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PDF of Temperature Fluctuations in Uniformly Sheared Turbulence

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Part of the book series: Fluid Mechanics and Its Applications ((FMIA,volume 70))

Abstract

Statistics of temperature fluctuations were measured in uniformly sheared turbulence with a uniform mean temperature gradient. The scalar pdf was Gaussian and the scalar-velocity joint pdf was jointly Gaussian, with the conditional expectations of the velocity fluctuations linearly dependent on the scalar value. The scalar dissipation rate was statistically independent from the scalar value. A Gaussian scalar pdf was also predicted analytically.

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References

  • Anselmet, F., Djeridi, H. and Fulachier, L. (1994). Joint statistics between a passive scalar and its dissipation in turbulent flows. J. Fluid Mech. 280, 173.

    Article  ADS  Google Scholar 

  • Eswaran, V. and Pope, S.B. (1988). Direct numerical simulations of the turbulent mixing of a passive scalar. Phys. Fluids 31, 506.

    Google Scholar 

  • Ferchichi, M. (2000). Measurements of Small-Scale Statistics and Probability Density Functions in Passively Heated Shear Flow. Ph.D. Dissertation, Department of Mechanical Engineering, University of Ottawa, Ottawa, Canada.

    Google Scholar 

  • Ferchichi, M. and Tavoularis S. (2001). Scalar pdf and fine structure in uniformly sheared turbulence. J. Fluid Mech. (submitted).

    Google Scholar 

  • Gollub, J.P., Clarke, J., Gharib, M., Lane, B. and Mesquita, O.N. (1991). Fluctuations and transport in a stirred fluid with a mean gradient. Phys. Rev. Lett. 67, 3507.

    Google Scholar 

  • Jayesh and Warhaft, Z. (1992). Probability distribution, conditional dissipation, and transport of passive temperature fluctuations in grid-generated turbulence. Phys. Fluids A 4, 2292.

    Google Scholar 

  • Kailasnath, P., Sreenivasan, K.R. and Saylor, J.R. (1993). Conditional scalar dissipation rates in turbulent wakes, jets, and boundary layers. Phys. Fluids A 5, 3207.

    Google Scholar 

  • MI, J., Antonia R.A. and Anselmet, F. (1995). Joint statistics between temperature and its dissipation rate components in a round jet. Phys. Fluids 7, 1665.

    Google Scholar 

  • Mydlarski, L. and Warhaft, Z. (1998). Passive scalar statistics in highPéclet-number grid turbulence. J. Fluid Mech. 358, 135.

    Article  ADS  Google Scholar 

  • Overholt, M.R. and Pope, S.B. (1996). Direct numerical simulation of a passive scalar with imposed mean gradient in isotropic turbulence. Phys. Fluids 8, 3128.

    Google Scholar 

  • Tavoularis, S. and Corrsin, S. (1981). Experiments in nearly homogenous turbulent shear flow with a uniform mean temperature gradient. J. Fluid Mech. 104, 311.

    Article  ADS  Google Scholar 

  • Thoroddsen, S.T. and Van Atta, C.W. (1992). Exponential tails and skewness of density-gradient probability density functions in stably stratified turbulence. J. Fluid Mech. 244, 547.

    Article  ADS  Google Scholar 

  • Tong, C. and Warhaft, Z. (1995). Passive scalar dispersion and mixing in a turbulent jet. J. Fluid Mech. 292, 1.

    Article  ADS  Google Scholar 

  • Warhaft, Z. (2000). Passive scalars in turbulent flows. Ann. Rev. Fluid Mech. 32, 203.

    Google Scholar 

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© 2002 Springer Science+Business Media Dordrecht

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Ferchichi, M., Tavoularis, S. (2002). PDF of Temperature Fluctuations in Uniformly Sheared Turbulence. In: Pollard, A., Candel, S. (eds) IUTAM Symposium on Turbulent Mixing and Combustion. Fluid Mechanics and Its Applications, vol 70. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1998-8_16

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  • DOI: https://doi.org/10.1007/978-94-017-1998-8_16

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-6074-7

  • Online ISBN: 978-94-017-1998-8

  • eBook Packages: Springer Book Archive

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