Hostname: page-component-cd9895bd7-p9bg8 Total loading time: 0 Render date: 2024-12-18T19:12:37.640Z Has data issue: false hasContentIssue false

Instantaneous three-dimensional concentration measurements in the self-similar region of a round high-Schmidt-number jet

Published online by Cambridge University Press:  26 April 2006

M. Yoda
Affiliation:
Department of Aeronautics and Astronautics, Stanford University, Stanford, CA 94305, USA Present address: Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA, USA.
L. Hesselink
Affiliation:
Departments of Aero. and Astro. and Electrical Engineering, Stanford University, Stanford, CA 94305, USA
M. G. Mungal
Affiliation:
Mechanical Engineering Department, Stanford University, Stanford, CA 94305, USA

Abstract

The virtually instantaneous three-dimensional concentration fields in the self-similar region of natural or unexcited, circularly excited and weakly buoyant round jets of Reynolds number based on nozzle diameter of 1000 to 4000 are measured experimentally at a spatial resolution of the order of the Kolmogorov length scale. Isoconcentration surfaces are extracted from the concentration field. These surfaces along with their geometrical parameters are used to deduce the structure and modal composition of the jet. The concentration gradient field is calculated, and its local topology is classified using critical-point concepts.

Large-scale structure is evident in the form of ‘clumps’ of higher-concentration jet fluid. The structure, which has a downstream extent of about the local jet diameter, is roughly axisymmetric with a conical downstream end. This structure appears to be present only in fully turbulent jets. The antisymmetric two-dimensional images previously thought to be axial slices of an expanding spiral turn out in our data to instead be slices of a simple sinusoid in three dimensions. This result suggests that the helical mode, when present, is in the form of a pair of counter-rotating spirals, or that the +1 and −1 modes are simultaneously present in the flow, with their relative phase set by initial conditions.

In terms of local structure, regions with a large magnitude in concentration gradient are shown to have a local topology which is roughly axisymmetric and compressed along the axis of symmetry. Such regions, which would be locally planar and sheet-like, may correspond to the superposition of several of the layer-like structures which are the basic structure of the fine-scale passive scalar field (Buch & Dahm 1991; Ruetsch & Maxey 1991).

