Turbulent diffusion of chemically reacting flows: Theory and numerical simulations

T. Elperin, N. Kleeorin, M. Liberman, A. N. Lipatnikov, I. Rogachevskii, R. Yu

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

Abstract

The theory of turbulent diffusion of chemically reacting gaseous admixtures developed previously [T. Elperin, Phys. Rev. E 90, 053001 (2014)PLEEE81539-375510.1103/PhysRevE.90.053001] is generalized for large yet finite Reynolds numbers and the dependence of turbulent diffusion coefficient on two parameters, the Reynolds number and Damköhler number (which characterizes a ratio of turbulent and reaction time scales), is obtained. Three-dimensional direct numerical simulations (DNSs) of a finite-thickness reaction wave for the first-order chemical reactions propagating in forced, homogeneous, isotropic, and incompressible turbulence are performed to validate the theoretically predicted effect of chemical reactions on turbulent diffusion. It is shown that the obtained DNS results are in good agreement with the developed theory.

Original languageEnglish
Article number053111
JournalPhysical Review E
Volume96
Issue number5
DOIs
StatePublished - 22 Nov 2017

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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