The interaction between turbulence and combustion

Bray, K.N.C.

doi:10.1016/s0082-0784(79)80024-7

Cited by 103 publications

(75 citation statements)

References 13 publications

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“…The direct relationship between averaged reaction rate and scalar dissipation rate in high Damköhler number flames was shown by Bray (1979Bray ( , 1980 for RANS methodology, which was also shown to hold for low Damköhler number combustion (Chakraborty and Cant, 2011;Chakraborty and Swaminathan, 2011). Dunstan et al (2013) demonstrated its applicability for LES, which is supported by subsequent analyses using DNS and LES (Butz et al, 2015;Ma et al, 2014).…”

Section: Algebraic Closure For Filtered Reaction Ratementioning

confidence: 75%

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Large Eddy Simulation of Premixed Combustion: Sensitivity to Subgrid Scale Velocity Modeling

Langella

Swaminathan

Gao

et al. 2016

Combustion Science and Technology

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An algebraic reaction rate closure involving filtered scalar dissipation rate of reaction progress variable is studied. The filtered scalar dissipation rate closure requires a model for sub-grid scale velocity, u 0 Δ , which is estimated using four algebraic models and transported subgrid scale kinetic energy. A priori analyses using direct numerical simulation (DNS) data show that the filtered dissipation rate, and thus the reaction rate closure, has some sensitivity to the u 0 Δ model. The sensitivity of various statistics obtained from large eddy simulation (LES) of three piloted Bunsen flames of stoichiometric methaneair mixture to the modeling of u 0 Δ is observed to be weaker compared to that for the DNS analysis. Moreover, analysis using transported sub-grid scale kinetic energy does not indicate a necessity to include flame-generated turbulence in the modeling of u 0 Δ for the Bunsen flames in the thin reaction zones regime. The measured and computed flame brush structures are compared and studied and the algebraic closure for the filtered reaction rate is found to be quite good. ARTICLE HISTORY

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Section: Algebraic Closure For Filtered Reaction Ratementioning

confidence: 75%

“…where f(c) is the burning mode PDF of c and the subscript 'L' refers to planar laminar flame (Bray, 1979(Bray, , 1980. These integrals can be evaluated using laminar flame results and thus C m ' 0:83, obtained using DNS data, is a thermochemical parameter.…”

Section: Algebraic Closure For Filtered Reaction Ratementioning

confidence: 99%

Large Eddy Simulation of Premixed Combustion: Sensitivity to Subgrid Scale Velocity Modeling

Langella

Swaminathan

Gao

et al. 2016

Combustion Science and Technology

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“…Choice of the PDF is close to arbitrary, although physical significance is being attached to whether delta functions or trapezoids are used [142]. A major conceptual problem lies in the fact that some calculations are extremely sensitive to the form of the PDF.…”

Section: Xd2 Moment Equation Methodsmentioning

confidence: 99%

Detailed Modelling of Combustion Systems

Oran¹,

Boris²

1980

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“…[5,6] indirectly by using a balance equation for a progress variable and taking the instantaneous reaction rate 42 to be a function of the progress variable. In this way the time derivative 43 is obtained using the spatial derivative of the progress variable field at one 44 single time step from the DNS data [16][17][18]. These numerical data are, Moreover, the parameter K related to a time scale for the rate of change of 53 fluctuating heat release rate, required to predict the combustion noise level,…”

mentioning

confidence: 99%

“…Swaminathan et al [5,6] performed RANS calculations 429 of the flames in Table 4 using a standardk-ε turbulence model. The mean 430 reaction rate,ẇ, was calculated using an algebraic closure [43] and a recent 431 scalar dissipation rate model [44]. The spatial distribution ofẇ(x, R) from 432 the RANS results [5,6] and the values of K + obtained from the DNS of The integral correlation volume V + cor obtained from Cases I to III in 438 Section 4.2 and the laminar flame speed and its thickness given in Table 4 are 439 used in Eq.…”

mentioning

confidence: 99%