Turbulent diffusion of chemically reacting flows: Theory and numerical simulations

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

doi:10.1103/PhysRevE.96.053111

Turbulent diffusion of chemically reacting flows: Theory and numerical simulations

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

Department of Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

19 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 language	English
Article number	053111
Journal	Physical Review E
Volume	96
Issue number	5
DOIs	https://doi.org/10.1103/PhysRevE.96.053111
State	Published - 22 Nov 2017

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Condensed Matter Physics

Access to Document

10.1103/PhysRevE.96.053111

Cite this

@article{2ceb8e03fce3431380559f0a5ac2ba78,

title = "Turbulent diffusion of chemically reacting flows: Theory and numerical simulations",

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 Damk{\"o}hler 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.",

author = "T. Elperin and N. Kleeorin and M. Liberman and Lipatnikov, {A. N.} and I. Rogachevskii and R. Yu",

note = "Funding Information: This research was supported in part by the Israel Science Foundation governed by the Israeli Academy of Sciences (Grant No. 1210/15) (T.E., N.K., and I.R.), the Research Council of Norway under the FRINATEK (Grant No. 231444) (N.K., M.L., and I.R.), the Swedish Research Council (R.Y.), the Chalmers Combustion Engine Research Center and Chalmers Transport and Energy Areas of Advance (A.N.L.), State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology (Grant No. KFJJ17-08M) (M.L.). This research was initiated during Nordita Program Physics of Turbulent Combustion, Stockholm. The computations were performed on resources provided by the Swedish National Infrastructure for Computing at Beskow-PDC Center. Publisher Copyright: {\textcopyright} 2017 American Physical Society.",

year = "2017",

month = nov,

day = "22",

doi = "10.1103/PhysRevE.96.053111",

language = "English",

volume = "96",

journal = "Physical Review E",

issn = "2470-0045",

publisher = "American Physical Society",

number = "5",

}

TY - JOUR

T1 - Turbulent diffusion of chemically reacting flows

T2 - Theory and numerical simulations

AU - Elperin, T.

AU - Kleeorin, N.

AU - Liberman, M.

AU - Lipatnikov, A. N.

AU - Rogachevskii, I.

AU - Yu, R.

N1 - Funding Information: This research was supported in part by the Israel Science Foundation governed by the Israeli Academy of Sciences (Grant No. 1210/15) (T.E., N.K., and I.R.), the Research Council of Norway under the FRINATEK (Grant No. 231444) (N.K., M.L., and I.R.), the Swedish Research Council (R.Y.), the Chalmers Combustion Engine Research Center and Chalmers Transport and Energy Areas of Advance (A.N.L.), State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology (Grant No. KFJJ17-08M) (M.L.). This research was initiated during Nordita Program Physics of Turbulent Combustion, Stockholm. The computations were performed on resources provided by the Swedish National Infrastructure for Computing at Beskow-PDC Center. Publisher Copyright: © 2017 American Physical Society.

PY - 2017/11/22

Y1 - 2017/11/22

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85037078584&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.96.053111

DO - 10.1103/PhysRevE.96.053111

M3 - Article

AN - SCOPUS:85037078584

SN - 2470-0045

VL - 96

JO - Physical Review E

JF - Physical Review E

IS - 5

M1 - 053111

ER -

Turbulent diffusion of chemically reacting flows: Theory and numerical simulations

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this