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Flame holes and flame disks on the surface of a diffusion flame

Flame holes and flame disks on the surface of a diffusion flame

Flame holes and flame disks on the surface of a diffusion

J. Fluid Mech. (2004), vol. 513, pp. 287–307. c○ 2004 Cambridge University Press DOI: 10.1017/S0022112004009954 Printed in the United Kingdom 287 ong>Flameong> ong>holesong> ong>andong> ong>flameong> ong>disksong> on the surface of a diffusion ong>flameong> By ZHANBIN LU† AND SANDIP GHOSAL Department of Mechanical Engineering, Northwestern University, 2145 Sheridan Road, Evanston, IL 60208, USA s-ghosal@northwestern.edu (Received 8 July 2003 ong>andong> in revised form 9 April 2004) ong>Flameong> ong>holesong> ong>andong> ong>flameong> ong>disksong> in a laminar axisymmetric counterflow configuration are numerically investigated for unity Lewis number, with the strain rate as the control parameter. The temporal evolution of the topological structure of ong>flameong> ong>holesong> ong>andong> ong>flameong> ong>disksong> is described in detail for different representative strain rates. It is found that corresponding to each given strain rate, there exists a critical hole (disk) radius r c that separates the shrinking ong>andong> expong>andong>ing hole (disk) regimes. The value of r c decreases monotonically with the increase (decrease) of strain rate ong>andong> reaches a finite minimum at the extinction (ignition) limit of the strain rate, which indicates that one cannot ignite a mixing layer by an infinitesimal energy source, nor can one quench a diffusion ong>flameong> by making an infinitesimal extinction hole on it. An examination of the phase diagrams of ong>flameong> ong>holesong> (ong>disksong>) justifies the existence of a unique edge-ong>flameong> velocity v f as a smooth continuous function of the hole (disk) radius r f in the entire range 0

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