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Passive scalar characteristics along inertial particle trajectory in turbulent non-isothermal flows

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Abstract

The momentum and heat coupling between carrier fluid and particles are a complex and challenge topic in turbulent reactive gas-solid flow modeling. Most observations on this topic, either numerical or experimental, are based on Eulerian framework, which is not enough for developing the probability density function (PDF) model. In this paper, the instantous behavior and multi-particle statistics of passive scalar along inertial particle trajectory, in homogenous isotropic turbulence with a mean scalar gradient, are investigated by using the direct numerical simulation (DNS). The results show that St∼1.0 particles are easy to aggregate in high strain and low vorticity regions in the fluid field, where the scalar dissipation is usually much higher than the mean value, and that every time they move across the cliff structures, the scalar change is much more intensive. Anyway, the self-correlation of scalar along particle trajectory is significantly different from the velocities observed by particle, for which the prefer-concentration effect is evident. The mechanical-to-thermal time scale ratio averaged along the particles, <r> p , is approximately two times smaller than that computed in the Eulerian frame r, and stays at nearly 1.77 with a weak dependence on particle inertia.

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References

  1. Warhaft Z. Passive scalars in turbulent flows. Ann Rev Fluid Mech, 2000, 32: 203–240

    Article  MathSciNet  Google Scholar 

  2. Yudine M I. Physical considerations on heavy particle diffusion. In: Proc Int Sym Atmospheric Diffusion and Air Pollution. Adv. in Geophys, 1959. 6: 185–191

    MathSciNet  Google Scholar 

  3. Csanady G T. Turbulent Diffusion of Heavy Particles in the Atmosphere. J Atmospheric Sci, 1963, 20: 201–208

    Article  Google Scholar 

  4. Wang L P, Stock D E. Dispersion of Heavy Particles by Turbulent Motion. J Atmospheric Sci, 1993, 50: 1897–1913

    Article  Google Scholar 

  5. Squires K D, Eaton J K. Particle Response and Turbulence Modification in Isotropic Turbulence. Phys Fluids, 1990, 2(7): 1191–1203

    Article  Google Scholar 

  6. Squires K D, Eaton J K. Preferential Concentration of Particles by Turbulence. Phys Fluids, 1991, 3: 1169–1178

    Article  Google Scholar 

  7. Sato Y, Deutsch E, Simonin O. Direct numerical simulations of heat transfer by solid particles suspended in homogeneous isotropic turbulence. Int J Heat Fluid Flow, 1998, 19(2): 187–192

    Article  Google Scholar 

  8. Jaberi F A. Temperature fluctuations in particle-laden homogeneous turbulent flows. Int J Heat Mass Transfer, 1998, 41(24): 4081–4093

    Article  MATH  Google Scholar 

  9. Jaberi F A, Mashayek F. Temperature decays in two-phase turbulent flows. Int J Heat Mass Transfer, 2000, 43(6): 993–1005

    Article  MATH  Google Scholar 

  10. Pope S B. Computations of turbulent combustion: Progress and challenges. In: Proc Twenty-Third Symposium on Combustion. Pittsburgh: The Combustion Institute, 1990. 591–612

    Google Scholar 

  11. Pope S B. PDF methods for turbulent reactive flows. Prog Energy Combust Sci, 1985, 11: 119–192

    Article  MathSciNet  Google Scholar 

  12. Zaichik L I. A statistical model of particle transport and heat transfer in turbulent shear flows. Phys Fluids, 1999, 11: 1521–1534

    Article  MATH  Google Scholar 

  13. Pandya R V, Mashayek F. Non-isothermal dispersed phase of particles in turbulent flows. J Fluid Mech, 2003, 475: 205–245

    Article  MATH  Google Scholar 

  14. Simonin O. Combustion and turbulence in two-phase flows. In Lecture Series 1996–02. Von Karman Institute for Fluid Dynamics, 1996

  15. Moissette S, Oesterlé B, Boulet P. Temperature fluctuations of discrete particles in homogeneous turbulent flow: A langrangian model. Int J Heat Mass Transfer, 2001, 22: 220–226

    Google Scholar 

  16. He Z, Liu Z H, Chen S, et al. Effect of Particle Inertia on Temperature Statistics in Particle-Laden Homogeneous Isotropic Turbulence. Sic China Ser E-Tech Sci, 2006, 49(2): 210–221

    Article  Google Scholar 

  17. Yeung P K. Lagrangian characteristics of turbulence and scalar transport in direct numerical simulations. J Fluid Mech, 2001, 427: 241–274

    Article  MATH  Google Scholar 

  18. Holzer M, Siggia E D. Turbulent mixing of a passive scalar. Phys Fluids, 1994, 6: 1820–1837

    Article  MathSciNet  MATH  Google Scholar 

  19. Pumir A. A numerical study of the mixing of a passive scalar in three dimensions in the presence of a mean gradient. Phys Fluids, 1994, 6: 2118–2132

    Article  MathSciNet  MATH  Google Scholar 

  20. Eswaran V, Pope S B. Direct numerical simulations of the turbulent mixing of a passive scalar. Phys Fluids, 1988, 31: 506–521

    Article  Google Scholar 

  21. Balachander S, Maxey M R. Methods for evaluating fluid velocities in spectral simulations of turbulence. J Comput Phys, 1989, 83(1): 96–125

    Article  Google Scholar 

  22. Sirivat A, Warhaft Z. The effect of a passive cross-stream temperature gradient on the evolution of temperature variance and heat flux in grid turbulence. J Fluid Mech, 1983, 128: 323–346

    Article  Google Scholar 

  23. Warhaft Z, Lumley J L. An experimental study of the decay of temperature fluctuations in grid-generated turbulence. J Fluid Mech, 1978, 88: 659–684

    Article  Google Scholar 

  24. Overholt M R, Pope S B. Direct numerical simulation of a passive scalar with imposed mean gradient in isotropic turbulence. Phys Fluids, 1996, 8: 3128–3148

    Article  MATH  Google Scholar 

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Correspondence to ZhaoHui Liu.

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Yi, C., Liu, Y., He, Z. et al. Passive scalar characteristics along inertial particle trajectory in turbulent non-isothermal flows. Sci. China Technol. Sci. 55, 2593–2600 (2012). https://doi.org/10.1007/s11431-012-4981-8

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  • DOI: https://doi.org/10.1007/s11431-012-4981-8

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