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Quantitative planar imaging of turbulent buoyant jet mixing

Published online by Cambridge University Press:  09 December 2009

L. K. SU*
Affiliation:
Applied Fluid Imaging Laboratory, Department of Mechanical Engineering, Johns Hopkins University, Baltimore, MD 21218, USA
D. B. HELMER
Affiliation:
Applied Fluid Imaging Laboratory, Department of Mechanical Engineering, Johns Hopkins University, Baltimore, MD 21218, USA
C. J. BROWNELL
Affiliation:
Applied Fluid Imaging Laboratory, Department of Mechanical Engineering, Johns Hopkins University, Baltimore, MD 21218, USA
*
Email address for correspondence: [email protected]

Abstract

Planar Rayleigh scattering provides quantitative mixing measurements in the developing region of axisymmetric turbulent helium jets issuing into air. The measurements focus on the relatively near field, in which the jets are primarily momentum driven. The imaging parameters are specified to ensure high spatial resolution. The mean jet fluid concentration fields attain self-similarity within the measurement region, though the forms of the mole fraction profiles indicate a reduction in turbulent transport at the jet outer boundary, arising from the reduced jet fluid density. Nevertheless, jet-like scaling pertains for the concentration fields. Mass fraction fluctuations on the jet centreline attain the expected asymptotic value of ≈23% of the centreline mass fraction values. The scalar dissipation rates, however, show an axial decay rate that is slower than theoretical predictions. The two-dimensional extent of the measurements also allows spatial filtering similar to that inherent in large-eddy simulations (LESs). The results confirm that fluctuation levels and scalar dissipation rates determined for the filtered fields are reduced as the effective resolution is reduced, but while the fluctuation profiles for the filtered fields are similar for the different filter sizes, the forms of the scalar dissipation profiles are highly dependent on filter size. These latter results in particular are of a form that will be useful for grid-dependent assessments of LES results.

Type
Papers
Copyright
Copyright © Cambridge University Press 2009

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Footnotes

Present address: Mechanical Engineering Department, Stanford University, Stanford, CA 94305, USA

Present address: Department of Mechanical Engineering, United States Naval Academy, Annapolis, MD, 21402, USA

