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Phys. Fluids 22, 053606 (2010); http://dx.doi.org/10.1063/1.3425646 (14 pages)

Analysis of flame acceleration induced by wall friction in open tubes

V’yacheslav Akkerman1, Chung K. Law1, Vitaly Bychkov2, and Lars-Erik Eriksson3

1Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, New Jersey 08544-5263, USA
2Department of Physics, Umeå University, 901 87 Umeå, Sweden
3Department of Applied Mechanics, Chalmers University of Technology, 412 96 Gothenburg, Sweden

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(Received 2 April 2009; accepted 31 March 2010; published online 26 May 2010)

Spontaneous flame acceleration leading to explosion triggering in open tubes/channels due to wall friction was analytically and computationally studied. It was first demonstrated that the acceleration is affected when the thermal expansion across the flame exceeds a critical value depending on the combustion configuration. For the axisymmetric flame propagation in cylindrical tubes with both ends open, a theory of the initial (exponential) stage of flame acceleration in the quasi-isobaric limit was developed and substantiated by extensive numerical simulation of the hydrodynamics and combustion with an Arrhenius reaction. The dynamics of the flame shape, velocity, and acceleration rate, as well as the velocity profile ahead and behind the flame, have been determined.

© 2010 American Institute of Physics

Article Outline

  1. INTRODUCTION
  2. CRITERION FOR FLAME ACCELERATION
  3. THEORY OF FLAME ACCELERATION IN OPEN CYLINDRICAL TUBES
    1. Flame-generated flow
    2. Flame shape and velocity
  4. DIRECT NUMERICAL SIMULATIONS
  5. RESULTS AND DISCUSSION
  6. SUMMARY

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

For access to fully linked references, you need to log in.
    V. Bychkov, “Analytical scalings for flame interaction with sound waves,” Phys. Fluids 11, 3168 (1999)PHFLE6000011000010003168000001.

    V. Bychkov, A. Petchenko, V. Akkerman, and L. E. Eriksson, “Theory and modeling of accelerating flames in tubes,” Phys. Rev. E 72, 046307 (2005).

    V. Bychkov, D. Valiev, and L. E. Eriksson, “Physical mechanism of ultrafast flame acceleration,” Phys. Rev. Lett. 101, 164501 (2008).

    A. Petchenko, V. Bychkov, V. Akkerman, and L. E. Eriksson, “Violent folding of a flame front in a flame-acoustic resonance,” Phys. Rev. Lett. 97, 164501 (2006).

    D. Valiev, V. Bychkov, V. Akkerman, and L. E. Eriksson, “Different stages of flame acceleration from slow burning to Chapman–Jouguet deflagration,” Phys. Rev. E 80, 036317 (2009).

    V. Bychkov, V. Akkerman, D. Valiev, and C. K. Law, “Role of compressibility in moderating flame acceleration in tubes,” Phys. Rev. E 81, 026309 (2010).


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