2009
DOI: 10.1260/175682709788083362
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Testing Premixed Turbulent Combustion Models by Studying Flame Dynamics

Abstract: First, the following universal feature of premixed turbulent flame dynamics is highlighted: During an early stage of flame development, the burning velocity grows much faster than the mean flame brush thickness, because the two processes are controlled by the small-scale and large-scale turbulent eddies, respectively. Second, this feature of developing flames is exploited in order to test a number of different models of premixed turbulent combustion by theoretically and numerically studying an interaction of a… Show more

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Cited by 14 publications
(5 citation statements)
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References 52 publications
(113 reference statements)
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“…Criterion for transition from pulled to pushed flames, see Eq. (57). The transition can occur not only due to interplay of the nonlinear reaction term and a nonlinear convection term associated with CGT (an increase in N B promotes the transition to the pushed flames), but also due to the change of the shape of the reaction term even in the absence of CGT, i.e.…”
Section: Discussionmentioning
confidence: 99%
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“…Criterion for transition from pulled to pushed flames, see Eq. (57). The transition can occur not only due to interplay of the nonlinear reaction term and a nonlinear convection term associated with CGT (an increase in N B promotes the transition to the pushed flames), but also due to the change of the shape of the reaction term even in the absence of CGT, i.e.…”
Section: Discussionmentioning
confidence: 99%
“…see Table 1 in Ref. [57]. For the goals of the present work, a particular expression for s f is not required, provided that this time scale is independent of t, x, orc (this assumption is required in order to derive exact analytical solutions in Section 4, whereas conclusion regarding transition from pulled to pushed TW solutions at a sufficiently large U B P 0, which will be drawn later, holds even if the time scale depends onc, as discussed in the end of Section 3).…”
Section: Mathematical Formulation and Governing Equationsmentioning
confidence: 99%
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“…As a premixed turbulent flame develops, both the burning velocity and mean flame brush thickness grow, but these processes slow down with time [28,30,31]. Accordingly, the function (θ) decreases (initially, is large due to a low u t ) and transition from gradient to countergradient transport occurs at θ tr provided that l > 0.…”
Section: Discussionmentioning
confidence: 99%
“…As shown elsewhere [27], (31) and (32) are equivalent to the Favre-averaged continuity and combustion progress variable balance equations. Moreover, the sum of (33) and (34) yields the Favre-averaged Navier-Stokes equation or the Favreaveraged Euler equation if conditioned viscous terms that involve τ ik are neglected at high Reynolds number.…”
Section: Standard Governing Equationsmentioning
confidence: 99%