Skip to main content
Log in

Fractal-Generated Turbulence in Opposed Jet Flows

  • Published:
Flow, Turbulence and Combustion Aims and scope Submit manuscript

Abstract

The opposed jet configuration presents a canonical geometry suitable for the evaluation of calculation methods seeking to reproduce the impact of strain and re-distribution on turbulent transport in reacting and non-reacting flows. The geometry has the advantage of good optical access and, in principle, an absence of complex boundary conditions. Disadvantages include low frequency flow motion at high nozzle separations and comparatively low turbulence levels causing bulk strain to exceed the turbulent contribution at small nozzle separations. In the current work, fractal generated turbulence has been used to increase the turbulent strain and velocity measurements for isothermal flows are reported with an emphasis on the axis, stagnation plane and the distribution of mean and instantaneous strain rates. Energy spectra were also determined. The instrumentation comprised hot-wire anemometry and particle image velocimetry with the flows to both nozzles seeded with 1 \(\upmu\)m silicon oil droplets providing a relaxation time of ≃ 3 \(\upmu\)s. It is shown that fractal grids increase the turbulent Reynolds number range from 48–125 to 109–220 for bulk velocities from 4 to 8 m/s as compared to conventional perforated plate turbulence generators. Low frequency motion of the order 10 Hz could not be completely eliminated and probability density functions were determined for the location of the stagnation plane. Results show that the fluctuation in the position of the stagnation plane is of the order of the integral length scale, which was determined to be 3.1±0.1 mm at the nozzle exits through the use of hot-wire anemometry. Flow statistics close to the fractal plate located upstream of the nozzle exit were also determined using a transparent glass nozzle.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Craft, T.J., Launder, B.E., Suga, K.: Development and application of a cubic eddy-viscosity model of turbulence. Int. Heat J. Fluid Flow 17, 108–115 (1996)

    Article  Google Scholar 

  2. Lindstedt, R.P., Luff, D., Whitelaw, J.H.: Velocity and strain-rate characteristics of opposed isothermal flows. Flow Turbul. Combust. 74, 169–194 (2005)

    Article  Google Scholar 

  3. Kempf, A., Forkel, H., Sadiki, A., Janicka, J., Chen, J.-Y.: Large eddy simulation of counterflow configuration with and without combustion. Proc. Combust. Inst. 28, 35–40 (2000)

    Article  Google Scholar 

  4. Yakhot, V., Orzag, A., Thangam, S., Gatski, T.B., Speziale, C.G.: Development of turbulence models for shear flows by a double expansion technique. Phys. Fluids 4, 1510–1520 (1992)

    Article  MATH  MathSciNet  Google Scholar 

  5. Haworth, D.C., Pope, S.B.: A generalized langevin model for turbulent flows. Phys. Fluids 29, 387–405 (1986)

    Article  MATH  MathSciNet  Google Scholar 

  6. Haworth, D.C., Pope, S.B.: A pdf modeling study of self-similar turbulent free shear flows. Phys. Fluids 30, 1026–1044 (1987)

    Article  Google Scholar 

  7. Geyer, D., Kempf, A., Dreizler, A., Janicka, J.: Turbulent opposed-jet flames: a critical benchmark experiment for combustion LES. Combust. Flame 143, 524–548 (2005)

    Article  Google Scholar 

  8. Bray, K.N.C., Champion, M., Libby, P.A.: Premixed flames in stagnating turbulence part II—the mean velocities and pressure and the Damköhler number. Combust. Flame 112, 635–654 (1998)

    Article  Google Scholar 

  9. Rolon, J.C., Veynante, D., Martin, J.P.: Counter jet stagnation flows. Exp. Fluids 11, 313–324 (1991)

    Article  Google Scholar 

  10. Mastorakos, E., Taylor, A.M.K.P., Whitelaw, J.H.: Scalar dissipation rate at the extinction of turbulent counterflow nonpremixed flames. Combust. Flame 91, 55–64 (1992)

    Article  Google Scholar 

  11. Kostiuk, L.W., Bray, K.N.C., Cheng, R.K.: Experimental study of premixed turbulent combustion in opposed streams. Part I—nonreacting flow field. Combust. Flame 92, 377–395 (1993)

    Article  Google Scholar 

  12. Mounaïm-Rousselle, C., Gökalp, I.: Turbulent premixed combustion in counterflow geometry. The influence of a coflow. In: Spring Annual Meeting of the Western States Section of the Combustion Institute (1993)

  13. Sardi, K., Taylor, A.M.K.P., Whitelaw, J.H.: Conditional scalar dissipation statistics in a turbulent counterflow. Fluid J. Mech. 361, 1–24 (1998)

    Article  MATH  MathSciNet  Google Scholar 

  14. Stan, G., Johnson, D.A.: Experimental and numerical analysis of turbulent opposed impinging jets. AIAA J. 39(10), 1901–1908 (2001)

    Article  Google Scholar 

  15. Geyer, D., Omar, S., Nauert, A., Ludwig, A., Dreizler, A., Janicka, J.: A comprehensive characterisation of a turbulent opposed jet flame by 1D-Raman/Rayleigh, 2D-LIF and 2D-LDV. VDI-Ber. 1750, 435–440 (2003)

    Google Scholar 

  16. Coppola, G., Coriton, B., Gomez, A.: Highly turbulent counterflow flames: a laboratory scale benchmark for practical systems. Combust. Flame 156, 1834–1843 (2009)

