Application of a non-asymptotic approach to prediction of the propagation of a flame through a fuel and/or oxidant droplet cloud

Kats, G.; Greenberg, J.B.

doi:10.1016/j.apm.2013.02.038

Cited by 2 publications

(3 citation statements)

References 27 publications

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“…With the fuel supplied as a liquid spray only, that is, = 1, it is readily observed that the flame propagation velocity is less than that of its gaseous counterpart for any given value of . This is not surprising since, even without volumetric/radiative heat loss, the droplets themselves must absorb heat for evaporation, thereby automatically lowering the flame temperature and, hence, the flame velocity (see, also, [10,16]). As the droplet evaporation takes place in a front this source of heat loss is quite concentrated leading to a notable influence on the flame velocity.…”

Section: Resultsmentioning

confidence: 99%

“…In a previous publication [16] we modified a nonasymptotic mathematical approach [17,18] to analyzing gas flame propagation and successfully applied it to examine the propagation of liquid fuel spray flames and double spray flames (i.e., both fuel and oxidizer supplied as a spray of droplets). For propagation studies this approach seems to be a viable alternative to an asymptotic approach.…”

Section: Introductionmentioning

confidence: 99%

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On Laminar Rich Premixed Polydisperse Spray Flame Propagation with Heat Loss

Kats

Greenberg

2016

Journal of Combustion

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A mathematical analysis of laminar premixed spray flame propagation with heat loss is presented. The analysis makes use of a distributed approximation of the Arrhenius exponential term in the reaction rate expression and leads to an implicit expression for the laminar burning velocity dependent on the spray-related parameters for the fuel, gas-related parameters and the intensity of the heat losses. It is shown that the initial droplet load, the value of the evaporation coefficient, and the initial size distribution are the spray-related parameters which exert an influence on the onset of extinction. The combination of these parameters governs the manner in which the spray heat loss is distributed spatially and it is this feature that is the main factor, when taken together with volumetric heat loss, which determines the spray's impact on flame propagation and extinction.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

On Laminar Rich Premixed Polydisperse Spray Flame Propagation with Heat Loss

Kats

Greenberg

2016

Journal of Combustion

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“…More elaborate situations appearing in propulsion engines are for example pulsating or acoustic instabilities. We refer to [16] [15] [11] [12][13] [7] and more recently [8][14] [20][21] [22] for studies in that direction.…”

Section: Introductionmentioning

confidence: 99%

Existence of travelling waves and high activation energy limits for a onedimensional thermo-diffusive lean spray flame model

Berthonnaud,

Domelevo

2017

Preprint

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We provide a mathematical analysis of a thermo-diffusive combustion model of lean spray flames, for which we prove the existence of travelling waves. In the high activation energy singular limit we show the existence of two distinct combustion regimes with a sharp transition -the diffusion limited regime and the vaporisation controlled regime. The latter is specific to spray flames with slow enough vaporisation. We give a complete characterisation of these regimes, including explicit velocities, profiles, and upper estimate of the size of the internal combustion layer.Our model is on the one hand simple enough to allow for explicit asymptotic limits and on the other hand rich enough to capture some particular aspects of spray combustion. Finally, we briefly discuss the cases where the vaporisation is infinitely fast, or where the spray is polydisperse.

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Application of a non-asymptotic approach to prediction of the propagation of a flame through a fuel and/or oxidant droplet cloud

Cited by 2 publications

References 27 publications

On Laminar Rich Premixed Polydisperse Spray Flame Propagation with Heat Loss

On Laminar Rich Premixed Polydisperse Spray Flame Propagation with Heat Loss

Existence of travelling waves and high activation energy limits for a onedimensional thermo-diffusive lean spray flame model

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