Ignition and Structure of a Laminar Diffusion Flame in the Field of a Vortex

Abstract The distortion of flames in flows with vortical motion is examined via asymptotic analysis and numerical simulation. The model consists of a constant-density. one-step, irreversible Arrhenius reaction between initially unmixed species occupying adjacent half-planes which are then allowed to mix and react in the presence of a vortex. The evolution in time of the temperature and mass-fraction fields is followed. Emphasis is placed on the ignition time and location as a function of vortex Reynolds number and initial temperature differences of the reacting species. The study brings out the influence of the vortex on the chemical reaction. In all phases, good agreement is observed between asymptotic analysis and the full numerical solution of the model equations.

[1]  A. Karagozian,et al.  Flame Structure and Fuel Consumption in the Field of a Vortex Pair , 1986 .

[2]  F. Williams,et al.  Premixed combustion in a vortex , 1989 .

[3]  H. Baum,et al.  Diffusion-Controlled Reaction in a Vortex Field , 1987 .

[4]  J. Dold ANALYSIS OF THE EARLY STAGE OF THERMAL RUNAWAY. , 1985 .

[5]  W. Sirignano Review of theory of mixing and reaction within a vortical structure , 1989 .

[6]  Frank E. Marble,et al.  Growth of a Diffusion Flame in the Field of a Vortex , 1985 .

[7]  J. Buckmaster,et al.  Anomalous lewis number effects in tribrachial flames , 1989 .

[8]  W. Sirignano,et al.  Study of molecular mixing and a finite rate chemical reaction in a mixing layer , 1989 .

[9]  Thomas L. Jackson,et al.  Ignition and structure of a laminar diffusion flame in a compressible mixing layer with finite rate chemistry , 1991 .

[10]  Antonio Crespo,et al.  An Asymptotic Analysis of Unsteady Diffusion Flames for Large Activation Energies , 1976 .

[11]  M. Y. Hussaini,et al.  An asymptotic analysis of supersonic reacting mixing layers , 1988 .

[12]  Analysis of thermal runaway in the ignition process , 1989 .

[13]  W. Sirignano,et al.  Study of Mixing and Reaction in the Field of A Vortex , 1990 .

[14]  Frank E. Marble,et al.  Study of a Diffusion Flame in a Stretched Vortex , 1986 .

[15]  Sébastien Candel,et al.  A numerical analysis of a diffusion flame-vortex interaction , 1988 .

[16]  G. S. S. Ludford,et al.  Theory of Laminar Flames , 1982 .