An approach to the autoignition of a turbulent mixture

Dopazo, César; O’Brien, Edward E.

doi:10.1016/0094-5765(74)90050-2

Cited by 335 publications

(153 citation statements)

References 17 publications

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“…The major attraction of this method is that the terms associated with chemical reaction appear in closed form, leaving only 'molecular' mixing and turbulent transport terms to be modelled. There has been considerable development in the past three decades in PDF methods, and reviews can be found in Dopazo and O'Brien [1] and Subramaniam and Pope [2].…”

Section: Introductionmentioning

confidence: 99%

Transported-PDF (IEM, EMST) micromixing models in a hydrogen-air nonpremixed turbulent flame

Senouci¹,

Bounif²,

Abidat³

et al. 2013

Acta Mech

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The topic of this study is the numerical simulation of a turbulent non-premixed hydrogen flame with different micromixing models in order to investigate their predictive capability. The two micromixing models are compared. Comparisons with experimental data demonstrate that predictions based on the EMST model are slightly better. The EMST improves largely the precision of the results to the detriment of the RAM and the CPU performances. Overall, profile predictions of mixture fraction, flame temperature and major species are in reasonable agreement with experimental data.

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Section: Introductionmentioning

confidence: 99%

Transported-PDF (IEM, EMST) micromixing models in a hydrogen-air nonpremixed turbulent flame

Senouci¹,

Bounif²,

Abidat³

et al. 2013

Acta Mech

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“…In chemical reactions, pdf methods are commonly used to model the interaction chemical species -turbulence, and thus, to accurately describe the highly nonlinear chemical source term. For this purpose, Dopazo and O'Brien 30 introduced the transport equation of the composition joint-pdf fφ (ψ; x, t). fφ (ψ; x, t) dψ is the probability of the event…”

Section: Probability Density Function Approachmentioning

confidence: 99%

Stochastic-field cavitation model

2013

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Nonlinear phenomena can often be well described using probability density functions (pdf) and pdf transport models. Traditionally, the simulation of pdf transport requires Monte-Carlo codes based on Lagrangian “particles” or prescribed pdf assumptions including binning techniques. Recently, in the field of combustion, a novel formulation called the stochastic-field method solving pdf transport based on Eulerian fields has been proposed which eliminates the necessity to mix Eulerian and Lagrangian techniques or prescribed pdf assumptions. In the present work, for the first time the stochastic-field method is applied to multi-phase flow and, in particular, to cavitating flow. To validate the proposed stochastic-field cavitation model, two applications are considered. First, sheet cavitation is simulated in a Venturi-type nozzle. The second application is an innovative fluidic diode which exhibits coolant flashing. Agreement with experimental results is obtained for both applications with a fixed set of model constants. The stochastic-field cavitation model captures the wide range of pdf shapes present at different locations.

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“…31 When a single dimension has been used for the reference space, and this is not sufficient, a second-order closure has been used previously. 7,11 The two simplest PDF models, the modified Curl's model and interaction by exchange with the mean 32,33 are easily applied and may produce good results for simple cases, but have significant limitations in predicting higher-order moments. 26 There is a similarity between MMC and EMST in that they both attempt to apply locality in composition space, however, EMST is not completely linear ͑it does not treat each scalar independently of all others͒ and it was recognized that matching particles by the smallest distance in composition space was problematic.…”

Section: B Analysis Of Hybrid Model Performancementioning

confidence: 99%

Hybrid binomial Langevin-multiple mapping conditioning modeling of a reacting mixing layer

Wandel

Lindstedt

2009

Physics of Fluids

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A novel, stochastic, hybrid binomial Langevin-multiple mapping conditioning ͑MMC͒ model-that utilizes the strengths of each component-has been developed for inhomogeneous flows. The implementation has the advantage of naturally incorporating velocity-scalar interactions through the binomial Langevin model and using this joint probability density function ͑PDF͒ to define a reference variable for the MMC part of the model. The approach has the advantage that the difficulties encountered with the binomial Langevin model in modeling scalars with nonelementary bounds are removed. The formulation of the closure leads to locality in scalar space and permits the use of simple approaches ͑e.g., the modified Curl's model͒ for transport in the reference space. The overall closure was evaluated through application to a chemically reacting mixing layer. The results show encouraging comparisons with experimental data for the first two moments of the PDF and plausible results for higher moments at a relatively modest computational cost.

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An approach to the autoignition of a turbulent mixture

Cited by 335 publications

References 17 publications

Transported-PDF (IEM, EMST) micromixing models in a hydrogen-air nonpremixed turbulent flame

Transported-PDF (IEM, EMST) micromixing models in a hydrogen-air nonpremixed turbulent flame

Stochastic-field cavitation model

Hybrid binomial Langevin-multiple mapping conditioning modeling of a reacting mixing layer

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