Research Papers: Fundamental Issues and Canonical Flows

Statistical Properties of Round, Square, and Elliptic Jets at Low and Moderate Reynolds Numbers

[+] Author and Article Information
Seyed Sobhan Aleyasin

Department of Mechanical Engineering,
University of Manitoba,
Winnipeg, MB R3T 5 V6, Canada
e-mail: aleyasss@myumanitoba.ca

Mark Francis Tachie

Department of Mechanical Engineering,
University of Manitoba,
Winnipeg, MB R3T 5 V6, Canada

Mikhail Koupriyanov

Price Industries Limited,
Winnipeg, MB R2K 3Z9, Canada

1Corresponding author.

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received February 10, 2017; final manuscript received May 7, 2017; published online July 21, 2017. Assoc. Editor: Pierre E. Sullivan.

J. Fluids Eng 139(10), 101206 (Jul 21, 2017) (11 pages) Paper No: FE-17-1087; doi: 10.1115/1.4036824 History: Received February 10, 2017; Revised May 07, 2017

An experimental study was conducted to investigate the effect of nozzle geometries on the statistical properties of free orifice jets at low and moderate Reynolds numbers. The studied cross sections were round, square, and ellipses with aspect ratios of 2 and 3. For each jet, detailed velocity measurements were made using a particle image velocimetry (PIV) system at Reynolds numbers of 2500 and 17,000. The results showed that at both Reynolds numbers, the elliptic jets had relatively higher velocity decay and jet spreading; however, the nozzle geometry effects were more pronounced at Re = 17,000 than at Re = 2500. Analysis of the swirling strength revealed that the rotational motions induced by vortices within the minor planes of the elliptic jets were stronger than observed in the major planes, square and round jets which were consistent with the relatively higher spreading observed in the minor planes. It was observed that the streamwise locations of the switchover points were independent of Reynolds number but are a strong function of aspect ratio. Based on the present results and those documented in the literature, a linear correlation was proposed for the location of axis-switching in orifice jets. Due to the axis-switching phenomena, a sign change was observed in the distribution of the Reynolds shear stress in the major planes of the elliptic jets. This results in the existence of regions with negative eddy viscosity in the near field regions, an observation that has an important implication for the predictive capabilities of standard eddy viscosity models.

