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Turbulent Cascades II pp 145–156Cite as

Self-similarity in Slightly Heated Annular Jet with Large Diameter Ratios

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Part of the book series: ERCOFTAC Series ((ERCO,volume 26))

Abstract

The study aims at furthering our understanding and quantifying the influence of coherent structures on small-scale turbulence and passive scalar mixing, in an annular jet configuration with large diameter ratios. This ’bluff-body’ geometry is close to that widely used in combustion for flame stabilization [1]. A passive contaminant is introduced in the flow, through a slight heating. We report the evolution along the jet axis of the following quantities: mean values of the longitudinal velocity and passive scalar (\(\bar{U}\) and \(\bar{\varTheta }\)), as well as the energy and scalar dissipation rates (\(\bar{\varepsilon }\) and \(\bar{\chi }\)). It is shown that these statistics:

  • decay as \(x^{-1}\) and \(x^{-4}\), where x is the streamwise direction, similarly to the decay in the far-field of classical jets (CJ);

  • unlike the CJ, they reach self-similarity faster, a behaviour that may be attributed to the presence of coherent structures.

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References

  1. Schefer, R.W., Namazian, M., Kelly, J., Perrin, M.: Effect of confinement on bluff-body burner recirculation zone characteristics and flame stability. Combust. Sci. Technol. 120(1–6), 185–211 (1996)

    Article  Google Scholar 

  2. Brendel, M.: CFD analysis of laboratory exhaust fans and applications. In: Ashrae Winter Annual Meeting, Atlantic City, NJ (2002)

    Google Scholar 

  3. Ko, N.W.M., Chan, W.T.: Similarity in the initial region of annular jets: three configurations. J. Fluid Mech. 84, 641–656, 2 (1978)

    Article  Google Scholar 

  4. Warda, H.A., Kassab, S.Z., Elshorbagy, K.A., Elsaadawy, E.A.: An experimental investigation of the near-field region of a free turbulent coaxial jet using LDA. Flow Measurement and Instrumentation 10(1), 15–26 (1999)

    Article  Google Scholar 

  5. George, W.K.: The decay of homogeneous isotropic turbulence. Phys. Fluids A Fluid Dyn. (1989–1993) 4(7), 1492–1509 (1992)

    Article  MathSciNet  Google Scholar 

  6. George, W.K., Arndt, R.: Advances in Turbulence. Hemisphere Publishing Corporation (1989)

    Google Scholar 

  7. Antonia, R.A., Zhou, T., Danaila, L., Anselmet, F.: Streamwise inhomogeneity of decaying grid turbulence. Phys. Fluids 12(11), 3086–3089 (2000)

    Article  Google Scholar 

  8. Danlos, A.: Dynamique des jets contrôlés: Application à l’ étude du mélange dans des écoulements de jets annulaires à très grand rapport de diamètres. Ph.D. thesis, Université de Rouen (2009)

    Google Scholar 

  9. Aly, M.S., Rashed, M.I.I.: Experimental investigation of an annular jet. J. Wind Eng. Ind. Aerodyn. 37(2), 155–166 (1991)

    Article  Google Scholar 

  10. Antonia, R.A., Mi, J.: Temperature dissipation in a turbulent round jet. J. Fluid Mech. 250, 531–551 (1993)

    Article  Google Scholar 

  11. Lemay, J., Benaïssa, A.: Improvement of cold-wire response for measurement of temperature dissipation. Exp. Fluids 31(3), 347–356 (2001)

    Article  Google Scholar 

  12. Bruun, H.H.: Hot-Wire Anemometry. Oxford Science (1995)

    Google Scholar 

  13. Burattini, P., Antonia, R.A.: The effect of different x-wire calibration schemes on some turbulence statistics. Exp. Fluids 38(1), 80–89 (2005)

    Article  Google Scholar 

  14. Browne, L.W.B., Antonia, R.A.: The effect of wire length on temperature statistics in a turbulent wake. Exp. Fluids 5(6), 426–428 (1987)

    Article  Google Scholar 

  15. Paranthoën, P., Lecordier, J.C.: Mesures de temperature dans les écoulements turbulents. Revue Generale de Thermique 35(413), 283–308 (1996)

    Google Scholar 

  16. Vukoslavčević, P.V., Wallace, J.M.: The simultaneous measurement of velocity and temperature in heated turbulent air flow using thermal anemometry. Meas. Sci. Technol. 13(10), 1615 (2002)

    Article  Google Scholar 

  17. Danaila, L., Anselmet, F., Zhou, T., Antonia, R.A.: A generalization of yaglom’s equation which accounts for the large-scale forcing in heated decaying turbulence. J. Fluid Mech. 391, 359–372 (1999)

    Article  MathSciNet  Google Scholar 

  18. Papailiou, D.D., Lykoudis, P.S.: Turbulent vortex streets and the entrainment mechanism of the turbulent wake. J. Fluid Mech. 62(1), 11–31 (1974)

    Article  Google Scholar 

  19. Antonia, R.A., Zhou, T., Romano, G.P.: Small-scale turbulence characteristics of two-dimensional bluff body wakes. J. Fluid Mech. 459, 67–92 (2002)

