Research Papers: Fundamental Issues and Canonical Flows

Coherent Streamwise Vortex Structures in the Near-Field of the Three-Dimensional Wall Jet

[+] Author and Article Information
Lhendup Namgyal

e-mail: namgyaling@gmail.com

Joseph W. Hall

e-mail: jwhall@unb.ca
Department of Mechanical Engineering,
University of New Brunswick,
Fredericton, NB, E3B 5A3, Canada

The term near-wall vorticity refers to the regions of streamwise vorticity that are close to the wall, but should not be considered to truly be in the “near-wall region,” as the measurements are not adequate to resolve this area.

1Corresponding author.

Manuscript received May 24, 2012; final manuscript received February 22, 2013; published online April 12, 2013. Assoc. Editor: Mark F. Tachie.

J. Fluids Eng 135(6), 061204 (Apr 12, 2013) (7 pages) Paper No: FE-12-1260; doi: 10.1115/1.4023855 History: Received May 24, 2012; Revised February 22, 2013

A turbulent three-dimensional wall jet with an exit Reynolds number of 250,000 was investigated using stereoscopic particle image velocimetry (PIV) in the near-field region (x/D = 5). The proper orthogonal decomposition (POD) was applied to all three components of the velocity field to investigate the underlying coherent structures in the flow. A low-dimensional reconstruction of the turbulent velocity field using the first five POD modes showed the presence of coherent streamwise vortex structures formed in the outer shear-layers of the wall jet, not unlike those found in the near-field of free jets. The instantaneous streamwise vorticity reconstructed from the low-dimensional reconstructed velocity field indicates the presence of a persistent vortex pair close to the wall and on either side of the jet centerline that appear similar to the mean streamwise vorticity. These regions do not appear to be directly related to the positioning of the streamwise vortex structures in the outer shear-layer.

