The scalar dissipation rate transport in both the corrugated flamelet and thin reaction zone regimes is studied using three-dimensional direct numerical simulation (DNS) databases for freely propagating statistically planar turbulent premixed flames. Both flames have comparable turbulent Reynolds number but the flame representing the corrugated flamelet combustion regime has a global Damköhler number, , whereas the second flame representing the thin reaction zone regime has . It is demonstrated that the turbulent transport of the scalar dissipation rate and its molecular diffusive transport have strong Da dependence. The contributions of dilatation rate, the turbulence-scalar interaction, the reaction-rate–scalar gradient interaction, and the dissipation processes have leading order contributions for both the flames. However, the turbulence-scalar interaction dissipates scalar gradients in the flame, while it produces the scalar gradients in the flame. Simple algebraic models for the contributions of the various processes noted above to the scalar dissipation rate evolution are proposed and their a priori assessment is carried out with respect to DNS data. These models explicitly have Da and the Karlovitz number Ka dependence, and thus, they can be viewed and used as unified models for both the corrugated flamelet and thin reaction zone regimes. Physical realizability of the modeled scalar dissipation rate transport equation is studied and the model constants obtained by using the DNS data sets are shown to satisfy the realizability condition.
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April 2008
Research Article|
April 28 2008
A priori assessment of closures for scalar dissipation rate transport in turbulent premixed flames using direct numerical simulation
N. Chakraborty;
N. Chakraborty
1Engineering Department,
University of Liverpool
, Brownlow Hill, Liverpool L69 3GH, United Kingdom
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J. W. Rogerson;
J. W. Rogerson
a)
2Department of Engineering,
University of Cambridge
, Cambridge CB2 1PZ, United Kingdom
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N. Swaminathan
N. Swaminathan
2Department of Engineering,
University of Cambridge
, Cambridge CB2 1PZ, United Kingdom
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a)
Author to whom correspondence should be addressed. Electronic mail: jwr36@cam.ac.uk.
Physics of Fluids 20, 045106 (2008)
Article history
Received:
September 06 2007
Accepted:
March 10 2008
Citation
N. Chakraborty, J. W. Rogerson, N. Swaminathan; A priori assessment of closures for scalar dissipation rate transport in turbulent premixed flames using direct numerical simulation. Physics of Fluids 1 April 2008; 20 (4): 045106. https://doi.org/10.1063/1.2903846
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