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Approximate Solutions of the Transformation of Vortices through a Premixed Flame using Generalized Expansions

Bobbitt, Brock and Blanquart, Guillaume (2013) Approximate Solutions of the Transformation of Vortices through a Premixed Flame using Generalized Expansions. In: Fall Technical Meeting of the Western States Section of the Combustion Institute. Curran Associates , Red Hook, NY, pp. 410-421. ISBN 978-1-62993-584-3.

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The vortex-premixed flame interaction is investigated analytically for vortices of different length and velocity scales, l_v and u_v, by expanding the continuity, momentum, vorticity, temperature, and species equations. The terms are written in powers of a small parameter, ϵ. Solutions are separated based on the ratio of u_v to the laminar name speed, S_L, for a strong vortex, S_L/u_v = ϵ « 1, and for a weak vortex, u_v/S_L = ϵ « 1. They are further separated based upon the ratio of l_v to the flame length scale. L_F, resulting in four different cases. For all cases, the leading order equations describing the name and vortex are derived. The vorticity equation which describes to leading order the transformation of the vortices across the flame is solved analytically for l_v/l_F « 1, and qualitatively described for l_v/l_F » 1. This provides the leading order solution for the transformation of the size, velocity, circulation, and vorticity of the vortex across the flame. These solutions have applicability to modeling and predicting the transformation of turbulence across a flame.

Item Type:Book Section
Blanquart, Guillaume0000-0002-5074-9728
Additional Information:© 2013 Western States Section/Combustion Institute. The authors gratefully acknowledge funding from the Air Force Office of Scientific Research (Award FA9550-12-1-0144) under the supervision of Dr. Chiping Li.
Funding AgencyGrant Number
Air Force Office of Scientific Research (AFOSR)FA9550-12-1-0144
Record Number:CaltechAUTHORS:20150723-093635097
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:58992
Deposited By: Tony Diaz
Deposited On:24 Jul 2015 19:21
Last Modified:03 Oct 2019 08:42

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