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Lookup NU author(s): Professor Nilanjan ChakrabortyORCiD
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND).
© 2018 Hydrogen Energy Publications LLC Transport equations for (i) the rate W of product creation and (ii) its Favre-averaged value W˜ are derived from the first principles by assuming that W depends solely on the temperature and mass fraction of a deficient reactant in a premixed turbulent flame characterized by the Lewis number Le different from unity. The right hand side of the transport equation for W˜ involves seven unclosed terms, with some of them having opposite signs and approximately equal large magnitudes when compared to the left-hand-side terms. Accordingly, separately closing each term does not seem to be a promising approach, but a joint closure relation for the sum TΣ¯ of the seven terms is sought. For this purpose, theoretical and numerical investigations of variously stretched laminar premixed flames characterized by Le<1 are performed and the linear relation between TΣ integrated along the normal to a laminar flame and a product of (i) the consumption velocity uc and (ii) the stretch rate s˙w evaluated in the flame reaction zone is obtained. Based on this finding and simple physical reasoning, a joint closure relation of TΣ¯∝ρWs˙¯ is hypothesized, where ρ is the density and s˙ is the stretch rate. The joint closure relation is tested against 3D DNS data obtained from three statistically 1D, planar, adiabatic, premixed turbulent flames in the case of a single-step chemistry and Le=0.34, 0.6, or 0.8. In all three cases, the agreement between TΣ¯ and ρWs˙¯ extracted from the DNS is good with exception of large (c¯>0.4) values of the mean combustion progress variable c¯ in the case of Le=0.34. The developed linear relation between TΣ¯ and ρWs˙¯ helps to understand why the leading edge of a premixed turbulent flame brush can control its speed.
Author(s): Lipatnikov AN, Chakraborty N, Sabelnikov VA
Publication type: Article
Publication status: Published
Journal: International Journal of Hydrogen Energy
Year: 2018
Volume: 43
Issue: 45
Pages: 21060-21069
Print publication date: 08/11/2018
Online publication date: 06/10/2018
Acceptance date: 11/09/2018
Date deposited: 11/09/2018
ISSN (print): 0360-3199
ISSN (electronic): 1879-3487
Publisher: Elsevier Ltd
URL: https://doi.org/10.1016/j.ijhydene.2018.09.082
DOI: 10.1016/j.ijhydene.2018.09.082
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