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The effect of thermal expansion on diffusion flame instabilities†

Published online by Cambridge University Press:  18 March 2010

M. MATALON  and
P. METZENER
M. MATALON*
Affiliation:
Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA
P. METZENER
Affiliation:
Faculté des Sciences de Base, Ecole Polytechnique Fédérale de Lausanne, 1015 Lausanne, Switzerland
*
‡Email address for correspondence: matalon@illinois.edu
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Abstract

In this paper we examine the effect of thermal expansion on the stability of a planar unstrained diffusion flame and provide a comprehensive characterization of diffusive-thermal instabilities while realistically accounting for density variations. The possible patterns that are likely to be observed as a result of differential and preferential diffusion are identified for a whole range of parameters including the distinct Lewis numbers associated with the fuel and oxidizer, the initial mixture strength and the flow conditions. Although we find that thermal expansion has a marked influence on flame instability, it does not play a crucial role as it does in premixed combustion. It primarily affects the parameter regime associated with the onset of the instabilities and the growth rate of the unstable modes. Perhaps the most surprising result is that its has a different influence on the various modes of instability – a destabilizing influence on the formation of cellular structures and a stabilizing influence on the onset of oscillations.

Information

Type
Papers
Information
Journal of Fluid Mechanics , Volume 647: Dedicated to Professor S. H. Davis on his 70th birthday , 25 March 2010 , pp. 453 - 472
Copyright
Copyright © Cambridge University Press 2010

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Footnotes

†

This paper is dedicated to Steve H. Davis on the occasion of his 70th birthday. As former Colleague (M. Matalon) and Postdoctoral Associate (P. Metzener) we are both indebted to Steve for his friendship and mentorship.

References

REFERENCES

Burke, S. P. & Schumann, T. E. W. 1928 Diffusion flames. Ind. Engng Chem. 20, 998.CrossRefGoogle Scholar
Chan, W. & Tien, J. S. 1979 An experiment on spontaneous flame oscillation prior to extinction. Combust. Sci. Technol. 18, 139–143.CrossRefGoogle Scholar
Cheatham, S. & Matalon, M. 2000 A general asymptotic theory of diffusion flames with application to cellular instability. J. Fluid Mech. 414, 105–144.CrossRefGoogle Scholar
Chen, R., Mitchell, G. B. & Ronney, P. D. 1992 Diffusive-thermal instability and flame extinction in nonpremixed combustion. Proc. Combust. Inst. 24, 213–221.CrossRefGoogle Scholar
Darrieus, G. 1938 Propagation d'un front de flamme. Presented at La Technique Moderne, Paris.Google Scholar
Dongworth, M. R. & Melvin, A. 1976 The transition to instability in a steady hydrogen–oxygen diffusion flame. Combust. Sci. Technol. 14, 177–182.CrossRefGoogle Scholar
Füri, M., Papas, P. & Monkewitz, P. A. 2000 Nonpremixed jet flame pulsations near extinction. Proc. Combust. Inst. 28, 831–838.CrossRefGoogle Scholar
Gardside, J. E. & Jackson, B. 1951 Polyhedral diffusion flames. Nature 168, 1085–1085.CrossRefGoogle Scholar
Golovanevsky, B., Levy, Y., Greenberg, J. B. & Matalon, M. 1999 On the oscillatory behaviour of laminar spray diffusion flames: experiment and theory. Combust. Flame 117, 373–383.CrossRefGoogle Scholar
Ishizuka, S. & Tsuji, H. 1981 An experimental study of effect of inert gases on extinction of laminar diffusion flames. Proc. Combust. Inst. 18, 695–703.CrossRefGoogle Scholar
Kim, J. S., Williams, F. A. & Ronney, P. D. 1996 Diffusional-thermal instability of diffusion flames. J. Fluid Mech. 327, 273–301.CrossRefGoogle Scholar
Kukuck, S. & Matalon, M. 2001 The onset of oscillations in diffusion flames. Combust. Theory Modelling 5, 217–240.CrossRefGoogle Scholar
Landau, L. D. 1944 On the theory of slow combustion. Acta Physicochim. USSR 19, 77–85.Google Scholar
Liñán, A. 1974 The asymptotic structure of counterflow diffusion flames for large activation energies. Acta Astronaut. 2, 1009.Google Scholar
Lo Jacono, D. & Monkewitz, P. A. 2007 Scaling of cell size in cellular instabilities of non-premixed jet flames. Combust. Flame. 151 (1–2), 321–332.Google Scholar
Lo Jacono, D., Papas, P., Matalon, M. & Monkewitz, P. A. 2005 An experimental realization of an unstrained planar diffusion flame. Proc. Combust. Inst. 30, 501–509.CrossRefGoogle Scholar
Lo Jacono, D., Papas, P. & Monkewitz, P. A. 2003 On the formation of cellular instabilities in non-premixed jet flames. Combust. Theory Modelling 7, 634–644.CrossRefGoogle Scholar
Metzener, P. & Matalon, M. 2006 Diffusive-thermal instabilities of diffusion flames: onset of cells and oscillations. Combust. Theory Modelling 10 (4), 701–725.CrossRefGoogle Scholar
Miklavcic, M., Moore, A. B. & Wichman, I. S. 2005 Oscillations and island evolution in radiating diffusion fames. Combust. Theory Modelling 9, 403–416.CrossRefGoogle Scholar
Robert, E. 2008 Experimental investigation of unstrained diffusion flames and their instabilities. PhD thesis, Ecole Polytechnique Federale de Lausanne, Lausanne.Google Scholar
Robert, E. & Monkewitz, P. A. 2009 Experiments in a novel quasi-1d diffusion flame with variable bulk flow. Proc. Combust. Inst. 32, 987–994.CrossRefGoogle Scholar
Ross, H., Sotos, R. G. & T'ien, J. S. 1991 Observations of candle flames under various atmospheres in microgravity. Combust. Sci. Technol. 75, 155–160.CrossRefGoogle Scholar
Ross, H. D. 1994 Ignition of and flame spread over laboratory-scale pools of pure liquid fuels. Prog. Energy Combust. Sci. 20 (1), 17–64.CrossRefGoogle Scholar
Schiller, D. N., Ross, H. D. & Sirignano, W. A. 1996 Computational analysis of flame spread across alcohol pools. Combust. Sci. Technol. 118, 203–255.Google Scholar
Vance, R., Miklavcic, M. & Wichman, I. S. 2001 On stability of one-dimensional diffusion fames. Combust. Theory Modelling 5, 147–162.Google Scholar