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Mi, J. , Nathan, G. J. , and Nobes, D. S. , 2001, “ Mixing Characteristics of Axisymmetric Free Jets From a Contoured Nozzle, an Orifice Plate and a Pipe,” ASME J. Fluids Eng., 123(4), pp. 878–883. [CrossRef]
Quinn, W. R. , 2006, “ Upstream Nozzle Shaping Effects on Near Field Flow in Round Turbulent Free Jets,” Eur. J. Mech. B/Fluids, 25(3), pp. 279–301. [CrossRef]
Kwon, S. J. , and Seo, I. W. , 2005, “ Reynolds Number Effects on the Behavior of a Non-Buoyant Round Jet,” Exp. Fluids, 38(6), pp. 801–812. [CrossRef]
Namer, I. , and Ötügen, M. V. , 1988, “ Velocity Measurements in a Plane Turbulent Air Jet at Moderate Reynolds Numbers,” Exp. Fluids, 6(6), pp. 387–399. [CrossRef]
Aleyasin, S. S. , Fathi, N. , Tachie, M. F. , Vorobieff, P. , and Koupriyanov, M. , 2017, “ Experimental-Numerical Analysis of Turbulent Incompressible Isothermal Jets,” ASME Fluids Engineering Division Summer Meeting, Waikoloa, HI, July 31–Aug. 2.
Mi, J. , Nathan, G. J. , and Luxton, R. E. , 2001, “ Centreline Mixing Characteristics of Jets From Nine Differently Shaped Nozzles,” Exp. Fluids, 28(1), pp. 93–94. [CrossRef]
Mi, J. , and Nathan, G. J. , 2010, “ Statistical Properties of Turbulent Free Jets Issuing From Nine Differently-Shaped Nozzles,” Flow Turbul. Combust., 84(4), pp. 583–606. [CrossRef]
Quinn, W. R. , 2007, “ Experimental Study of the Near Field and Transition Region of a Free Jet Issuing From a Sharp-Edged Elliptic Orifice Plate,” Eur. J. Mech. B/Fluids, 26(4), pp. 583–614. [CrossRef]
Ho, C.-M. , and Gutmark, E. , 1987, “ Vortex Induction and Mass Entrainment in a Small-Aspect-Ratio Elliptic Jet,” J. Fluid Mech., 179, pp. 383–405. [CrossRef]
Gutmark, E. J. , and Grinstein, F. F. , 1999, “ Flow Control With Noncircular Jets,” Annu. Rev. Fluid Mech., 31(1), pp. 239–272. [CrossRef]
Quinn, W. R. , 1994, “ Development of a Large-Aspect-Ratio Rectangular Turbulent Free Jet,” AIAA J., 32(3), pp. 547–554. [CrossRef]
Quinn, W. R. , 2005, “ Measurements in the Near Flow Field of an Isosceles Triangular Turbulent Free Jet,” Exp. Fluids, 39(1), pp. 111–126. [CrossRef]
Hashiehbaf, A. , and Romano, G. P. , 2013, “ Particle Image Velocimetry Investigation on Mixing Enhancement of Non-Circular Sharp Edge Nozzles,” Int. J. Heat Fluid Flow, 44, pp. 208–221. [CrossRef]
Quinn, W. R. , 1992, “ Turbulent Free Jet Flows Issuing From Sharp-Edged Rectangular Slots: The Influence of Slot Aspect Ratio,” Exp. Therm. Fluid Sci., 5(2), pp. 203–215. [CrossRef]
Quinn, W. R. , and Militzer, J. , 1988, “ Experimental and Numerical Study of a Turbulent Free Square Jet,” Phys. Fluids, 31(5), pp. 1017–1025. [CrossRef]
Hussain, F. , and Husain, H. S. , 1989, “ Elliptic Jets—Part 1: Characteristics of Unexcited and Excited Jets,” J. Fluid Mech, 208, pp. 257–320. [CrossRef]
Lee, S. J. , and Baek, S. J. , 1994, “ The Effect of Aspect Ratio on the Near-Field Turbulent Structure of Elliptic Jets,” Flow Meas. Instrum., 5(3), pp. 170–180. [CrossRef]
Agrawal, A. , and Prasad, A. , 2002, “ Properties of Vortices in the Self-Similar Turbulent Jet,” Exp. Fluids, 33(4), pp. 565–577. [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]
da Silva, C. B. , and Taveira, R. R. , 2010, “ The Thickness of the Turbulent/Nonturbulent Interface Is Equal to the Radius of the Large Vorticity Structures Near the Edge of the Shear Layer,” Phys. Fluids, 22(12), pp. 1–4. [CrossRef]
Shinneeb, A.-M. , Bugg, J. D. , and Balachandar, R. , 2008, “ Quantitative Investigation of Vortical Structures in the Near-Exit Region of an Axisymmetric Turbulent Jet,” J. Turbul., 9(19), pp. 1–20.
Shinneeb, A.-M. , Balachandar, R. , and Bugg, J. D. , 2008, “ Analysis of Coherent Structures in the Far-Field Region of an Axisymmetric Free Jet Identified Using Particle Image Velocimetry and Proper Orthogonal Decomposition,” ASME J. Fluids Eng., 130(1), p. 011202. [CrossRef]
Agrawal, A. , and Prasad, A. K. , 2002, “ Organizational Modes of Large-Scale Vortices in an Axisymmetric Turbulent Jet,” Flow Turbul. Combust., 68(4), pp. 359–377. [CrossRef]
Xu, M.-Y. , Tong, X.-Q. , Yue, D.-T. , Zhang, J.-P. , Mi, J.-C. , Nathan, G. J. , and Kalt, P. A. M. , 2014, “ Effect of Noncircular Orifice Plates on the Near Flow Field of Turbulent Free Jets,” Chin. Phys. B, 23(12), pp. 1–9. [CrossRef]
Aleyasin, S. S. , Tachie, M. F. , and Koupriyanov, M. , 2017, “ PIV Measurements in the Near and Intermediate Field Regions of Jets Issuing From Eight Different Nozzle Geometries,” Flow Turbul. Combust., accepted.
Coleman, H. W. , and Steele, W. G. , 1995, “ Engineering Application of Experimental Uncertainty Analysis,” AIAA J., 33(10), pp. 1888–1896. [CrossRef]
Gutmark, E. , and Ho, C.-M. , 1986, “ Visualization of a Forced Elliptic Jet,” AIAA J., 24(4), pp. 684–685. [CrossRef]
Yoon, J.-H. , and Lee, S.-J. , 2003, “ Investigation of the Near-Field Structure of an Elliptic Jet Using Stereoscopic Particle Image Velocimetry,” Meas. Sci. Technol., 14(12), pp. 2034–2046. [CrossRef]
Quinn, W. R. , 1989, “ On Mixing in an Elliptic Turbulent Free Jet,” Phys. Fluids A Fluid Dyn., 1(10), pp. 1716–1722. [CrossRef]
Afriyie, Y. Y. , Aleyasin, S. S. , Tachie, M. F. , Koupriyanov, M. , and Epp, T. , 2015, “Effect of Nozzle Geometry on Mixing in Turbulent Free Orifice Jets,” Eighth International Symposium On Turbulence, Heat and Mass Transfer (THMT), Sarajevo, Bosnia and Herzegovina, Sept. 15–18. http://www.dl.begellhouse.com/references/1bb331655c289a0a,55c1d3cc5663150e,10ec38c70cfd1f6b.html
Tsuchiya, Y. , Horikoshi, C. , and Sato, T. , 1986, “ On the Spread of Rectangular Jets,” Exp. Fluids, 4(4), pp. 197–204. [CrossRef]
Sfeir, A. A. , 1976, “ The Velocity and Temperature Fields of Rectangular Jets,” Int. J. Heat Mass Transfer, 19(11), pp. 1289–1297. [CrossRef]
Krothapalli, A. , Baganoff, D. , and Karamcheti, K. , 1981, “ On the Mixing of a Rectangular Jet,” J. Fluid Mech., 107, pp. 201–220. [CrossRef]
Fellouah, H. , Ball, C. G. , and Pollard, A. , 2009, “ Reynolds Number Effects Within the Development Region of a Turbulent Round Free Jet,” Int. J. Heat Mass Transfer, 52(17), pp. 3943–3954. [CrossRef]
Azad, M. , Quinn, W. R. , and Groulx, D. , 2012, “ Mixing in Turbulent Free Jets Issuing From Isosceles Triangular Orifices With Different Apex Angles,” Exp. Therm. Fluid Sci., 39, pp. 237–251. [CrossRef]
Zhou, J. , Adrian, R. J. , Balachandar, S. , and Kendall, T. M. , 1999, “ Mechanisms for Generating Coherent Packets of Hairpin Vortices in Channel Flow,” J. Fluid Mech., 387, pp. 353–396. [CrossRef]
Hutchins, N. , Hambleton, W. T. , and Marusic, I. , 2005, “ Inclined Cross-Stream Stereo Particle Image Velocimetry Measurements in Turbulent Boundary Layers,” J. Fluid Mech., 541, pp. 21–54. [CrossRef]
Tay, G. F. K. , Kuhn, D. C. S. , and Tachie, M. F. , 2013, “ Surface Roughness Effects on the Turbulence Statistics in a Low Reynolds Number Channel Flow,” J. Turbul., 14(1), pp. 121–146. [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]
Ong, L. , and Wallace, J. M. , 1998, “ Joint Probability Density Analysis of the Structure and Dynamics of the Vorticity Field of a Turbulent Boundary Layer,” J. Fluid Mech., 367, pp. 291–328. [CrossRef]


