M. G. 2001 Transverse jets and jet flames. Part 2. Velocity and OH field imaging. J. Fluid Mech. 443, 27–68.CrossRefGoogle Scholar
Haven, B. & Kurosaka, M. 1997 Kidney and anti-kidney vortices in crossflow jets. J. Fluid Mech. 352, 27–64.CrossRefGoogle Scholar
Holmes, P., Lumley, J. L. & Berkooz, G. 1998 Turbulence, Coherent Structures, Dynamical Systems and Symmetry. Cambridge University Press.Google Scholar
Hunt, J., Wray, A. & Moin, P. 1988 Eddies, stream and convergence zones in turbulent flows. Tech. Rep. Center for Turbulence Research, NASA–Ames Research Center and Stanford University, California, USA.Google Scholar
Kelso, R. M., Lim, T. T. & Perry, A. E. 1996 An experimental study of round jets in cross flow. J. Fluid Mech. 306, 111–144.CrossRefGoogle Scholar
Krothapalli, A., Lourenco, L. & Buchlin, J. 1990 Separated flow upstream of a jet in crossflow. AIAA J. 28, 414–420.CrossRefGoogle Scholar
Lim, T. T., New, T. H. & Luo, S. C. 2001 On the development of large-scale structures of a jet normal to a cross flow. Phys. Fluids 13 (3), 770–775.CrossRefGoogle Scholar
Lumley, J. L. 1967 The structure of inhomogeneous turbulent flow. In Atmospheric Turbulence and Radio Wave Propagation (ed. Yaglom, A. M. & Tatarski, V. I.), pp. 166–178, Nauka, Moscow.Google Scholar
Margason, R. J. 1993 Fifty years of jet in crossflow research. In Computational and Experimental Assessment of Jets in Cross Flow. AGARD-CP-534, Winchester, UK.Google Scholar
Marzouk, Y. M. & Ghoniem, A. F. 2007 Vorticity structure and evolution in a transverse jet. J. Fluid Mech. 575, 267–305.CrossRefGoogle Scholar
Meyer, K. E., Özcan, O., Larsen, P. S., Gjelstrup, P. & Westergaard, C. H. 2002a Point and planer lif for velocity-concentration correlations in a jet in crossflow. In Laser Techniques for Fluid Mechanics (ed. Adrian, R. J. et al. ). Springer.Google Scholar
Meyer, K. E., Özcan, O. & Westergaard, C. H. 2002b Flow mapping of a jet in crossflow with stereoscopic PIV. J. Visualization 5 (3), 225–231.CrossRefGoogle Scholar
Moussa, Z., Trischka, J. & Eskinazi, S. 1977 The near field in the mixing of a round jet with a cross-stream. J. Fluid Mech. 80, 49–80.CrossRefGoogle Scholar
Muppidi, S. & Mahesh, K. 2005 Study of trajectories in crossflow using direct numerical simulations. J. Fluid Mech. 530, 81–100.CrossRefGoogle Scholar
Muppidi, S. & Mahesh, K. 2006 Two-dimensional model problem to explain counter-rotating vortex pair formation in a transverse jet. Phys. Fluids 18 (8), 085103.CrossRefGoogle Scholar
New, T. H., Lim, T. T. & Luo, S. C. 2004 A flow field study of an elliptic jet in cross flow using DPIV technique. Exps. Fluids 36 (4), 604–618.CrossRefGoogle Scholar
Özcan, O. & Larsen, P. S. 2001 An experimental study of a turbulent jet in cross-flow by using LDA. Tech. Rep. MEK-FM 2001–02. Department of Mechanical Engineering, Technical University of Denmark.Google Scholar
Özcan, O. & Larsen, P. S. 2003 Laser doppler anemometry study of a turbulent jet in crossflow. AIAA J. 41 (8), 1614–1615.CrossRefGoogle Scholar
Özcan, O., Meyer, K. E. & Larsen, P. S. 2005 Measurement of mean rotation and strain-rate tensors by using stereoscopic PIV. Exps. Fluids 39 (4), 771–783.CrossRefGoogle Scholar
Pedersen, J. M. 2003 Analysis of planar measurements of turbulent flows. PhD thesis, Department of Mechanical Engineering, Technical University of Denmark.Google Scholar
Pedersen, J. M. & Meyer, K. E. 2002 POD-analysis of flow structures in a scale model of a ventilated room. Exps. Fluids 33 (6), 940–949.CrossRefGoogle Scholar
Peterson, S. D. & Plesniak, M. W. 2004 Evolution of jets imanating from short holes into crossflow. J. Fluid Mech. 503, 57–91.CrossRefGoogle Scholar
Rivero, A., Ferré, J. A. & Giralt, F. 2001 Organized motions in a jet in crossflow. J. Fluid Mech. 444, 117–149.CrossRefGoogle Scholar
Shapiro, S. R., King, J. M., M'Closkey, R. T. & Karagozian, A. R. 2006 Optimization of controlled jets in crossflow. AIAA J. 44, 1292–1298.CrossRefGoogle Scholar
Sirovich, L. 1987 Turbulence and the dynamics of coherent structures. Part I: Coherent structures. Q. Appl. Maths. 45 (3), 561–571.CrossRefGoogle Scholar
Smith, S. H. & Mungal, M. G. 1998 Mixing, structure and scaling of the jet in crossflow. J. Fluid Mech. 357, 83–122.CrossRefGoogle Scholar
Spalart, P. R. 1988 Direct simulation of a turbulent boundary layer up to Rθ = 1410. J. Fluid Mech. 187, 61–98.CrossRefGoogle Scholar
Su, L. K. & Mungal, M. G. 2004 Simultaneous measurements of scalar and velocity field evolution in turbulent crossflowing jets. J. Fluid Mech. 513, 1–45.CrossRefGoogle Scholar
Wee, D., Marzouk, Y. M. & Ghoniem, A. F. 2005 Lagrangian simulation of a jet-in-crossflow at a finite reynolds number. AIAA Paper 2005–0291.CrossRefGoogle Scholar
Yuan, L. L., Street, R. L. & Ferziger, J. H. 1999 Large-eddy simulations of a round jet in crossflow. J. Fluid Mech. 379, 71–104.CrossRefGoogle Scholar