Type
Research Article
Copyright
© 1994 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Adrian, R. J. 1980 Multi-point optical measurements of simultaneous vectors in unsteady flow—a review. Intl J. Heat Fluid Flow 7, 127145.Google Scholar
Batchelor, G. K. & Gill, A. E. 1962 Analysis of the stability of axisymmetric jets. J. Fluid Mech. 14, 529551.Google Scholar
Becker, A. & Yamazaki, S. 1978 Entrainment, momentum flux and temperature in vertical free turbulent diffusion flames. Combust. Flame 33, 123149.Google Scholar
Bradshaw, P., Ferriss, D. H. & Johnson, R. F. 1964 Turbulence in the noise-producing region of a circular jet. J. Fluid Mech. 19, 591624.Google Scholar
Breidenthal, R. 1981 Structure in turbulent mixing layers and wakes using a chemical reaction. J. Fluid Mech. 109, 123.Google Scholar
Broadwell, J. E. 1989 A model for reactions in turbulent jets—effects of Reynolds, Schmidt and Dahmköhler numbers. In Turbulent Reactive Flows (ed. R. Borghi & S. N. B. Murthy), pp. 257277. Springer-Verlag.
Brown, G. L. & Roshko, A. 1974 On density effects and large structure in turbulent mixing layers. J. Fluid Mech. 64, 775816.Google Scholar
Buch, K. A. & Dahm, W. J. A. 1991 Fine scale structure of conserved scalar mixing in turbulent shear flows: Sc [Gt ] 1, Sc ≈ 1 and implications for reacting flows. Rep. 026779–5, The University of Michigan.
Cantwell, B. J. 1981 Organized motion in turbulent flow. Ann. Rev. Fluid Mech. 13, 457515.Google Scholar
Chen, C. J. & Rodi, W. 1980 Vertical Turbulent Buoyant Jets—A Review of Experimental Data. Pergamon Press.
Chong, M. S., Perry, A. E. & Cantwell, B. J. 1990 A general classification of three-dimensional flow fields. Phys. Fluids A 2, 765777.Google Scholar
Crow, S. C. & Champagne, F. H. 1971 Orderly structure in jet turbulence. J. Fluid Mech. 48, 547591.Google Scholar
Cruyningen, I. Van 1990 Quantitative imaging of turbulent gaseous jets using planar laser-induced fluorescence. HTGL Rep. T-267, Mechanical Engineering Department. Stanford University.
Dahm, W. J. A. & Dimotakis, P. E. 1987 Measurements of entrainment and mixing in turbulent jets. AIAA J. 25, 12161223.Google Scholar
Dahm, W. J. A. & Dimotakis, P. E. 1990 Mixing at large Schmidt number in the self-similar far field of turbulent jets. J. Fluid Mech. 217, 299330.Google Scholar
Dahm, W. J. A., Dimotakis, P. E. & Broadwell, J. E. 1984 Non-premixed turbulent jet flames. AIAA Paper 84–0369.
Dahm, W. J. A., Southerland, K. B. & Buch, K. A. 1991 Direct, high-resolution, four-dimensional measurements of the fine scale structure of Sc [Gt ] 1 molecular mixine in turbulent flows. Phys. Fluids A 3, 11151127.Google Scholar
Dimotakis, P. E., Miake-Lye, R. C. & Papantoniou, D. A. 1983 Structure and dynamics of round turbulent jets. Phys. Fluids 26, 31853192.Google Scholar
Dowling, D. R. 1988 Mixing in gas phase turbulent jets. PhD thesis, California Institute of Technology.
Dowling, D. R. & Dimotakis, P. E. 1990 Similarity of the concentration field of gas-phase turbulent jets. J. Fluid Mech. 218, 109141.Google Scholar
Eastman Kodak Company 1991 Kodak Ektar 25 professional film. Publication no. E-135.
Fiedler, H. E. 1974 Transport of heat across a plane turbulent mixing layer. Adv. Geophys. 18A, 93109.Google Scholar
Fiedler, H. E. 1988 Coherent structures in turbulent flows. Prog. Aerospace Sci. 25, 231270.Google Scholar
Goodman, J. W. 1968 Introduction to Fourier Optics. McGraw-Hill.
Hussain, A. K. M. F. & Zaman, K. B. M. Q. 1981 The ‘preferred mode’ of the axisymmetric jet. J. Fluid Mech. 110, 3971.Google Scholar
Kida, S., Takaoka, M. & Hussain, F. 1991 Collision of two vortex rings. J. Fluid Mech. 230, 583646.Google Scholar
Komori, S. & Ueda, H. 1985 The large-scale coherent structure in the intermittent region of the self-preserving round free jet. J. Fluid Mech. 152, 337359.Google Scholar
