Premixed flame propagation in a high-intensity, large-scale vortical flow

Aldredge, R.C.

doi:10.1016/0010-2180(95)00240-5

Cited by 38 publications

(44 citation statements)

References 19 publications

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“…Previous studies [30] reported an essentially linear dependence of the front speed on the flow intensity, i.e., v f ∝ U for large U which is not too far but different from our result. A rigorous bound has been obtained in Ref [34] by using the G-equation:…”

Section: Front Speed In the Geometrical Optics Regimecontrasting

confidence: 99%

“…As far as the cellular flow is concerned, the front border is wrinkled by the velocity field during propagation and its length increases until pockets of fresh material develop [28][29][30]. After this, the front propagates periodically in space and time with an average speed v f , which is enhanced with respect to the propagation speed v 0 of the fluid at rest [31] (see Ref.…”

Section: Front Speed In the Geometrical Optics Regimementioning

confidence: 99%

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Front speed enhancement in cellular flows

Abel

Cencini

Vergni

et al. 2002

Chaos: An Interdisciplinary Journal of Nonlinear Science

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The problem of front propagation in a stirred medium is addressed in the case of cellular flows in three different regimes: slow reaction, fast reaction and geometrical optics limit. It is well known that a consequence of stirring is the enhancement of front speed with respect to the non-stirred case. By means of numerical simulations and theoretical arguments we describe the behavior of front speed as a function of the stirring intensity, $U$. For slow reaction, the front propagates with a speed proportional to $U^{1/4}$, conversely for fast reaction the front speed is proportional to $U^{3/4}$. In the geometrical optics limit, the front speed asymptotically behaves as $U/\ln U$.Comment: 10 RevTeX pages, 10 included eps figure

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Section: Front Speed In the Geometrical Optics Regimecontrasting

confidence: 99%

Section: Front Speed In the Geometrical Optics Regimementioning

confidence: 99%

Front speed enhancement in cellular flows

Abel

Cencini

Vergni

et al. 2002

Chaos: An Interdisciplinary Journal of Nonlinear Science

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“…1 As kindly noted by a reviewer, the first three steps were already passed for a simpler relevant problem, i.e., propagation of a hydrodynamically passive reaction wave through a stationary twodimensional (2D) array of single-scale vortices [25][26][27][28]. However, Kagan and Sivashinsky [26] noted that certain results computed by them might not "hold for turbulent combustion" and suggested to extend their "study over multiscale, time-dependent and random velocity fields" (p. 229).…”

Section: Governing Equationsmentioning

confidence: 99%

Direct numerical simulation study of statistically stationary propagation of a reaction wave in homogeneous turbulence

Lipatnikov

2017

Phys. Rev. E

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A three-dimensional (3D) direct numerical simulation (DNS) study of the propagation of a reaction wave in forced, constant-density, statistically stationary, homogeneous, isotropic turbulence is performed by solving Navier-Stokes and reaction-diffusion equations at various (from 0.5 to 10) ratios of the rms turbulent velocity U to the laminar wave speed, various (from 2.1 to 12.5) ratios of an integral length scale of the turbulence to the laminar wave thickness, and two Zeldovich numbers Ze = 6.0 and 17.1. Accordingly, the Damköhler and Karlovitz numbers are varied from 0.2 to 25.1 and from 0.4 to 36.2, respectively. Contrary to an earlier DNS study of self-propagation of an infinitely thin front in statistically the same turbulence, the bending of dependencies of the mean wave speed on U is simulated in the case of a nonzero thickness of the local reaction wave. The bending effect is argued to be controlled by inefficiency of the smallest scale turbulent eddies in wrinkling the reaction-zone surface, because such small-scale wrinkles are rapidly smoothed out by molecular transport within the local reaction wave.

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“…By fixing θ = 1 for x → −∞ and θ = 0 for x → ∞ the front propagates from left to right. It is natural to expect that the front speed can be expressed according to the following relation [7,25,26] …”

Section: Stationary Cellular Flowmentioning

confidence: 99%

Thin front propagation in steady and unsteady cellular flows

et al. 2003

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Front propagation in two dimensional steady and unsteady cellular flows is investigated in the limit of very fast reaction and sharp front, i.e., in the geometrical optics limit. In the steady case, by means of a simplified model, we provide an analytical approximation for the front speed, v f , as a function of the stirring intensity, U , in good agreement with the numerical results and, for large U , the behavior v f ∼ U/ log(U ) is predicted. The large scale of the velocity field mainly rules the front speed behavior even in the presence of smaller scales. In the unsteady (time-periodic) case, the front speed displays a phase-locking on the flow frequency and, albeit the Lagrangian dynamics is chaotic, chaos in front dynamics only survives for a transient. Asymptotically the front evolves periodically and chaos manifests only in the spatially wrinkled structure of the front.

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Premixed flame propagation in a high-intensity, large-scale vortical flow

Cited by 38 publications

References 19 publications

Front speed enhancement in cellular flows

Front speed enhancement in cellular flows

Direct numerical simulation study of statistically stationary propagation of a reaction wave in homogeneous turbulence

Thin front propagation in steady and unsteady cellular flows

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