A Lagrangian Model of Combustion in High-Speed Flows: Application to Scramjet Conditions

Izard, Jean-François; Lehnasch, Guillaume; Mura, Arnaud

doi:10.1080/00102200903181892

Cited by 14 publications

(20 citation statements)

References 45 publications

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“…In this manner, a strong but clearly-stated functional dependence is introduced between the two variables ξ and Y : the corresponding pathline Y MIL (ξ) is fully determined through the single knowledge of the mixture fraction values that correspond to the jump positions ξ J− and ξ J+ . These values are readily obtained from a direct comparison between the mixing time scale τ and tabulated chemical time scales that can incorporate the details of the chemical kinetics [15,31]. From the delineation of the corresponding Lagrangian path Y = Y MIL (ξ) in the composition space, the estimation of the joint scalar PDF P (Y ; ξ; x, t) can be simply expressed through the knowledge of the marginal mixture fraction PDF P (ξ; x, t).…”

Section: Lagrangian Model Of Turbulent Combustionmentioning

confidence: 99%

“…The capability of the corresponding closure of describing high-speed §ow combustion has been validated against well-documented experimental data [15]. Herein, it is described how the corresponding computational model is now used in conjunction with a two-phase §ow Lagrangian solver CEDILLE [17] in order to consider turbulent spray combustion.…”

Section: Introductionmentioning

confidence: 99%

“…In previous works [14,15], a nonpremixed turbulent combustion model has been implemented in the compressible and reactive Navier Stokes solver N3SNATUR [16]. The capability of the corresponding closure of describing high-speed §ow combustion has been validated against well-documented experimental data [15].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Lagrangian modeling of turbulent spray combustion: application to rocket engines cryogenic conditions

Izard

Mura

2011

Progress in Propulsion Physics

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The present work is concerned with the application of a turbulent two-phase §ow combustion model to a spray §ame of Liquid Oxygen (LOx) and Gaseous Hydrogen (GH 2 ). The proposed strategy relies on a joint Eulerian Lagrangian framework. The Probability Density Function (PDF) that characterizes the liquid phase is evaluated by simulating the Williams spray equation [1] thanks to the semi §uid approach introduced in [2]. The Lagrangian approach provides the classical exchange terms with the gaseous phase and, especially, several vaporization source terms. They are required to describe turbulent combustion but di©cult to evaluate from the Eulerian point of view. The turbulent combustion model retained here relies on the consideration of the mixture fraction to evaluate the local fuel-to-oxidizer ratio, and the oxygen mass fraction to follow the deviations from chemical equilibrium. The di©culty associated with the estimation of a joint scalar PDF is circumvented by invoking the sudden chemistry hypothesis [3]. In this manner, the problem reduces to the estimation of the mixture fraction PDF, but with the in §uence of the terms related to vaporization that are the source of additional §uctuations of composition. Following the early proposal of [4], these terms are easily obtained from the Lagrangian framework adopted to describe the two-phase §ows. The resulting computational model is applied to the numerical simulation of LOx GH 2 spray §ames. The test case (Mascotte) is representative of combustion in rocket engine conditions. The results of numerical simulations display a satisfactory agreement with available experimental data.

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Section: Lagrangian Model Of Turbulent Combustionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Lagrangian modeling of turbulent spray combustion: application to rocket engines cryogenic conditions

Izard

Mura

2011

Progress in Propulsion Physics

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“…For this purpose, the whole model is implemented in the computational fluid dynamics (CFD) code N3S_Natur [31], used by the SAFRAN group and its partners [34,35]. Further details about this implementation will be provided in the next section.…”

Section: Nonreactive Mixingmentioning

confidence: 99%

“…As mentioned in the previous section, the whole model is implemented in the CFD code N3S_Natur [31], used by the SAFRAN group and its partners [34,35]. N3S_Natur solves the three-dimensional compressible and reactive Navier-Stokes equations; it relies on a mixed finite volume finite element approach applied on unstructured meshes.…”

Section: Reconstructed Mass Fractions Transported Mass Fractionsmentioning

confidence: 99%