Closure relations for fluxes of flame surface density and scalar dissipation rate in turbulent premixed flames
Artikel i vetenskaplig tidskrift, 2019

In this study, closure relations for total and turbulent convection fluxes of flame surface density and scalar dissipation rate were developed (i) by placing the focus of consideration on the flow velocity conditioned to the instantaneous flame within the mean flame brush and (ii) by considering the limiting behavior of this velocity at the leading and trailing edges of the flame brush. The model was tested against direct numerical simulation (DNS) data obtained from three statistically stationary, one-dimensional, planar, premixed turbulent flames associated with the flamelet regime of turbulent burning. While turbulent fluxes of flame surface density and scalar dissipation rate, obtained in the DNSs, showed the countergradient behavior, the model predicted the total fluxes reasonably well without using any tuning parameter. The model predictions were also compared with results computed using an alternative closure relation for the flame-conditioned velocity.

turbulent flame


scalar dissipation rate

flame surface density

premixed turbulent combustion

direct numerical simulations

countergradient transport


Andrei Lipatnikov

Chalmers, Mekanik och maritima vetenskaper, Förbränning

Shinnosuke Nishiki

Kagoshima University

Tatsuya Hasegawa

Nagoya University


Vol. 4 1-11 43


Hållbar utveckling


Grundläggande vetenskaper


Strömningsmekanik och akustik



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