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Impact of mixture fraction field curvature on chemical species transport in diffusion flames

Xuan, Y. and Blanquart, G. and Mueller, M. (2013) Impact of mixture fraction field curvature on chemical species transport in diffusion flames. In: 8th US national combustion meeting 2013 : Park City, Utah, USA, 19-22 May 2013. Vol.3. Curran Associates, Inc. , Red Hook, NY , pp. 2136-2146. ISBN 9781627488426.

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This study investigates the effects of curvature of mixture fraction iso-surfaces on the non-unity Lewis number transport of species in diffusion flames. A general flamelet formulation is derived mathematically for both unity and non-unity Lewis number transport and for different contours of mixture fraction iso-surfaces (i.e. non-zero curvature with varying magnitude.). These theoretical results suggest that curvature does not play a role in the transport process for unity Lewis number irrespective of the flame curvature, which was varied between highly curved and perfectly flat. On the other hand, for nonunity Lewis numbers, a curvature-related term becomes explicit for perfectly spherical flames, and this term acts as a convective term in mixture fraction space. Finally, in cases where flame curvature is not uniform, this convective term induces a non-zero diffusion flux in the direction normal to the mixture fraction gradient, which is inconsistent with the 1D flamelet assumptions. The flamelet equations accounting for curvature effects are solved considering first laminar spherical diffusion flames with different prescribed curvature at the stoichiometric mixture fraction. The results indicate that the magnitude of the curvature-induced convection term can become much larger than that of the convective term in the traditional flamelet formulation. Furthermore, the mass fraction profiles of heavy hydrocarbons, such as PAHs, are shifted significantly by the inclusion of curvature. The current work suggests a possible means to account for curvature effects via a new a priori chemistry tabulation which includes curvature for laminar and mildly turbulent diffusion flames.

Item Type:Book Section
Blanquart, G.0000-0002-5074-9728
Additional Information:© 2013 Curran Associates, Inc. Paper # 070LT-0248. The authors gratefully acknowledge funding from the U.S. Department of Energy-Basic Energy Sciences (DE-SC006591).
Funding AgencyGrant Number
Department of Energy (DOE)DE-SC006591
Record Number:CaltechAUTHORS:20141001-100943831
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:50140
Deposited By: Joanne McCole
Deposited On:01 Oct 2014 21:40
Last Modified:03 Oct 2019 07:20

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