References

REFERENCES

Antonia, R. A., Satyaprakash, B. R. & Hussain, A. K. M. F. 1980 Measurements of dissipation rate and some other characteristics of plane and turbulent jets. Phys. Fluids 23, 695699.CrossRefGoogle Scholar
Bartels, J. et al. (Ed.) 1962 Landolt–Börnstein Numerical Data and Functional Relationships in Science and Technology, 6th edn. Springer.Google Scholar
Basu, A. J. & Mansour, N. N. 1999 Large eddy simulation of a forced round turbulent buoyant plume in neutral surroundings. In CTR Annual Research Briefs (ed. Moin, P. & Mansour, N. N.), pp. 239248. Center for Turbulence Research.Google Scholar
Becker, H. A., Hottel, H. C. & Williams, G. C. 1967 The nozzle fluid concentration field of the round turbulent free jet. J. Fluid Mech. 30, 285303.CrossRefGoogle Scholar
Bilger, R. W. 1976 a The structure of diffusion flames. Combust. Sci. Technol. 13, 155170.CrossRefGoogle Scholar
Bilger, R. W. 1976 b Turbulent jet diffusion flames. Prog. Energy Combust. Sci. 1, 87109.CrossRefGoogle Scholar
Bilger, R. W. 2004 Some aspects of scalar dissipation. Flow Turbul. Combust. 72, 93114.CrossRefGoogle Scholar
Birch, A. D., Brown, D. R., Dodson, M. G. & Thomas, J. R. 1978 The turbulent concentration field of a methane jet. J. Fluid Mech. 88, 431449.CrossRefGoogle Scholar
Boersma, B. J. 2004 Large eddy simulation of the sound field of a round turbulent jet. Theoret. Comput. Fluid Dyn. 19, 161170.CrossRefGoogle Scholar
Buch, K. A. & Dahm, W. J. A. 1996 Experimental study of the fine-scale structure of conserved scalar mixing in turbulent shear flows. Part 1. Sc ≫ 1. J. Fluid Mech. 317, 2171.CrossRefGoogle Scholar
Buch, K. A. & Dahm, W. J. A. 1998 Experimental study of the fine-scale structure of conserved scalar mixing in turbulent shear flows. Part 2. Sc ≈ 1. J. Fluid Mech. 364, 129.CrossRefGoogle Scholar
Chen, C. J. & Rodi, W. 1980 Vertical Turbulent Buoyant Jets: A Review of Experimental Data. Pergamon.Google Scholar
Dahm, W. J. A. & Dimotakis, P. E. 1987 Measurements of entrainment and mixing in turbulent jets. AIAA J. 25, 12161223.CrossRefGoogle Scholar
Dahm, W. J. A., Southerland, K. B. & Buch, K. A. 1990 Direct, high-resolution, four-dimensional measurements of the fine scale structure of Sc ≫ 1 molecular mixing in turbulent flows. Phys. Fluids A 3, 11151127.CrossRefGoogle Scholar
Dimotakis, P. E. 2000 The mixing transition in turbulent flows. J. Fluid Mech. 409, 6998.CrossRefGoogle Scholar
Dowling, D. R. & Dimotakis, P. E. 1990 Similarity of the concentration field of gas-phase turbulent jets. J. Fluid Mech. 218, 109141.CrossRefGoogle Scholar
Eckbreth, A. 1988 Laser Diagnostics for Combustion Temperature and Species. Abacus.Google Scholar
Effelsberg, E. & Peters, N. 1988 Scalar dissipation rates in turbulent jets and jet diffusion flames. Proc. Combust. Inst. 22, 693700.CrossRefGoogle Scholar
Escoda, M. C. & Long, M. B. 1983 Rayleigh scattering measurements of the gas concentration field in turbulent jets. AIAA J. 21, 8184.CrossRefGoogle Scholar
Feikema, D. A., Everest, D. & Driscoll, J. F. 1996 Images of dissipation layers to quantify mixing within a turbulent jet. AIAA J. 34, 25312538.CrossRefGoogle Scholar
Friehe, C. A., van Atta, C. W. & Gibson, C. H. 1971 Jet turbulence: dissipation rate measurements and correlations. In AGARD Turbulent Shear Flows, CP-93, pp. 18-1–18-7.Google Scholar
George, W. K. 1989 Self-preservation of turbulent flows and its relation to initial conditions and coherent structures. In Advances in Turbulence (ed. George, W. K. & Arndt, R.), pp. 141. Springer.Google Scholar
Ghandhi, J. B. 2006 Spatial resolution and noise considerations in determining scalar dissipation rate from passive scalar image data. Exp. Fluids 40, 577588.CrossRefGoogle Scholar
Leonard, B. 1979 Stable and accurate convective modelling procedure based on quadratic upstream interpolation. Comp. Meth. Appl. Mech. Engng 19, 5998.CrossRefGoogle Scholar
Lockwood, F. C. & Moneib, H. A. 1980 Fluctuating temperature measurements in a heated round free jet. Combust. Sci. Tech. 22, 6381.CrossRefGoogle Scholar