Koochesfahani, M. M. & Dimotakis, P. E. 1986 Mixing and chemical reactions in a turbulent liquid mixing layer. J. Fluid Mech. 170, 83112.Google Scholar
Lee, M. & Reynolds, W. C. 1985 Bifurcating and blooming jets. HTTM Rep. TF-22, Mechanical Engineering Department, Stanford University.
Lorensen, W. E. & Cline, H. E. 1987 Marching cubes: A high resolution 3D surface construction algorithm. Comput. Graphics 21, 163169.Google Scholar
Martin, J. E. 1991 Numerical investigation of three-dimensionally evolving jets. 1 thesis, Brown University.
Mattingly, G. E. & Chang, C. C. 1974 Unstable waves on an axisymmetric jet column. J. Fluid Mech. 65, 541560.Google Scholar
Mendenhall, W., Scheaffer, R. L. & Wackerly, D. D. 1986 Mathematical Statistics with Applications. Duxbury Press.
Michalke, A. 1971 Instabilität eines runden Freistrahls unter Berücksichtigung des Einflusses der Strahlgrenzschichtdicke. Z. Flugwiss. 19 319–328 [English translation: Instability of compressible circular free jet with consideration of the influence of the jet boundary layer thickness. NASA Tech. Memo No. 75190, 1977].Google Scholar
Mungal, M. G., Lozano, A. & Cruyningen, I. Van 1992 Large-scale dynamics in high Reynolds number jets and jet flames. Exp. Fluids 12, 141150.Google Scholar
Mungal M. G. & O'Neil, J. M. 1989 Visual observations of a turbulent diffusion flame. Combust. Flame 78, 377389.Google Scholar
Ning, P. C. & Hesselink, L. 1991 Adaptive isosurface generation in a distortion-rate framework. In Extracting Meaning from Complex Data: Processing, Display, Interaction II, SPIE Proc. 1459, 1121.Google Scholar
Papanicolau, P. N. & List, E. J. 1988 Investigations of round vertical turbulent buoyant jets. J. Fluid Mech. 195, 341391.Google Scholar
Papantoniou, D. & List E. J. 1989 Large-scale structure in the far field of buoyant jets. J. Fluid Mech. 209, 151190.Google Scholar
Parekh D., Leonard, A. & Reynolds, W. C. 1988 Bifurcating jets at high Reynolds numbers. HTTM Rep. TF-35. Department of Mechanical Engineering, Stanford University.
Petersen, R. A., Samet, M. M. & Long, T. A. 1988 Excitation of azimuthal modes in an axisymmetric jet. In Turbulence Management and Relaminarisation (ed. H. W. Liepmann and H. W. Liepmann). pp. 435443. Springer-Verlag.
Prasad, R. R. & Sreenivasan, K. R. 1990 Quantitative three-dimensional imaging and the structure of passive scalar fields in fully turbulent flows. J. Fluid Mech. 216, 134.Google Scholar
Ruetsch, G. R. & Maxey, M. R. 1991 Small-scale features of vorticity and passive scalar fields in homogeneous isotropic turbulence. Phys. Fluids A 3, 15871597.Google Scholar
Schatzle, P. R. 1987 An experimental study of fusion of vortex rings. 1 thesis, California Institute of Technology.
Shlien, D. J. 1987 Observations of dispersion of entrained fluid in the self-preserving region of a turbulent jet. J. Fluid Mech. 183, 163173.Google Scholar
Sondergaard, R., Chen, J., Soria, J. & Cantwell, B. 1991 Local topology of small scale motions in turbulent shear flows. In Proc. Eighth Symposium on Turbulent Shear Flows, Munich, Germany.
Soria, J., Chong, M. S., Sondergaard, R., Perry, A. E. & Cantwell, B. J. 1994 A study of the fine scale motions of incompressible time-developing mixing layers. Phys. Fluids 6, 871884.Google Scholar
Strange, P. J. R. & Crighton, D. G. 1983 Spinning modes on axisymmetric jets. Part 1. J. Fluid Mech. 134, 231245.Google Scholar
Tso, J. & Hussain, F. 1989 Organized motions in a fully developed turbulent axisymmetric jet. J. Fluid Mech. 203, 425448.Google Scholar
Turner, J. S. 1966 Jets and plumes with negative or reversing buoyancy. J. Fluid Mech. 26, 779792.Google Scholar
Yoda, M. 1992 The instantaneous concentration field in the self-similar region of a high Schmidt number jet. 1 thesis, Stanford University.
Yoda, M., Hesselink, L. & Mungal, M. G. 1992 The evolution and nature of large-scale structures in the turbulent jet. Phys. FluidsA 4 803811.Google Scholar