Flame Propagation in Tubes: Hydrodynamics and Stability

Zel’dovich, Ya. B.; Istratov, A. G.; Kidin, N. I.; Librovich, V. B.

doi:10.1016/b978-0-08-092523-3.50050-2

Cited by 17 publications

(27 citation statements)

References 4 publications

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“…In addition, this is 'tl1e"ohlf analytical procedure known to us to improve the accuracy of our non-linear results, besides the numerical integration of the original hydrodynamic equation or their numerical simulation based on lattice-gas models 1986): indeed, owing to the vorticity shown to exist in the upstream flow, the approximate method of Zel'dovich et al (1980) and the potential flow model proposed by Sivashinsky and Clavin (1986) do not apply to our problem. It has to be noticed, however, that an extension of the small-wavenumber-expansion method summerized in Clavin (1985) is likely to work well for any y< 1, as far as a linear stability analysis is concerned.…”

Section: Conclusion-perspectivesmentioning

confidence: 94%

“…Thi s prevented us from using the method proposed by Zel'dovich et al (1980)-and later generalized by Peke (1985) to include gravity-to compute approximately the shape(s) that the flame exhibits once the hydrodynamic instability is fully developed, since the method uses the condition curl u = 0 explicitly to approximate the upstream flow.…”

Section: Non-linear Dynamicsmentioning

confidence: 98%

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On the Hydrodynamic Stability of Flat-burner Flames

Joulin

1987

Combustion Science and Technology

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Section: Conclusion-perspectivesmentioning

confidence: 94%

Section: Non-linear Dynamicsmentioning

confidence: 98%

On the Hydrodynamic Stability of Flat-burner Flames

Joulin

1987

Combustion Science and Technology

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“…As such, it exhibits behavior similar to the other systems mentioned so far. Several studies have been done on the stability of planar, curved and cellular flames (Zeldovich, et al, 1980, Sivashinsky, 1977, Michelson and Sivashinsky, 1977, Kevrekidis, et al, 1990. The structure of cellular flames was illustrated experimentally by Markstein (1951) in a series of photographs which show different size cells for different flame conditions.…”

Section: Introductionmentioning

confidence: 98%

Pattern Formation in Solid Film Growth During CVD

Thiart

Orlicki

Hlaváček

1996

Chemical Engineering Communications

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This paper deals with the evolution of a gas-solid interface during growth of amorphous CVD films. The aim of the analysis is to show that a comprehensive gas-solid CVD model may simplify significantly under conditions of two limiting cases: kinetic and diffusion-limited growth. The linear stability behavior of the simplified model was found to be almost identical to that of the original and more comprehensive model. It was found that planar film growth was inherently stable under kinetically controlled deposition conditions, but under diffusion-limited conditions, planar film stability depended on the magnitude of the dimensionless group gPe, which represents a Damkohler number of deposition. Numerical solution of the simplified model showed that an increase in 3Pez adversely affected the uniformity of film deposition. Predicted morphological phenomena were found to be very similar to experimental observations .

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“…His work led to a mushroom-shaped flame. Zel'dovich et al [3,4] studied the stability of the mushroom-shaped flame propagating in tubes and pointed out that the mushroom-shaped flame is much more stable than the planar flame because of the nonlinear stabilizing effects.…”

Section: Introductionmentioning

confidence: 98%

Propagation and quenching of premixed flames in narrow channels

Song

Ding

et al. 2006

Combust Explos Shock Waves

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The shape and propagation of unsteady premixed flames in narrow channels with adiabatic and isothermal walls are numerically investigated in the present study. The flame chemistry is modelled by an one-step overall reaction, which simulates the reaction of a stoichiometric acetylene-air mixture. The numerical results show that both ignition methods and thermal boundary conditions affect flame formation and its shape. The flame keeps a single tulip shape in the whole process of propagating through the channel if plane ignition is used and a single mushroom shape if spark ignition is used. For isothermal cold walls, the flame cannot keep a single tulip shape or mushroom shape all the time. Under plane ignition, a transition from a tulipshaped flame to a mushroom-shaped flame occurs as flames propagate from one end of channel to the other. Under spark ignition, the process is just the contrary. It is also shown that the heat loss at the cold walls has a dual effect on the formation of a tulip-shaped flame. Flame propagation and quenching in narrow channels of different heights are analyzed systematically, and a criterion is proposed to judge the flame states of partial extinction and total extinction. It is called the criterion of flame propagation and quenching in narrow channels.

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Flame Propagation in Tubes: Hydrodynamics and Stability

Cited by 17 publications

References 4 publications

On the Hydrodynamic Stability of Flat-burner Flames

On the Hydrodynamic Stability of Flat-burner Flames

Pattern Formation in Solid Film Growth During CVD

Propagation and quenching of premixed flames in narrow channels

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