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Physics of Fluids / Volume 22 / Issue 12 / ARTICLES / Instability and Transition

Phys. Fluids 22, 124102 (2010); http://dx.doi.org/10.1063/1.3525358 (7 pages)

Observation and regime classification of pulsation patterns in expanding spherical flames

G. Jomaas and C. K. Law

Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, New Jersey 08544, USA

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(Received 15 October 2010; accepted 10 November 2010; published online 7 December 2010)

The development of pulsating instability in expanding spherical premixed flames was experimentally studied, leading to the observation and quantification of spiral waves and target patterns over the flame surfaces in rich hydrogen-air, rich hydrogen-oxygen, and lean butane-oxygen-helium mixtures at elevated pressures. The transition boundary to instability was found to agree well with the Sivashinsky criterion, Ze(Le−1)>4(1+math) ≈ 10.9, provided that local values are used in the evaluation of the Zel’dovich number, Ze, and the Lewis number, Le. The similarities to observations on Belousov–Zhabotinsky-reactions are noteworthy, and the present results provide new insights into the appearance order of various reactive-diffusive patterns on the reactive surface while transitioning from the stable domain into the unstable domain.

© 2010 American Institute of Physics

Article Outline

  1. INTRODUCTION
  2. FLAME MORPHOLOGY
    1. Bulk oscillation
    2. Target patterns
    3. Spiral waves
    4. Disordered spiral waves
    5. Extinction
  3. EMPIRICAL REGIME DIAGRAM
    1. Hydrogen-air flames
    2. Hydrogen-oxygen flames
    3. Butane-oxygen-helium flames
  4. COMPARISON WITH SIVASHINSKY CRITERION
  5. CONCLUDING REMARKS

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KEYWORDS and PACS

Keywords

chemically reactive flow, combustion, flames, flow instability, hydrogen, pulsatile flow, waves

PACS

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.3525358

PUBLICATION DATA

ISSN

1070-6631 (print)  
1089-7666 (online)

Publisher

$abstract.society.value is a Member of CrossRef American Institute of Physics

For access to fully linked references, you need to log in.
    H. G. Pearlman and P. D. Ronney, “Near-limit behavior of high-Lewis number premixed flames in tubes at normal and low gravity,” Phys. Fluids 6, 4009 (1994)PHFLE6000006000012004009000001.

    H. G. Pearlman and P. D. Ronney, “Self-organized spiral and circular waves in premixed gas flames,” J. Chem. Phys. 101, 2632 (1994)JCPSA6000101000003002632000001.

    S. D. Tse, D. L. Zhu, and C. K. Law, “Optically accessible high pressure combustion apparatus,” Rev. Sci. Instrum. 75, 233 (2004)RSINAK000075000001000233000001.

    M. Hendrey, K. Nam, P. Guzdar, and E. Ott, “Target waves in the complex Ginzburg-Landau equation,” Phys. Rev. E 62, 7627 (2000).

    G. Li, Q. Ouyang, V. Petrov, and H. L. Swinney, “Transition from simple rotating spirals to meandering and traveling spirals,” Phys. Rev. Lett. 77, 2105 (1996).

    B. Vasiev, F. Siegert, and C. Weijer, “Multiarmed spirals in excitable media,” Phys. Rev. Lett. 78, 2489 (1997).


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