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Research Papers: Fundamental Issues and Canonical Flows

Evaluation of RANS Models in Predicting Low Reynolds, Free, Turbulent Round Jet

[+] Author and Article Information
Shahriar Ghahremanian

e-mail: Shahriar.Ghahremanian@liu.se;
shrghn@hig.se

Bahram Moshfegh

e-mail: Baharam.moshfegh@liu.se; bmh@hig.se
Department of Management and Engineering,
Linköping University,
Linköping 581 83, Sweden
Department of Building,
Energy and Environmental Engineering,
University of Gävle,
Gävle, 801 76, Sweden

1Corresponding author.

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received July 13, 2012; final manuscript received September 4, 2013; published online October 7, 2013. Assoc. Editor: Sharath S. Girimaji.

J. Fluids Eng 136(1), 011201 (Oct 07, 2013) (13 pages) Paper No: FE-12-1325; doi: 10.1115/1.4025363 History: Received July 13, 2012; Revised September 04, 2013

In order to study the flow behavior of multiple jets, numerical prediction of the three-dimensional domain of round jets from the nozzle edge up to the turbulent region is essential. The previous numerical studies on the round jet are limited to either two-dimensional investigation with Reynolds-averaged Navier–Stokes (RANS) models or three-dimensional prediction with higher turbulence models such as large eddy simulation (LES) or direct numerical simulation (DNS). The present study tries to evaluate different RANS turbulence models in the three-dimensional simulation of the whole domain of an isothermal, low Re (Re = 2125, 3461, and 4555), free, turbulent round jet. For this evaluation the simulation results from two two-equation (low Re k-ɛ and low Re shear stress transport (SST) k-ω), a transition three-equation (k-kl-ω), and a transition four-equation (SST) eddy-viscosity turbulence models are compared with hot-wire anemometry measurements. Due to the importance of providing correct inlet boundary conditions, the inlet velocity profile, the turbulent kinetic energy (k), and its specific dissipation rate (ω) at the nozzle exit have been employed from an earlier verified numerical simulation. Two-equation RANS models with low Reynolds correction can predict the whole domain (initial, transition, and fully developed regions) of the round jet with prescribed inlet boundary conditions. The transition models could only reach to a good agreement with the measured mean axial velocities and its rms in the initial region. It worth mentioning that the round jet anomaly is still present in the turbulent region of the round jet predicted by the low Re k-ɛ. By comparing the k and the ω predicted by different turbulence models, the blending functions in the cross-diffusion term is found one of the reasons behind the more consistent prediction by the low Re SST k-ω.