Mi, J., Nobes, D. S. & Nathan, G. J. 2001 Influence of jet exit conditions on the passive scalar field of an axisymmetric free jet. J. Fluid Mech. 432, 91125.CrossRefGoogle Scholar
Nickels, T. B. & Perry, A. E. 1996 An experimental and theoretical study of the turbulent coflowing jet. J. Fluid Mech. 309, 157182.CrossRefGoogle Scholar
Olsson, M. & Fuchs, L. 1996 Large eddy simulation of the proximal region of a spatially developing circular jet. Phys. Fluids 8, 21252137.CrossRefGoogle Scholar
Panchapakesan, N. R. & Lumley, J. L. 1993 Turbulence measurements in axisymmetric jets of air and helium. Part 2. Helium jet. J. Fluid Mech. 246, 225247.CrossRefGoogle Scholar
Peters, N. & Williams, F. A. 1983 Liftoff characteristics of turbulent jet diffusion flames. AIAA J. 21, 423429.CrossRefGoogle Scholar
Pitts, W. M. 1991 a Effects of global density ratio on the centreline mixing behaviour of axisymmetric turbulent jets. Exp. Fluids 11, 125134.CrossRefGoogle Scholar
Pitts, W. M. 1991 b Reynolds number effects on the mixing behaviour of axisymmetric turbulent jets. Exp. Fluids 11, 135141.CrossRefGoogle Scholar
Pitts, W. M., Richards, C. D. & Levenson, M. S. 1999 Large-and small-scale structures and their interactions in an axisymmetric jet. Tech Rep. NISTIR 6393. US National Institute of Standards and Technology.CrossRefGoogle Scholar
Rajagopalan, A. G. & Tong, C. 2003 Experimental investigation of scalar-scalar-dissipation filtered joint density function and its transport equation. Phys. Fluids 15, 227244.CrossRefGoogle Scholar
Richards, C. D. & Pitts, W. M. 1993 Global density effects on the self-preservation behaviour of turbulent free jets. J. Fluid Mech. 254, 417435.CrossRefGoogle Scholar
Ricou, F. P. & Spalding, D. B. 1961 Measurements of entrainment by axisymmetrical turbulent jets. J. Fluid Mech. 11, 2132.CrossRefGoogle Scholar
Su, L. K. & Clemens, N. T. 1999 Planar measurements of the full three-dimensional scalar dissipation rate in gas-phase turbulent flows. Exp. Fluids 27, 507521.CrossRefGoogle Scholar
Su, L. K. & Clemens, N. T. 2003 The structure of fine-scale scalar mixing in gas-phase planar turbulent jets. J. Fluid Mech. 488, 129.CrossRefGoogle Scholar
Su, L. K., Sun, O. S. & Mungal, M. G. 2006 Experimental investigation of stabilization mechanisms in turbulent, lifted jet diffusion flames. Combust. Flame 144, 494512.CrossRefGoogle Scholar
Suto, H., Matsubara, K., Kobayashi, M. & Kaneko, Y. 2004 Large-eddy simulation of flow and scalar transport in a round jet. Heat Transfer Asian Res. 33, 175188.CrossRefGoogle Scholar
Tong, C. 2001 Measurements of conserved scalar filtered density function in a turbulent jet. Phys. Fluids 13, 29232937.CrossRefGoogle Scholar
Townsend, A. A. 1976 The Structure of Turbulent Shear Flow, 2nd edn. Cambridge University Press.Google Scholar
Wang, D. & Tong, C. 2002 Conditionally filtered scalar dissipation, scalar diffusion, and velocity in a turbulent jet. Phys. Fluids 14, 21702185.CrossRefGoogle Scholar
Wang, D., Tong, C. & Pope, S. B. 2004 Experimental study of velocity filtered joint density function for large eddy simulation. Phys. Fluids 16, 35993613.CrossRefGoogle Scholar
Westerweel, J., Fukushima, C., Pederson, J. M. & Hunt, J. C. R. 2005 Mechanics of the turbulent–nonturbulent interface of a jet. Phys. Rev. Lett. 95, 174501.CrossRefGoogle ScholarPubMed
Yip, B., Lam, J. K., Winter, M. & Long, M. B. 1987 Time resolved three-dimensional concentration measurements in a gas jet. Science 235, 12091211.CrossRefGoogle Scholar
Yip, B. & Long, M. B. 1986 Instantaneous planar measurement of the complete three-dimensional scalar gradient in a turbulent jet. Opt. Lett. 11, 6466.CrossRefGoogle Scholar
Yip, B., Schmitt, R. L. & Long, M. B. 1988 Instantaneous three-dimensional concentration measurements in turbulent jets and flames. Opt. Lett. 13, 9698.CrossRefGoogle ScholarPubMed
Zalesak, S. 1979 Fully multidimensional flux-corrected transport algorithms for fluids. J. Comput. Phys. 31, 335362.CrossRefGoogle Scholar