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    Gauding, Michael Wick, Achim Pitsch, Heinz and Peters, Norbert 2014. Generalised scale-by-scale energy-budget equations and large-eddy simulations of anisotropic scalar turbulence at various Schmidt numbers. Journal of Turbulence, Vol. 15, Issue. 12, p. 857.

    Iyer, K. P. and Yeung, P. K. 2014. Structure functions and applicability of Yaglom's relation in passive-scalar turbulent mixing at low Schmidt numbers with uniform mean gradient. Physics of Fluids, Vol. 26, Issue. 8, p. 085107.

    Gotoh, Toshiyuki Watanabe, Takeshi and Suzuki, Yuki 2011. Universality and anisotropy in passive scalar fluctuations in turbulence with uniform mean gradient. Journal of Turbulence, Vol. 12, p. N48.

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    Stewart, Edward J. and Huq, Pablo 2006. Dissipation rate correction methods. Experiments in Fluids, Vol. 40, Issue. 3, p. 405.

    Antonia, RA and Orlandi, P 2003. Effect of Schmidt number on small-scale passive scalar turbulence. Applied Mechanics Reviews, Vol. 56, Issue. 6, p. 615.

    Antonia, R. A. and Orlandi, P. 2003. On the Batchelor constant in decaying isotropic turbulence. Physics of Fluids, Vol. 15, Issue. 7, p. 2084.

    Yeung, P. K. Xu, Shuyi and Sreenivasan, K. R. 2002. Schmidt number effects on turbulent transport with uniform mean scalar gradient. Physics of Fluids, Vol. 14, Issue. 12, p. 4178.

  • Journal of Fluid Mechanics, Volume 451
  • January 2002, pp. 99-108

Dependence of the non-stationary form of Yaglom’s equation on the Schmidt number

  • P. ORLANDI (a1) and R. A. ANTONIA (a2)
  • DOI:
  • Published online: 01 January 2002

The dynamic equation for the second-order moment of a passive scalar increment is investigated in the context of DNS data for decaying isotropic turbulence at several values of the Schmidt number Sc, between 0.07 and 7. When the terms of the equation are normalized using Kolmogorov and Batchelor scales, approximate independence from Sc is achieved at sufficiently small rB (r is the separation across which the increment is estimated and ηB is the Batchelor length scale). The results imply approximate independence of the mixed velocity-scalar derivative skewness from Sc and underline the importance of the non-stationarity. At small rB, the contribution from the non-stationarity increases as Sc increases.

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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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