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References

Olsson, M., and Fuchs, L., 1996, “Large Eddy Simulation of the Proximal Region of a Spatially Developing Circular Jet,” Phys. Fluid., 8(8), pp. 2125–2137. [CrossRef]
Quinn, W. R., and Militzer, J., 1989, “Effects of Nonparallel Exit Flow on Round Turbulent Free Jets,” Int. J. Heat Fluid Flow, 10(2), pp. 139–145. [CrossRef]
Sami, S., Carmody, T., and Rouse, H., 1967, “Jet Diffusion in the Region of Flow Establishment,” J. Fluid Mech., 27(2), pp. 231–252. [CrossRef]
Hill, B. J., 1972, “Measurement of Local Entrainment Rate in the Initial Region of Axisymmetric Turbulent air Jets,” J. Fluid Mech., 51(4), pp. 773–779. [CrossRef]
Boguslawski, L., and Popiel, C. O., 1979, “Flow Structure of the Free Round Turbulent Jet in the Initial Region,” J. Fluid Mech., 90(3), pp. 531–539. [CrossRef]
Obot, N. T., Graska, M. L., and Trabold, T. A., 1984, “The Near Field Behavior of Round Jets at Moderate Reynolds Numbers,” Can. J. Chem. Eng., 62(5), pp. 587–593. [CrossRef]
Davies, P. O. A. L., Fisher, M. J., and Barratt, M. J., 1963, “The Characteristics of the Turbulence in the Mixing Region of a Round Jet,” J. Fluid Mech., 15(3), pp. 337–367. [CrossRef]
Bradshaw, P., Ferriss, D. H., and Johnson, R. F., 1964, “Turbulence in the Noise-Producing Region of a Circular Jet,” J. Fluid Mech., 19(4), pp. 591–624. [CrossRef]
Ko, N. W. M., and Davies, P. O. A. L., 1971, “The Near Field Within the Potential Cone of Subsonic Cold Jets,” J. Fluid Mech., 50(1), pp. 49–78. [CrossRef]
Lau, J. C., and Fisher, M. J., 1975, “The Vortex-street Structure of ‘Turbulent’' Jets. Part 1,” J. Fluid Mech., 67(2), pp. 299–337. [CrossRef]
Crow, S. C., and Champagne, F. H., 1971, “Orderly Structure in Jet Turbulence,” J. Fluid Mech., 48(3), pp. 547–591. [CrossRef]
Hussain, A. K. M. F., 1983, “Coherent Structures—Reality and Myth,” Phys. Fluid., 26(10), pp. 2816–2850. [CrossRef]
Dimotakis, P. E., Miake-Lye, R. C., and Papantoniou, D. A., 1983, “Structure and Dynamics of Round Turbulent Jets,” Phys. Fluid., 26(11), pp. 3185–3192. [CrossRef]
Pope, S. B., 2000, Turbulent Flows, Cambridge University Press, Cambridge, UK.
Wygnanski, I., and Fiedler, H., 1969, “Some Measurements in the Self-Preserving Jet,” J. Fluid Mech., 38(3), pp. 577–612. [CrossRef]
Rodi, W., 1975, “A New Method of Analysing Hot-Wire Signals in Highly Turbulent Flow, and Its Evaluation in a Round Jet,” DISA Information, 17, pp. 9–18.
Panchapakesan, N. R., and Lumley, J. L., 1993, “Turbulence Measurements in Axisymmetric Jets of Air and Helium. Part 1. Air Jet,” J. Fluid Mech., 246(-1), pp. 197–223. [CrossRef]
Hussein, J. H., Capp, S. P., and George, W. K., 1994, “Velocity Measurements in a High-Reynolds-Number, Momentum-Conserving, Axisymmetric, Turbulent Jet,” J. Fluid Mech., 258, pp. 31–75. [CrossRef]
Ewing, D., Frohnapfel, B., George, W. K., Pedersen, J. M., and Westerweel, J., 2007, “Two-Point Similarity in the Round Jet,” J. Fluid Mech., 577, pp. 309–330. [CrossRef]
Rajaratnam, N., 1976, Turbulent Jets, Elsevier Publishing Co., Amsterdam and New York.
Schlichting, H., and Gersten, K., 2000, Boundary-Layer Theory, Springer, Berlin.
Spalding, D. B., 1971, “Concentration Fluctuations in a Round Turbulent Free Jet,” Chem. Eng. Sci., 26(1), pp. 95–107. [CrossRef]
Launder, B. E., Morse, A. P., Rodi, W., and Spalding, D. B., 1972, “Prediction of Free shear Flows: A Comparison of the Performance of Six Turbulence Models,” Proceedings of the NASA Langley Free Shear Flows Conference, Washington, DC, NASA SP 321, Vol. 1, pp. 361–422.
Pope, S. B., 1978, “An Explanation of the Turbulent Round-Jet/Plane-Jet Anomaly,” AIAA J., 16, pp. 279–281. [CrossRef]
Givi, P., and Ramos, J. I., 1984, “On the Calculation of Heat and Momentum Transport in a Round Jet,” Int. Commun. Heat Mass Transf., 11(2), pp. 173–182. [CrossRef]
Cho, J. R., and Chung, M. K., 1992, “A k-ε-γ Equation Turbulence Model,” J. Fluid Mech., 237, pp. 301–322. [CrossRef]
Robinson, D. F., Harris, J. E., and Hassan, H. A., 1995, “Unified Turbulence Closure Model for Axisymmetric and Planar Free Shear Flows,” AIAA J., 33(12), pp. 2325–2331. [CrossRef]
Ghirelli, F., 2007, “kεα: A Three-Equation Eddy-Viscosity Model of Turbulence,” Int. J. Num. Meth. Heat Fluid Flow, 17(2), pp. 140–164. [CrossRef]
Ball, C. G., Fellouah, H., and Pollard, A., 2012, “The Flow Field in Turbulent Round Free Jets,” Prog. Aerosp. Sci., 50, pp. 1–26. [CrossRef]
Tanaka, E., 1970, “The Interference of Two-Dimensional Parallel Jets: 1st Report, Experiments on Dual Jet,” Bull. JSME, 13(56), pp. 272–280. [CrossRef]
Tanaka, E., 1974, “The Interference of Two-Dimensional Parallel Jets: 2nd Report, Experiments on the Combined Flow of Dual Jet,” Bull. JSME, 17(109), pp. 920–927. [CrossRef]
Tanaka, E., and Nakata, S., 1975, “The Interference of Two-Dimensional Parallel Jets: 3rd Report, The Flow Region Near the Nozzle in Triple Jets,” Trans. JSME, 41(342), pp. 537–545. [CrossRef]
Janbakhsh, S., Moshfegh, B., and Ghahremanian, S., 2010, “A Newly Designed Supply Diffuser for Industrial Premises,” Int. J. Vent., 9(1), pp. 59–67. [CrossRef]
Gouldin, F. C., Schefer, R. W., Johnson, S. C., and Kollmann, W., 1986, “Nonreacting Turbulent Mixing Flows,” Prog. Energy Combust. Sci., 12(4), pp. 257–303. [CrossRef]
