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**Harvard**

Lipatnikov, A., Nishiki, S. och Hasegawa, T. (2015) *DNS assessment of relation between mean reaction and scalar dissipation rates in the flamelet regime of premixed turbulent combustion*.

** BibTeX **

@article{

Lipatnikov2015,

author={Lipatnikov, Andrei and Nishiki, Shinnosuke and Hasegawa, Tatsuya},

title={DNS assessment of relation between mean reaction and scalar dissipation rates in the flamelet regime of premixed turbulent combustion},

journal={Combustion theory and modelling},

issn={1364-7830},

volume={19},

issue={3},

pages={309-328},

abstract={The linear relation between the mean rate of product creation and the mean scalar dissipation rate, derived in the seminal paper by K.N.C. Bray [‘The interaction between
turbulence and combustion’, Proceedings of the Combustion Institute, Vol. 17 (1979), pp. 223–233], is the cornerstone for models of premixed turbulent combustion that deal
with the dissipation rate in order to close the reaction rate. In the present work, this linear relation is straightforwardly validated by analysing data computed earlier in the 3D Direct Numerical Simulation (DNS) of three statistically stationary, 1D, planar turbulent flames associated with the flamelet regime of premixed combustion. Although the linear relation does not hold at the leading and trailing edges of the mean flame brush, such a result is expected within the framework of Bray’s theory. However, the present DNS yields substantially larger (smaller) values of an input parameter cm (or K2=1/(2cm − 1)), involved by the studied linear relation, when compared to the commonly used value of cm=0.7 (or K2=2.5). To gain further insight into the issue and into the eventual dependence of cm on mixture composition, the DNS data are combined with the results of numerical simulations of stationary, 1D, planar laminar methane–air flames with complex chemistry, with the results being reported in terms of differently defined combustion progress variables c, i.e. the normalised temperature, density, or mole fraction of CH4, O2, CO2 or H2O. Such a study indicates the dependence of cm both on the definition of c and on the equivalence ratio. Nevertheless, K2 and cm can be estimated by processing the results of simulations of counterpart laminar premixed flames. Similar conclusions were also drawn by skipping the DNS data, but invoking a presumed beta probability density function in order to evaluate cm for the differently defined c’s and various equivalence ratios.},

year={2015},

}

** RefWorks **

RT Journal Article

SR Electronic

ID 217777

A1 Lipatnikov, Andrei

A1 Nishiki, Shinnosuke

A1 Hasegawa, Tatsuya

T1 DNS assessment of relation between mean reaction and scalar dissipation rates in the flamelet regime of premixed turbulent combustion

YR 2015

JF Combustion theory and modelling

SN 1364-7830

VO 19

IS 3

SP 309

OP 328

AB The linear relation between the mean rate of product creation and the mean scalar dissipation rate, derived in the seminal paper by K.N.C. Bray [‘The interaction between
turbulence and combustion’, Proceedings of the Combustion Institute, Vol. 17 (1979), pp. 223–233], is the cornerstone for models of premixed turbulent combustion that deal
with the dissipation rate in order to close the reaction rate. In the present work, this linear relation is straightforwardly validated by analysing data computed earlier in the 3D Direct Numerical Simulation (DNS) of three statistically stationary, 1D, planar turbulent flames associated with the flamelet regime of premixed combustion. Although the linear relation does not hold at the leading and trailing edges of the mean flame brush, such a result is expected within the framework of Bray’s theory. However, the present DNS yields substantially larger (smaller) values of an input parameter cm (or K2=1/(2cm − 1)), involved by the studied linear relation, when compared to the commonly used value of cm=0.7 (or K2=2.5). To gain further insight into the issue and into the eventual dependence of cm on mixture composition, the DNS data are combined with the results of numerical simulations of stationary, 1D, planar laminar methane–air flames with complex chemistry, with the results being reported in terms of differently defined combustion progress variables c, i.e. the normalised temperature, density, or mole fraction of CH4, O2, CO2 or H2O. Such a study indicates the dependence of cm both on the definition of c and on the equivalence ratio. Nevertheless, K2 and cm can be estimated by processing the results of simulations of counterpart laminar premixed flames. Similar conclusions were also drawn by skipping the DNS data, but invoking a presumed beta probability density function in order to evaluate cm for the differently defined c’s and various equivalence ratios.

LA eng

DO 10.1080/13647830.2015.1021837

LK http://dx.doi.org/10.1080/13647830.2015.1021837

OL 30