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Original Articles

Reynolds Number Effects on Scalar Dissipation Rate Transport and Its Modeling in Turbulent Premixed Combustion

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Pages 676-709 | Received 11 Aug 2012, Accepted 16 Oct 2012, Published online: 29 Mar 2013
 

Abstract

The effects of turbulent Reynolds number, Re t , on the transport of scalar dissipation rate of reaction progress variable in the context of Reynolds averaged Navier–Stokes simulations have been analyzed using three-dimensional simplified chemistry-based direct numerical simulation (DNS) data of freely propagating turbulent premixed flames with different values of Re t . Scaling arguments have been used to explain the effects of Re t on the turbulent transport, scalar–turbulence interaction, and the combined reaction and molecular dissipation terms. Suitable modifications to the models for these terms have been proposed to account for Re t effects, and the model parameters include explicit Re t dependence. These expressions approach expected asymptotic limits for large values of Re t . However, turbulent Reynolds number Re t does not seem to have any major effects on the modeling of the term arising from density variation.

ACKNOWLEDGMENT

The authors are grateful to the Engineering and Physical Sciences Research Council (EPSRC), UK, for financial support.

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