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On coherent structures in a three-dimensional transitional plane jet

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Abstract

Direct numerical simulation of coherent structures in the three-dimensional transitional jet with a moderate Reynolds number of 5000 was conducted. The finite volume method was used to discretize the governing equations in space and the low-storage, three-order Runge-Kutta scheme was used for time integration. The comparisons between the statistical results of the flow field and the related experimental data were performed to validate the reliability of the present numerical schemes. The emphasis was placed on the study of the spatial evolution of the three-dimensional coherent vortex structures as well as their interactions. It is found that the evolution of the spanwise vortex structures in three-dimensional space is similar to that in two-dimensional jet. The spanwise vortex structures are subject to three-dimensional instability and induce the formation of the streamwise and lateral vortex structures. Going with the breakup and mixing of the spanwise vortex structures, the streamwise and transverse vortex tubes also fall to pieces and the mixing arranged small-scale structures are formed in the flow field. Finally, the arrangement relationship among the spanwise, the streamwise and the lateral vortex structures was analyzed and their interactions were also discussed.

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References

  1. Gutmark E, Wygnanski I. The planar turbulent jet. J Fluid Mech, 1976, 73(3): 465–495

    Article  Google Scholar 

  2. Ramaprian B R, Chandrasekhara M S. LDA measurements in plane turbulent jets. ASME J Fluids Engrg, 1985, 107:264–271

    Article  Google Scholar 

  3. Goldschmidt V W, Bradshaw P. Flap** of a plane jet. Phys Fluids, 1973, 16(3): 354–355

    Article  Google Scholar 

  4. Crow S C, Champagne F H. Orderly structure in jet turbulence. J Fluid Mech, 1971, 77: 397–413

    Google Scholar 

  5. Liepmann D, Gharib M. The role of streamwise vorticity in the near-field entrainment of round jets. J Fluid Mech, 1992, 245: 643–668

    Article  Google Scholar 

  6. Thomas F O, Goldschmidt V W. Structural characteristics of a develo** turbulent planar jet. J Fluid Mech, 1986, 163:227–256

    Article  Google Scholar 

  7. Wang X L, Gu H X, Lin W Y. Coherent structure visualization of round turbulent jet. Tsinghua Sci Technol, 1997, 2(2):624–627

    Google Scholar 

  8. Fan Q L, Zhang H Q, Guo Y C, et al. Experimental studies of two-phase round turbulent jet coherent structures. Tsinghua Sci Technol, 2000, 5(1): 105–108

    Google Scholar 

  9. Liu M Y, Ma Y W, Fu D X. Evolution of three-dimensional coherent structures in compressible axisymmetric jet. Sci China Ser G-Phys, Mech, Astron, 2003, 46(4): 348–355

    Article  MATH  Google Scholar 

  10. Sakai Y, Tanaka N, Kushida T. On the development of coherent structure in a plane jet: Part 1, Characteristics of two-point velocity correlation and analysis of eigenmodes by the KL expansion. JSME Int J Ser B, 2006, 49(1): 115–124

    Article  Google Scholar 

  11. Sakai Y, Tanaka N, Kushida T. On the development of coherent structure in a plane jet: Part 2, Investigation of spatiotemporal velocity structure by the KL expansion. JSME Int J Ser B, 2006, 49(3): 714–721

    Article  Google Scholar 

  12. Partankar S V. Numerical Heat Transfer and Fluid Flow. Washington D C: Hemisphere Publishing Corp, 1980

    Google Scholar 

  13. Moin P, Mahesh K. Direct numerical simulation: A tool in turbulence research. Ann Rev Fluid Mech, 1998, 30: 539–578

    Article  MathSciNet  Google Scholar 

  14. Williamson J. Low-storage Runge-Kutta schemes. J Comput Phys, 1980, 35: 48–56

    Article  MATH  MathSciNet  Google Scholar 

  15. Luo K, Fan J R, Cen K F. Transitional phenomenon of particle dispersion in gas-solid two-phase flows. Chin Sci Bull, 2007, 52(1): 1–10

    Article  Google Scholar 

  16. Namer I, Ötügen M V. Velocity measurements in a plane turbulent air jet at moderate Reynolds numbers. Exp Fluids, 1988, 6:387–399

    Article  Google Scholar 

  17. Fan J R, Luo K, Ha M Y, et al. Direct numerical simulation of a near-field particle-laden plane turbulent jet. Phys Rev E, 2004, 70: 026303-1–026303-14

    Article  Google Scholar 

  18. Ling W, Chung J N, Troutt T R, et al. Direct numerical simulation of a three-dimensional temporal mixing layer with particle dispersion. J Fluid Mech, 1998, 358: 61–85

    Article  MATH  Google Scholar 

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Correspondence to Kun Luo.

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Supported by the National Natural Science Foundation of China (Grant No. 50506027)

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Luo, K., Yan, J., Fan, J. et al. On coherent structures in a three-dimensional transitional plane jet. Sci. China Ser. E-Technol. Sci. 51, 386–396 (2008). https://doi.org/10.1007/s11431-008-0032-x

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  • DOI: https://doi.org/10.1007/s11431-008-0032-x

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