Grahic Jump Location
Fig. 3

Contour plots of normalized mean streamwise velocity for (a) round, (b) ellipse2 in minor plane, and (c) ellipse2 in major plane at Re = 2500

Grahic Jump Location
Fig. 2

Elliptic nozzle geometries: (a) ellipse2 and (b) ellipse3. The horizontal lines represent major axes while the vertical lines denote minor axes. All dimensions are in millimeter.

Grahic Jump Location
Fig. 1

Schematic of experimental setup (not to scale)

Grahic Jump Location
Fig. 4

Mean streamwise velocity decay on jet centerline at (a) Re = 2500 and (b) Re = 17,000

Grahic Jump Location
Fig. 8

Contours of normalized instantaneous swirling strength for (a) minor and (b) major planes of ellipse2 at Re = 2500

Grahic Jump Location
Fig. 5

Development of half-velocity width at (a) Re = 2500 and (b) Re = 17,000

Grahic Jump Location
Fig. 6

Streamwise locations of axis-switching points: elliptic orifice nozzles (: present_Re = 2500, : present_Re = 17,000, : Re = 8000 [13], : Re = 10,000 [28], : Re = 35,000 [13], : Re = 40,000 [17], : Re = 100,000 [16], Re = 188,000 [8], and : Re = 208,000 [29]), elliptic smooth contraction nozzles (: Re = 78,000 [9] and : Re = 100,000 [16]), rectangular orifice nozzles (: Re = 5400 [30], : Re = 8000 [13], : Re = 15,000 [31], : Re = 35,000 [13], : Re = 208,000 [14], and : [32]), and rectangular smooth contraction nozzles (:[33])

Grahic Jump Location
Fig. 7

Evolution of the streamwise turbulence intensities on the jet centerline at Re = 2500

Grahic Jump Location
Fig. 9

Contour plots of normalized mean vorticity for (a) round and (b) minor and (c) major planes of ellipse2 at Re = 2500

Grahic Jump Location
Fig. 10

Statistics of swirling strength (a) fraction of time with prograde, retrograde and nonzero swirling strength at Re = 2500, (b) average dimensionless swirling strength during prograde, retrograde and nonzero swirling events at Re = 2500, product of fraction of time and corresponding swirling at (c) Re = 2500 and (d) Re = 17,000. The profiles are extracted at x/d = 7. Symbols: round— prograde, retrograde, and nonzero; ellipse2_minor— prograde, retrograde, and nonzero; ellipse2_major— prograde, retrograde, and nonzero; square_prograde; and ellipse3_minor_prograde.

Grahic Jump Location
Fig. 11

Normalized contour plots of Reynolds shear stress for ellipse3 in (a) minor and (b) major plane at Re = 17,000

Grahic Jump Location
Fig. 12

(a) and (b) JPDF and (c) and (d) WJPDF contours of u and v for ellipse3_major at Re = 17,000. Plots are extracted at half-velocity width in the upper shear layer at (a) and (c) x/d = 1 and (b) and (d) x/d = 3.

Grahic Jump Location
Fig. 13

(a) and (b) JPDF and (c) and (d) WJPDF contours of u and v for ellipse3_minor at Re = 17,000. Plots are extracted at half-velocity width in the upper shear layer at (a) and (c) x/d = 1 and (b) and (d) x/d = 3.

Grahic Jump Location
Fig. 14

Eddy viscosity profiles at x/d = 1 at Re = 17,000




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