    Article  MathSciNet  Google Scholar 

  20. Wygnanski, I., Fiedler, H.: Some measurements in the self-preserving jet. J. Fluid Mech. 38, 577–612, 9 (1969)

    Article  Google Scholar 

  21. Chua, L.P., Antonia, R.A.: The turbulent interaction region of a circular jet. Int. Commun. Heat Mass Transf. 13(5), 545–558 (1986)

    Article  Google Scholar 

  22. Pitts, W.M.: Effects of global density ratio on the centerline mixing behavior of axisymmetric turbulent jets. Exp. Fluids 11(2–3), 125–134 (1991)

    Article  Google Scholar 

  23. Burattini, P., Antonia, R.A., Danaila, L.: Similarity in the far field of a turbulent round jet. Phys. Fluids 17(2), 025101 (2005)

    Article  Google Scholar 

  24. Abdel-Rahman, A.A., Chakroun, W., Al-Fahed, S.F.: LDA measurements in the turbulent round jet. Mech. Res. Commun. 24(3), 277–288 (1997)

    Article  Google Scholar 

  25. Hussein, H.J., Capp, S.P., George, W.K.: Velocity measurements in a high-reynolds-number, momentum-conserving, axisymmetric, turbulent jet. J. Fluid Mech. 258, 31–75 (1994)

    Article  Google Scholar 

  26. George, W.K., Hussein, H.J.: Locally axisymmetric turbulence. J. Fluid Mech. 233, 1–23 (1991)

    Article  Google Scholar 

  27. Friehe, C.A., Van Atta, C.W., Gibson, C.H.: Jet turbulence: Dissipation rate measurements and correlations. In: AGARD-Conference Proceeding on Turbulent Shear Flows, London, U.K, vol. 93, 13–15 September 1971

    Google Scholar 

  28. Antonia, R.A., Satyaprakash, B.R., Hussain, A.K.M.F.: Measurements of dissipation rate and some other characteristics of turbulent plane and circular jets. Phys. Fluids 23(4), 695–700 (1980)

    Article  Google Scholar 

  29. Lemay, J., Benaïssa, A., Darisse, A.: Budgets of turbulent kinetic energy and scalar variance in the self-similar region of a round jet. In: The European Turbulence Conference, vol. 14, September 2013

    Google Scholar 

  30. Thiesset, F., Antonia, R.A., Djenidi, L.: Consequences of self-preservation on the axis of a turbulent round jet. J. Fluid Mech. 748, 6 (2014)

    Article  Google Scholar 

  31. Bradshaw, P., Ferriss, D.H., Johnson, R.F.: Turbulence in the noise-producing region of a circular jet. J. Fluid Mech. 19, 591–624 (1964)

    Article  Google Scholar 

  32. Chevray, R., Tutu, N.K.: Intermittency and preferential transport of heat in a round jet. J. Fluid Mech. 88, 133–160, 9 (1978)

    Article  Google Scholar 

  33. Darisse, A., Lemay, J., Benassa, A.: Budgets of turbulent kinetic energy, reynolds stresses, variance of temperature fluctuations and turbulent heat fluxes in a round jet. J. Fluid Mech. 774, 95–142, 7 (2015)

    Article  Google Scholar 

  34. Thiesset, F., Danaila, R.A., Antonia, L., Zhou, T.: Scale-by-scale energy budgets which account for the coherent motion. J. Phys. Conf. Ser. 318(5), 052040 (2011)

    Article  Google Scholar 

  35. Thiesset, F., Danaila, L., Antonia, R.A.: Dynamical effect of the total strain induced by the coherent motion on local isotropy in a wake. J. Fluid Mech. 720, 393–423, 4 (2013)

    Article  Google Scholar 

  36. Thiesset, F., Danaila, L., Antonia, R.A.: Dynamical interactions between the coherent motion and small scales in a cylinder wake. J. Fluid Mech. 749, 201–226, 6 (2014)

    Article  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. CNRS UMR 6614 – CORIA, Normandie Université, Rouen, France

    A. Bouha, E. Varea, B. Patte-Rouland & L. Danaila

Authors
  1. A. Bouha
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  2. E. Varea
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  3. B. Patte-Rouland
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  4. L. Danaila
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Corresponding author

Correspondence to L. Danaila .

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Editors and Affiliations

  1. Laboratoire de Mécanique des Fluides et d’Acoustique CNRS, Université de Lyon, École centrale de Lyon, Écully, France

    Mikhael Gorokhovski

  2. Laboratoire de Mécanique des Fluides et d’Acoustique CNRS, Université de Lyon, École centrale de Lyon, Écully, France

    Fabien S. Godeferd

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Bouha, A., Varea, E., Patte-Rouland, B., Danaila, L. (2019). Self-similarity in Slightly Heated Annular Jet with Large Diameter Ratios. In: Gorokhovski, M., Godeferd, F. (eds) Turbulent Cascades II. ERCOFTAC Series, vol 26. Springer, Cham. https://doi.org/10.1007/978-3-030-12547-9_16

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  • DOI: https://doi.org/10.1007/978-3-030-12547-9_16

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-12546-2

  • Online ISBN: 978-3-030-12547-9

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