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**Harvard**

Sabelnikov, V. och Lipatnikov, A. (2015) *Transition from pulled to pushed fronts in premixed turbulent combustion: theoretical and numerical study*.

** BibTeX **

@article{

Sabelnikov2015,

author={Sabelnikov, Vladimir and Lipatnikov, Andrei},

title={Transition from pulled to pushed fronts in premixed turbulent combustion: theoretical and numerical study},

journal={Combustion and Flame},

issn={0010-2180},

volume={162},

issue={7},

pages={2893-2903},

abstract={This paper extends a previous theoretical study (Sabelnikov and Lipatnikov, 2013) of the influence of
countergradient transport (CGT) on the speed of a statistically stationary, planar, 1D premixed flame that
passively propagates in homogenous turbulence in the form of a traveling wave, i.e. retains its mean
thickness and structure. While two particular models of the mean rate of product creation were
addressed in the previous article, with the shape of the rate as a function of the Favre-averaged combustion
progress variable being concave in both cases, the present paper deals with a more general model
that subsumes both concave functions and functions with an inflection point, i.e. a point where the function
changes from being concave to convex or vice versa. In this more general case, transition from pulled
(flame speed is controlled by processes localized to the flame leading edge) to pushed (flame speed is
controlled by processes within the entire flame brush) flames can occur both due to interplay of the nonlinear
reaction term and a nonlinear convection term associated with CGT and due to the change of the
shape of the reaction term in the absence of CGT. Explicit pushed traveling wave solutions to the studied
problem are theoretically derived and conditions under that developing flames approach either pushed or
pulled traveling wave solution are obtained by analyzing the governing equations at the flame leading
edge and invoking the steepness selection criterion which highlights traveling wave with the steepest
profile at the leading edge. Other analytical results include conditions for transition from pulled to
pushed premixed turbulent flames, dependence of flame speed on the magnitude of the CGT term and
the shape of the mean reaction rate, analytical expressions for the mean thickness of the pushed flames
and turbulent scalar flux within the pushed flames. All these theoretical findings are validated by results
of unsteady numerical simulations of the initial boundary value problem with steep initial wave profiles.},

year={2015},

}

** RefWorks **

RT Journal Article

SR Electronic

ID 217710

A1 Sabelnikov, Vladimir

A1 Lipatnikov, Andrei

T1 Transition from pulled to pushed fronts in premixed turbulent combustion: theoretical and numerical study

YR 2015

JF Combustion and Flame

SN 0010-2180

VO 162

IS 7

SP 2893

OP 2903

AB This paper extends a previous theoretical study (Sabelnikov and Lipatnikov, 2013) of the influence of
countergradient transport (CGT) on the speed of a statistically stationary, planar, 1D premixed flame that
passively propagates in homogenous turbulence in the form of a traveling wave, i.e. retains its mean
thickness and structure. While two particular models of the mean rate of product creation were
addressed in the previous article, with the shape of the rate as a function of the Favre-averaged combustion
progress variable being concave in both cases, the present paper deals with a more general model
that subsumes both concave functions and functions with an inflection point, i.e. a point where the function
changes from being concave to convex or vice versa. In this more general case, transition from pulled
(flame speed is controlled by processes localized to the flame leading edge) to pushed (flame speed is
controlled by processes within the entire flame brush) flames can occur both due to interplay of the nonlinear
reaction term and a nonlinear convection term associated with CGT and due to the change of the
shape of the reaction term in the absence of CGT. Explicit pushed traveling wave solutions to the studied
problem are theoretically derived and conditions under that developing flames approach either pushed or
pulled traveling wave solution are obtained by analyzing the governing equations at the flame leading
edge and invoking the steepness selection criterion which highlights traveling wave with the steepest
profile at the leading edge. Other analytical results include conditions for transition from pulled to
pushed premixed turbulent flames, dependence of flame speed on the magnitude of the CGT term and
the shape of the mean reaction rate, analytical expressions for the mean thickness of the pushed flames
and turbulent scalar flux within the pushed flames. All these theoretical findings are validated by results
of unsteady numerical simulations of the initial boundary value problem with steep initial wave profiles.

LA eng

DO 10.1016/j.combustflame.2015.03.016

LK http://dx.doi.org/10.1016/j.combustflame.2015.03.016

OL 30