Abstract
A flat, premixed flame stabilized on a circular porous plug burner at low pressure appears as a luminous disk. As the control parameters are adjusted, methaneair and methane-oxygen mixtures produce pulsating flames that exhibit both traveling-wave and standing-wave dynamic states, and isobutane-air and propane-air flames form ordered patterns of concentric luminous rings of cells that bifurcate into dynamics states in which the cells move in collective motion. In this paper the measurement and presentation of stability boundaries are discussed for representative examples of pulsating and cellular flames.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
C.D. ANDERECK, S.S. Liu AND H.L. SWINNEY, Flow Regimes in a Circular Couette System with Independently Rotating Cylinders, J. Fluid Mech., 164, 155–183, (1986).
D. COLES, Transition in Circular Couette Flow, J. Fluid Mech., 21, 385–425, (1965).
M. EL-HAMDI, M. GORMAN, J.W. MAPP AND J.I. BLACKSHEAR, Stability Boundaries of Periodic Modes of Propagation in Burner-Stabilized Methane-Air Flames, Comb. Sci. and Technol., 55, 33–39, (1987).
M. EL-HAMDI, M. GORMAN AND K.A. ROBBINS, Deterministic Chaos in Laminar Premixed Flames: Experimental Classification of Chaotic Dynamics, in Proceedings of the International Conference on Pulsating Combustion, Comb. Sci. and Technol., 94, 87–101, (1993).
M. GORMAN, M. EL-HAMDI AND K.A. ROBBINS, Experimental Observation of Ordered States in Cellular Flames, Comb. Sci. and Technol., 98, 37–45, (1994).
M. GORMAN, M. EL-HAMDI, B. PEARSON, AND K.A. ROBBINS, Ratcheting Motion of Concentric Rings in Cellular Flames, Phys. Rev. Lett., 76, 228–231, (1996).
M. GORMAN, M. EL-HAMDI AND K.A. ROBBINS, Hopping Motion in Ordered States in Cellular Flames, Comb. Sci. and Technol., 98, 71–78, (1994).
M. GORMAN. M. EL-HAMDI AND K.A. ROBBINS, Chaotic Dynamics Near the Extinction Limit of a Pulsating Mode of a Premixed Flame on a Porous Plug Burner, Comb. Sci. and Technol., 98, 47–56, (1994).
M. GORMAN, M. EL-HAMDI, AND K.A. ROBBINS, Four Types of Chaotic Dynamics in Cellular Flames, Comb. Sci. and Technol., 98, 79–93, (1996).
M. GORMAN, C.F. HAMILL, M. EL-HAMDI AND K.A. ROBBINS, Rotating and Modulated Rotating States in Cellular Flames, Comb. Sci. and Technol., 98, 25–35, (1994).
E.L. KOSCHMEIDER, BARD CELLS AND TAYLOR VORTICES, Cambridge, New York, 1993.
A. PALACIOS, G.H. GUNARATNE, M. GORMAN AND K.A. ROBBINS, Cellular Pattern Formation in Circular Domains, Chaos, 7, 463–475, (1997).
A. PALACIOS, G.H. GUNARATNE, M. GORMAN AND K.A. ROBBINS, A Karhunen-Loeve Analysis of Spatiotemporal Flame Patterns, Phys. Rev. E, 57, 5958–5971, (1998).
A. PALACIOS, M. GORMAN, AND G.H. GUNARATNE, Modal Decomposition of Hopping States in Cellular Flames, Chaos, submitted.
E. STONE, M. GORMAN, M. EL-HAMDI AND K.A. ROBBINS, Identification of Intermittent Ordered Patterns as Heteroclinic Connections, Phys. Rev. Lett., 76, 2061–2064, (1996).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer Science+Business Media New York
About this chapter
Cite this chapter
Gorman, M. (1999). Stability Boundaries of the Dynamic States in Pulsating and Cellular Flames. In: Golubitsky, M., Luss, D., Strogatz, S.H. (eds) Pattern Formation in Continuous and Coupled Systems. The IMA Volumes in Mathematics and its Applications, vol 115. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1558-5_8
Download citation
DOI: https://doi.org/10.1007/978-1-4612-1558-5_8
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-7192-5
Online ISBN: 978-1-4612-1558-5
eBook Packages: Springer Book Archive