A Probability Distribution Function for Turbulent Flows

Rhodes, Russel E.

doi:10.1007/978-1-4615-8738-5_10

Cited by 22 publications

(11 citation statements)

References 4 publications

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“…The model coefficient C S (in equation (4) for the turbulent viscosity ν t ) is obtained by the dynamic procedure originally proposed by Germano et al [28] and using the least-squares approach following Lilly [29]. No special wall treatment is included into the sub-grid scale model.…”

Section: Governing Equationsmentioning

confidence: 99%

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Assessing the Predictive Capabilities of Combustion LES as Applied to the Sydney Flame Series

Olbricht

Ketelheun

Hahn

et al. 2010

Flow Turbulence Combust

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Large Eddy Simulation (LES) and flamelet-based combustion models were applied to four bluff-body stabilized nonpremixed and partially premixed flames selected from the Sydney flame series, based on Masri's bluff-body test rig (University of Sydney). Three related non-reacting flow cases were also investigated to assess the performance of the LES solver. Both un-swirled and swirled cases were studied exhibiting different flow features, such as recirculation, jet precessing and vortex breakdown. Due to various fuel compositions, flow rates and swirl numbers, the combustion characteristics of the flames varied greatly. On six meshes with different blocking structure and mesh sizes, good prediction of flow and scalar fields using LES/flamelet approaches and known fuel and oxidizer mass fluxes was achieved. The accuracy of predictions was strongly influenced by the combustion model used. All flames were calculated using at least two modeling strategies. Starting with calculations of isothermal flow cases, simple single flamelet based calculations were carried out for the corresponding reacting cases. The combustion models were then adjusted to fit the requirements of each flame. For all flame calculations good agreement of the main flow features with the measured data was achieved. For purely nonpremixed flames burning attached to the bluff-body's outer edge, flamelet modeling including strain rate effects provided good results for the flow field and for most scalars. The prediction of a partially premixed swirl flame could only be achieved by applying a flamelet-based progress variable approach.

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Section: Governing Equationsmentioning

confidence: 99%

“…Several assumed shape or presumed PDF methods have been proposed in the past. The most common form for PDFs is represented by the β-PDF, [4]. Applying a LES-Monte-Carlo method, Olbricht et al [5] showed that the β-PDF approach is a good method to describe subgrid scale mixing.…”

Section: Introductionmentioning

confidence: 99%

Assessing the Predictive Capabilities of Combustion LES as Applied to the Sydney Flame Series

Olbricht

Ketelheun

Hahn

et al. 2010

Flow Turbulence Combust

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“…These authors commented, however, that a beta function would have been more realistic. The beta function distribution was used by Richardson, Howard and Smith [12], Rhodes [13] and Janicka and Kollmann [14]. The beta function p.d.f.…”

Section: The Probability Distributionmentioning

confidence: 99%

The Premixed Turbulent Flame in the Limit of a Large Activation Energy

Peters¹

1982

Journal of Non-Equilibrium Thermodynamics

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The limit of large activation energies is used to derive a closed form expression for the mean reaction rate of a premixed turbulent flame. The analysis is based on the assumption that a single progress variable, the reduced temperature, describes the nonequilibrium structure of the flame. A beta-function distribution is used for the probability distribution function (p.d.f.) of this progress variable. The differential equations for the mean and the variance of the reduced temperature are solved numerically. It is shown that in the limit of strong fluctuations the formulation reduces to the Bray-Moss-Libby model of a premixed turbulent flame.

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“…As a continuous Pdf, the modified beta-function proposed by Rhodes (1975) will be used in this analysis…”

Section: Introduction Asymptotic Analysismentioning

confidence: 99%

Asymptotic Evaluation of the Mean NO-Production Rate in Turbulent Diffusion Flames

Janicka¹,

Peters

1980

Combustion Science and Technology

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A Probability Distribution Function for Turbulent Flows

Cited by 22 publications

References 4 publications

Assessing the Predictive Capabilities of Combustion LES as Applied to the Sydney Flame Series

Assessing the Predictive Capabilities of Combustion LES as Applied to the Sydney Flame Series

The Premixed Turbulent Flame in the Limit of a Large Activation Energy

Asymptotic Evaluation of the Mean NO-Production Rate in Turbulent Diffusion Flames

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