Faghani, E., Saemi, S., Maddahian, R., and Farhanieh, B., 2010, “On the Effect of Inflow Conditions in Simulation of a Turbulent Round Jet,” Arch. Appl. Mech., 81(10), pp. 1439–1453. [CrossRef]
Papadopoulos, G., and Pitts, W. M., 1999, “A Generic Centerline Velocity Decay Curve for Initially Turbulent Axisymmetric Jets,” ASME J. Fluid. Eng., 121(1), pp. 80–85. [CrossRef]
Zaman, K. B. M. Q., and Hussain, A. K. M. F., 1984, “Natural Large-Scale Structures in the Axisymmetric Mixing Layer,” J. Fluid Mech., 138, pp. 325–351. [CrossRef]
George, W. K., 1989, The Self-Preservation of Turbulent Flows and Its Relation to Initial Conditions and Coherent Structures, Hemisphere, New York.
Boersma, B. J., Brethouwer, G., and Nieuwstadt, F. T. M., 1998, “A Numerical Investigation on the Effect of the Inflow Conditions on the Self-Similar Region of a Round Jet,” Phys. Fluid., 10(4), pp. 899–909. [CrossRef]
George, W. K., and Davidson, L., 2004, “Role of Initial Conditions in Establishing Flow Behavior,” AIAA J., 42(3), pp. 438–446. [CrossRef]
George, W. K., 2012, “Asymptotic Effect of Initial and Upstream Conditions on Turbulence,” ASME J. Fluid. Eng., 134(6), pp. 061203–061227. [CrossRef]
Antonia, R. A., and Zhao, Q., 2001, “Effect of Initial Conditions on a Circular Jet,” Experiment. Fluid., 31(3), pp. 319–323. [CrossRef]
Ghahremanian, S., and Moshfegh, B., “A Study on Proximal Region of Low Reynolds Confluent Jets Part I: Evaluation of Turbulence Models in Prediction of Inlet Boundary Conditions,” ASHRAE Trans., (in press).
Morse, A. P., 1977, “Axisymmetric Turbulent Shear Flows With and Without Swirl” Ph.D. thesis, London University, England.
McGuirk, J. J., and Rodi, W., 1977, “The Calculation of Three-Dimensional Free Jets,” Proc. Symposium on Turbulent Shear Flows.
Wilcox, D. C., 2006, Turbulence Modeling for CFD, DCW Industries, Inc., La Canada, CA.
Menter, F. R., 1994, “Two-Equation Eddy-Viscosity Turbulence Models for Engineering Applications,” AIAA J., 32(8), pp. 1598–1605. [CrossRef]
Gohil, T. B., Saha, A. K., and Muralidhar, K., 2011, “Direct Numerical Simulation of Naturally Evolving Free Circular Jet,” ASME J. Fluid. Eng., 133(11), p. 111203. [CrossRef]
Launder, B. E., and Sharma, B. I., 1974, “Application of the Energy-Dissipation Model of Turbulence to the Calculation of Flow Near a Spinning Disc,” Lett. Heat Mass Transf., 1(2), pp. 131–137. [CrossRef]
Walters, D. K., and Cokljat, D., 2008, “A Three-Equation Eddy-Viscosity Model for Reynolds-Averaged Navier–Stokes Simulations of Transitional Flow,” ASME J. Fluid. Eng., 130(12), pp. 121401–121414. [CrossRef]
Walters, D. K., and Leylek, J. H., 2004, “A New Model for Boundary Layer Transition Using a Single-Point RANS Approach,” ASME J. Turbomach., 126(1), pp. 193–202. [CrossRef]
Menter, F. R., Langtry, R. B., Likki, S. R., Suzen, Y. B., Huang, P. G., and Volker, S., 2006, “A Correlation-Based Transition Model Using Local Variables—Part I: Model Formulation,” ASME J. Turbomach., 128(3), pp. 413–422. [CrossRef]
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. Fluid. Eng., 123(4), pp. 878–883. [CrossRef]
Mi, J., Nobes, D. S., and Nathan, G. J., 2001, “Influence of Jet Exit Conditions on the Passive Scalar Field of an Axisymmetric Free Jet,” J. Fluid Mech., 432, pp. 91–125. [CrossRef]
Deo, R. C., Mi, J., and Nathan, G. J., 2007, “The Influence of Nozzle-Exit Geometric Profile on Statistical Properties of a Turbulent Plane Jet,” Experiment. Therm. Fluid Sci., 32(2), pp. 545–559. [CrossRef]
Mi, J., Nathan, G. J., and Luxton, R. E., 2000, “Centreline Mixing Characteristics of Jets From Nine Differently Shaped Nozzles,” Experiment. Fluid., 28(1), pp. 93–94. [CrossRef]
Gilliland, T., Ranga-Dinesh, K. K. J., Fairweather, M., Falle, S. A. E. G., Jenkins, K. W., and Savill, A. M., 2012, “External Intermittency Simulation in Turbulent Round Jets,” Flow Turb. Combust., 89(3), pp. 385–406. [CrossRef]
Ranga Dinesh, K. K. J., Savill, A. M., Jenkins, K. W., and Kirkpatrick, M. P., 2010, “LES of Intermittency in a Turbulent Round Jet With Different Inlet Conditions,” Comput. Fluid., 39(9), pp. 1685–1695. [CrossRef]
Hinze, J. O., 1975, Turbulence, McGraw-Hill, New York.
Bruun, H. H., 1995, Hot-Wire Anemometry—Principles and Signal Analysis, Oxford University Press, Oxford, UK.
Ghahremanian, S., and Moshfegh, B., 2011, “Numerical and Experimental Verification of Initial, Transitional and Turbulent Regions of Free Turbulent Round Jet,” 20th AIAA Computational Fluid Dynamics Conference, Honolulu, HI.
Ramjee, V., and Hussain, A. K. M. F., 1976, “Influence of the Axisymmetric Contraction Ratio on Free-Stream Turbulence,” ASME J. Fluid. Eng., 98(3), pp. 506–515. [CrossRef]
Malmström, T. G., Kirkpatrick, A. T., Christensen, B., and Knappmiller, K. D., 1997, “Centreline Velocity Decay Measurements in Low-Velocity Axisymmetric Jets,” J. Fluid Mech., 346, pp. 363–377. [CrossRef]
Nottage, H. B., 1951, Report on Ventilation Jets in Room Air Distribution, Case Institute of Technology, Cleveland, OH.
Picano, F., and Casciola, C. M., 2007, “Small-Scale Isotropy and Universality of Axisymmetric Jets,” Phys. Fluid., 19(11), p. 118106. [CrossRef]