    Article  Google Scholar 

  17. Korusoy, E., Whitelaw, J.H.: Extinction and relight in opposed flames. Exp. Fluids 33, 75–89 (2002)

    Google Scholar 

  18. Mastorakos, E.: Turbulent combustion in opposed jet flows. Ph.D. thesis, Imperial College London, UK (1993)

    Google Scholar 

  19. Kostiuk, L.W., Bray, K.N.C., Cheng, R.K.: Experimental study of premixed turbulent combustion in opposed streams. Part II—reacting flow field and extinction. Combust. Flame 92, 396–409 (1993)

    Article  Google Scholar 

  20. Hurst, D., Vassilicos, J.C.: Scaling and decay of fractal-generated turbulence. Phys. Fluids 19(035103), 1–31 (2007)

    Google Scholar 

  21. Seoud, R.E.,Vassilicos, J.C.: Dissipation and decay of fractal generated turbulence. Phys. Fluids 19(105108), 1–11 (2007)

    Google Scholar 

  22. Vassilicos, J.C., Hunt, J.C.R.: Fractal dimensions and spectra of interfaces with application to turbulence. Proc. Roy. Soc. A 435(1895), 505–534 (1991)

    Article  MATH  MathSciNet  Google Scholar 

  23. Lindstedt, R.P., Luff, D.S.: Velocity fields of lean premixed turbulent opposed jet flames. Proc. Combust. Inst. 31, 1459–1466 (2007)

    Article  Google Scholar 

  24. Kostiuk, L.W., Shepherd, I.G., Bray, K.N.C.: Experimental study of premixed turbulent combustion in opposed streams. Part III—spatial structure of flames. Combust. Flame 118, 129–139 (1999)

    Article  Google Scholar 

  25. Mastorakos, E., Taylor, A.M.K.P., Whitelaw, J.H.: Extinction of turbulent counterflow flames with reactants diluted by hot products. Combust. Flame 102, 101–114 (1995)

    Article  Google Scholar 

  26. Sardi, K., Whitelaw, J.H.: Extinction timescales of periodically strained, lean counterflow flames. Exp. Fluids 27, 199–209 (1999)

    Article  Google Scholar 

  27. Mastorakos, E., Taylor, A.M.K.P., Whitelaw, J.H.: Extinction and temperature characteristics of turbulent counterflow diffusion flames with partial premixing. Combust. Flame 91, 40–54 (1992)

    Article  Google Scholar 

  28. Sardi, K., Taylor, A.M.K.P., Whitelaw, J.H.: Extinction of turbulent counterflow flames under periodic strain. Combust. Flame 120, 265–284 (2000)

    Article  Google Scholar 

  29. Luff, D.S.: Experiments and calculations of opposed and ducted flows. Ph.D. thesis, Imperial College London, UK (2005)

    Google Scholar 

  30. Kostiuk, L.W.: Premixed turbulent combustion in counterflowing streams. Ph.D. thesis, Churchill College, University of Cambridge (1991)

  31. Han, D., Mungal, M.G.: Simultaneous velocity and CH distributions. Part I: Jet flames in a co–flow. Combust. Flame 132, 565–590 (2003)

    Article  Google Scholar 

  32. Denshchikov, V.A., Kontratev, V.N., Romashev, A.N.: Interaction between two opposed jets. Fluid Dyn. 13(6), 313–324 (1978)

    Google Scholar 

  33. Denshchikov, V.A., Kontratev, V.N., Romashev, A.N., Chubarov, V.M.: Auto-oscillation of planar colliding jets. Fluid Dyn. 18(3), 460–462 (1978)

    Article  Google Scholar 

  34. Mounaïm-Rousselle, C., Gökalp, I.: Strain effects on the structure of counterflowing turbulent premixed flames. Proc. Combust. Inst. 25, 1199–1205 (1994)

    Google Scholar 

  35. Korusoy, E., Whitelaw, J.H.: Opposed jets with small separations and their implications for the extinction of opposed flames. Exp. Fluids 31, 111–117 (2001)

    Article  Google Scholar 

  36. Pope, S.B.: Turbulent Flows. Cambridge University Press, Cambridge, UK (2000)

    MATH  Google Scholar 

  37. von Kármán, T.: Progress in the statistical theory of turbulence. Proc. Natl. Acad. Sci. USA 34, 530–539 (1948)

    Article  MATH  Google Scholar 

  38. Kraichnan, R.H.: The structure of isotropic turbulence at very high Reynolds numbers. J. Fluid Mech. 5, 497–543 (1959)

    Article  MATH  MathSciNet  Google Scholar 

  39. Pao, Y.-H.: Structure of turbulent velocity and scalar fields at large wavenumbers. Phys. Fluids 8, 1063–1075 (1965)

    Article  Google Scholar 

  40. Comte-Bellot, G., Corrsin, S.: Simple Eulerian time correlation of full- and narrow-band velocity signals in grid-generated, isotropic turbulence. J. Fluid Mech. 48(02), 273–337 (1971)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to R. Peter Lindstedt.

Additional information

Submitted for the Special Issue dedicated to S.B. Pope.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Geipel, P., Goh, K.H.H. & Lindstedt, R.P. Fractal-Generated Turbulence in Opposed Jet Flows. Flow Turbulence Combust 85, 397–419 (2010). https://doi.org/10.1007/s10494-010-9288-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10494-010-9288-x

Keywords

Navigation