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Launder, B. E., and Rodi, W., 1983, “The Turbulent Wall Jet-Measurements and Modelling,” Annu. Rev. Fluid Mech., 15, pp. 429–459. [CrossRef]
Craft, T. J., and Launder, B. E., 2001, “On the Spreading Mechanism of the Three-Dimensional Turbulent Wall Jet,” J. Fluid Mech., 435, pp. 305–326. [CrossRef]
Sun, H., 2002, “The Effect of Initial Conditions on the Development of the Three-Dimensional Wall Jet,” Ph.D. thesis, McMaster University, Hamilton, ON, Canada.
Hall, J. W., and Ewing, D., 2007, “The Development of Three-Dimensional Turbulent Wall Jets Issuing From Moderate Aspect Ratio Rectangular Channels,” AIAA J., 45(6), pp. 1177–1186. [CrossRef]
Namgyal, L., and Hall, J. W., 2010, “PIV Measurements of the Turbulent Secondary Flow in a Three-Dimensional Wall Jet,” Proceedings of the ASME 2010 3rd Joint US-Engineering Summer Meeting & 8th International Conference on Nanochannels, Microchannels & Minichannels, Paper No. FEDSM-ICNMM2010-30278. [CrossRef]
Matsuda, H., Iida, S., and Hayakawa, M., 1990, “Coherent Structures in Three-Dimensional Wall Jet,” ASME J. Fluids Eng., 112(4), pp. 462–467. [CrossRef]
Ewing, D., and Pollard, A., 1997, “Evolution of the Large-Scale Motions in a Three-Dimensional Wall Jet,” Proceedings of the 28th AIAA Fluid Dynamics Conference/4th AIAA Shear Flow Control Conference, Paper No. 97-1964.
Sun, H., and Ewing, D., 2002, “Development of the Large-Scale Structures in the Intermediate Region of the Three-Dimensional Wall Jet,” Proceedings of the Fluids Engineering Division Summer Meeting, Montreal, QC, Canada, ASME, Paper No. FEDSM2002-31414. [CrossRef]
Hall, J. W., and Ewing, D., 2007, “The Asymmetry of the Large-Scale Structures in Turbulent Three-Dimensional Wall Jets Exiting Long Rectangular Channels,” ASME J. Fluids Eng., 129(7), pp. 929–941. [CrossRef]
Hall, J. W., and Ewing, D., 2010, “Spectral Linear Stochastic Estimation of the Turbulent Velocity in a Square Three-Dimensional Wall Jet,” ASME J. Fluids Eng., 132(5), p. 051203. [CrossRef]
LaVision, 2007, Product Manual—Flow Master, LaVision GmbH, Goettingen, Germany.
Whittaker, E. T., 1915, “On the Functions Which are Represented by the Expansion of the Interpolation-Theory,” Proc. R. Soc. Edinburgh, 35, pp. 181–194.
Namgyal, L., 2012, “Three-Component Particle Image Velocimetry Measurements in a Turbulent Three-Dimensional Wall Jet,” Ph.D. thesis, University of New Brunswick, Fredericton, NB, Canada.
Lumley, J. L., 1967, “The Structure of Inhomogeneous Turbulent Flow,” Atmospheric Turbulence and Radio Wave Propagation, A. M. Yaglom, and V. I. Tatarsky, eds., Nauka, Moscow, pp. 166–178.
Glauser, M. N., 1987, “Coherent Structures in the Axisymmetric Turbulent Jet Mixing Layer,” Ph.D. thesis, State University of New York at Buffalo, Buffalo, New York.
Ukeiley, L. S., Cordier, L., Delville, J., Glauser, M., and Bonnet, J. P., 1999, “Examination of Large-Scale Structures in Turbulent Plane Mixing Layer. Part 1. Proper Orthogonal Decomposition,” J. Fluid Mech., 391, pp. 91–122. [CrossRef]
Citriniti, J. H., and George, W. K., 2000, “Reconstruction of the Global Velocity Field in the Axisymmetric Mixing Layer Utilizing the Proper Orthogonal Decomposition,” J. Fluid Mech., 418, pp. 137–166. [CrossRef]
Pinier, J., 2007, “Low-Dimensional Techniques for Active Control of High-Speed Jet Aeroacoustics,” Ph.D. thesis, Syracuse University, Syracuse, New York.
Tinney, C. E., Glauser, M. N., and Ukeiley, L. S., 2008, “Low-Dimensional Characteristics of a Transonic Jet. Part 1: Proper Orthogonal Decomposition,” J. Fluid Mech., 612, pp. 107–141. [CrossRef]
George, W. K., 1988, “Insight Into the Dynamics of Coherent Structures From a Proper Orthogonal Decomposition,” Proceeding of the Symposium on Near Wall Turbulence.
Jung, D., Gamard, S., and George, W. K., 2004, “Downstream Evolution of the Most Energetic Modes in a Turbulent Axisymmetric Jet at High Reynolds Number. Part 1. The Near-Field Region,” J. Fluid Mech., 514, pp. 173–204. [CrossRef]
Iqbal, M. O., and Thomas, F. O., 2007, “Coherent Structures in a Turbulent Jet via a Vector Implementation of the Proper Orthogonal Decomposition,” J. Fluid Mech., 571, pp. 281–326. [CrossRef]
Agelin-Chaab, M., and Tachie, M. F., 2011, “Characteristics of Turbulent Three-Dimensional Offset Jets,” ASME J. Fluids Eng., 133(5), p. 051203. [CrossRef]
Sirovich, L., 1987, “Turbulence and the Dynamics of Coherent Structures. Part I: Coherent Structures,” Q. Appl. Math., 45, pp. 561–571.
Meyer, K. E., Pedersen, J. M., and Ozcan, O., 2007, “Turbulent Jet in Crossflow Analysed With Proper Orthogonal Decomposition,” J. Fluid Mech., 583, pp. 199–227. [CrossRef]
Liepmann, D., and Gharib, M., 1992, “The Role of Streamwise Vorticity in the Near-Field Entrainment of Round Jets,” J. Fluid Mech., 245, pp. 643–668. [CrossRef]


Grahic Jump Location
Fig. 1

(a) Schematic of a three-dimensional wall jet issuing from a contoured nozzle and (b) experimental setup showing laser and PIV camera arrangement

Grahic Jump Location
Fig. 2

Contours of the (a) mean streamwise velocity, (b) mean normal velocity, (c) mean lateral velocity, and (d) mean streamwise vorticity

Grahic Jump Location
Fig. 3

(a) Turbulent energy distribution in the first 39 modes, and (b) first, (c) second, (d) third, (e) fourth, and (f) fifth POD mode shape

Grahic Jump Location
Fig. 4

Contours and vectors plot of the instantaneous velocity at a random instant, (a) actual U, (b) reconstructed U using first five POD modes, (c) actual V & W, and (d) reconstructed V & W using first five POD modes

Grahic Jump Location
Fig. 5

POD reconstruction of the instantaneous velocity using first five POD modes and instantaneous streamwise vorticity

Grahic Jump Location
Fig. 6

Proposed coherent structure model in the near-field of the turbulent three-dimensional wall jet exiting from a contoured nozzle



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