Figures

Grahic Jump Location
Fig. 1

Computational domain

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Fig. 2

Inlet grid and its velocity and turbulent kinetic energy profile

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Fig. 3

Computational grid: nozzle grid, whole domain, and coordinate system

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Fig. 5

Decay of mean axial velocity along the centerline

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Fig. 6

Predicted (SST k-ω) decay of mean axial velocity along the centerline for different Reynolds number

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Fig. 7

Mean axial velocity and turbulence intensity at y = 0.34 d0 (M stands for measurement) [61]

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Fig. 8

Close-up view of axial mean velocity decay along the centerline

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Fig. 9

Mean axial velocity and its rms profile at y/d0 = 4.31 ((urms|max/Umax)|M = 0.15,(urms|max/Umax)|SSTk-ω = 0.15)

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Fig. 10

Mean axial velocity and its rms profile at y/d0 = 6.38 ((urms|max/Umax)|M = 0.15,(urms|max/Umax)|SSTk-ω = 0.16)

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Fig. 11

Mean axial velocity and its rms profile at y/d0 = 8.28 ((urms|max/Umax)|M = 0.18,(urms|max/Umax)|SSTk-ω = 0.18)

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Fig. 12

Mean axial velocity and its rms profile at y/d0 = 15.34 ((urms|max/Umax)|M = 0.22,(urms|max/Umax)|SSTk-ω = 0.25)

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Fig. 13

Mean streamwise velocity and its rms profile at y/d0 = 20.34 ((urms|max/Umax)|M = 0.25,(urms|max/Umax)|SSTk-ω = 0.26)

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Fig. 14

Mean axial velocity and its rms profile at y/d0 = 25.34 ((urms|max/Umax)|M = 0.26,(urms|max/Umax)|SSTk-ω = 0.27)

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Fig. 15

Mean axial velocity and its rms profile at y/d0 = 30.34 ((urms|max/Umax)|M = 0.25,(urms|max/Umax)|SSTk-ω = 0.27)

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Fig. 16

Self-similarity of round jet at different cross-sectional profiles (M stands for measurement) [61]

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Fig. 17

Radial spreading of jet

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Fig. 18

Turbulent kinetic energy (k) of different turbulence models at four cross-sectional profiles

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Fig. 19

Turbulent frequency (specific dissipation rate, ω) computed by different turbulence models at four cross-sectional profiles

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