Simulations of three-dimensional turbulent mixing for schmidt numbers of the order 1000

P. K. Yeung, S. Xu, D. A. Donzis, K. R. Sreenivasan

Research output: Contribution to journalArticle

Abstract

We report basic results from new numerical simulations of passive scalar mixing at Schmidt numbers (Sc) of the order of 1000 in isotropic turbulence. The required high grid-resolution is made possible by simulating turbulence at very low Reynolds numbers, which nevertheless possesses universality in dissipative scales of motion. The results obtained are qualitatively consistent with those based on another study (Yeung et al., Phys. Fluids 14 (2002) 4178-4191) with a less extended Schmidt number range and a higher Reynolds number. In the stationary state maintained by a uniform mean scalar gradient, the scalar variance increases slightly with Sc but scalar dissipation is nearly constant. As the Schmidt number increases, there is an increasing trend towards k -1 scaling predicted by Batchelor (Batchelor, J. Fluid Mech. 5 (1959) 113-133) for the viscous-convective range of the scalar spectrum; the scalar gradient skewness approaches zero; and the intermittency measured by the scalar gradient flatness approaches its asymptotic state. However, the value of Sc needed for the asymptotic behavior to emerge appears to increase with decreasing Reynolds number of the turbulence. In the viscous-diffusive range, the scalar spectrum is in better agreement with Kraichnan's (Kraichnan., Phys. Fluids 11 (1968) 945-953) result than with Batchelor's.

Original languageEnglish (US)
Pages (from-to)333-347
Number of pages15
JournalFlow, Turbulence and Combustion
Volume72
Issue number2-4 SPEC. ISS.
DOIs
StatePublished - 2004

Fingerprint

Schmidt number
turbulent mixing
Reynolds number
Turbulence
scalars
Fluids
simulation
gradients
fluids
turbulence
Computer simulation
isotropic turbulence
skewness
high Reynolds number
intermittency
low Reynolds number
flatness
dissipation
grids
trends

Keywords

  • Mixing
  • Numerical simulation
  • Passive scalars
  • Scaling
  • Schmidt number
  • Turbulence

ASJC Scopus subject areas

  • Fluid Flow and Transfer Processes
  • Physical and Theoretical Chemistry
  • Computational Mechanics
  • Mechanics of Materials

Cite this

Simulations of three-dimensional turbulent mixing for schmidt numbers of the order 1000. / Yeung, P. K.; Xu, S.; Donzis, D. A.; Sreenivasan, K. R.

In: Flow, Turbulence and Combustion, Vol. 72, No. 2-4 SPEC. ISS., 2004, p. 333-347.

Research output: Contribution to journalArticle

Yeung, P. K. ; Xu, S. ; Donzis, D. A. ; Sreenivasan, K. R. / Simulations of three-dimensional turbulent mixing for schmidt numbers of the order 1000. In: Flow, Turbulence and Combustion. 2004 ; Vol. 72, No. 2-4 SPEC. ISS. pp. 333-347.
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