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This study has two main objectives: (1) to examine the availability of a filtering scheme developed by Mi et al (2005, Phys. Rev. E 71, 066304) on the measured velocity signal and (2) to investigate the centerline characteristic scales of a plane jet with the exit Reynolds number of Re = 13188. The success of the filtering scheme has been well validated. It is found that the existence of the high-frequency noise impairs not only the small-scale properties of turbulence but also those associated with large-scale turbulence. After filtering the noise, while the dissipation rate of turbulence kinetic energy is correctly obtained, the characteristic scales of turbulent flow (i.e. the Kolmogorov and Taylor turbulence micro-scales and the integral scale) are appropriately estimated. The results reveal that the centerline characteristic scales of the plane jet exhibit a linear dependence on the downstream distance (x) at x ≤ 20 h, where h is the height of the nozzle. It is interesting to note that the statistical properties of small-scale turbulence appear to enter their self-preserving state earlier than those of large-scale turbulence in the jet. To our knowledge, this finding has not been reported in the literature.
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Keywords:
- signal filtering /
- plane jet /
- turbulence scales
[1] Mi J, Deo R C, Nathan G J 2005 Phys. Rev. E 71 066304
[2] Mi J, Nobes D S, Nathan G J 2001 J. Fluid Mech. 38 577
[3] Deo R C, Mi J, Nathan G J 2006 Exp. Therm. Fluid 31 825
[4] Deo R C, Mi J, Nathan G J 2007 Exp. Therm. Fluid 32 545
[5] Deo R C, Mi J, Nathan G J 2007 Exp. Therm. Fluid 32 596
[6] Mi J, Deo R C, Nathan G J 2005 Phys. Fluids 17 068102
[7] Deo R C, Mi J, Nathan G J 2008 Phys. Fluids 20 075108
[8] Ma D Y 1978 Acta Phys. Sin. 27 121 (in Chinese) [马大猷 1978 27 121]
[9] Hang X G, Xu J, X He D H 1999 Acta Phys. Sin. 48 1810 (in Chinese) [黄显高、徐健学、何岱海 1999 48 1810]
[10] Xiao F H, Yan G R, Han Y H 2004 Acta Phys. Sin. 53 396 (in Chinese) [肖方红、闫桂荣、韩雨航 2004 53 396]
[11] Antonia R A, Satyaprakash B R, Hussain A K M F 1980 Phys. Fluids 23 695
[12] Mi J, Nathan G J 2003 Expts. Fluids 34 687
[13] Hinze J O 1975 Turbulence (New York: McGraw-Hill Book) p218
[14] Mi J C, Feng B P, Deo R C, Nathan G J 2009 Acta Phys. Sin. 58 7756 (in Chinese) [米建春、冯宝平 Deo R C、Nathan G J 2009 58 7756 ]
[15] Kolmogorov N, Dokl A 1941 Nauk SSSR 30 301
[16] Champagne F H 1978 J. Fluid Mech. 86 67
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[1] Mi J, Deo R C, Nathan G J 2005 Phys. Rev. E 71 066304
[2] Mi J, Nobes D S, Nathan G J 2001 J. Fluid Mech. 38 577
[3] Deo R C, Mi J, Nathan G J 2006 Exp. Therm. Fluid 31 825
[4] Deo R C, Mi J, Nathan G J 2007 Exp. Therm. Fluid 32 545
[5] Deo R C, Mi J, Nathan G J 2007 Exp. Therm. Fluid 32 596
[6] Mi J, Deo R C, Nathan G J 2005 Phys. Fluids 17 068102
[7] Deo R C, Mi J, Nathan G J 2008 Phys. Fluids 20 075108
[8] Ma D Y 1978 Acta Phys. Sin. 27 121 (in Chinese) [马大猷 1978 27 121]
[9] Hang X G, Xu J, X He D H 1999 Acta Phys. Sin. 48 1810 (in Chinese) [黄显高、徐健学、何岱海 1999 48 1810]
[10] Xiao F H, Yan G R, Han Y H 2004 Acta Phys. Sin. 53 396 (in Chinese) [肖方红、闫桂荣、韩雨航 2004 53 396]
[11] Antonia R A, Satyaprakash B R, Hussain A K M F 1980 Phys. Fluids 23 695
[12] Mi J, Nathan G J 2003 Expts. Fluids 34 687
[13] Hinze J O 1975 Turbulence (New York: McGraw-Hill Book) p218
[14] Mi J C, Feng B P, Deo R C, Nathan G J 2009 Acta Phys. Sin. 58 7756 (in Chinese) [米建春、冯宝平 Deo R C、Nathan G J 2009 58 7756 ]
[15] Kolmogorov N, Dokl A 1941 Nauk SSSR 30 301
[16] Champagne F H 1978 J. Fluid Mech. 86 67
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