The cellular nature of confined spherical propane-air flames

Groff, Edward G.

doi:10.1016/0010-2180(82)90115-8

Cited by 134 publications

(60 citation statements)

References 12 publications

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“…As the flame propagated, cracks increased and then the flame became cellular. Cellular flame structure (26) developed earlier in such cases (27) . Especially, the flame with the negative Markstein number was cellular soon after the ignition.…”

Section: Transition To Cellular Flamementioning

confidence: 91%

Effects of Pressure on Burning Velocity and Instabilities of Propane-Air Premixed Flames

Kitagawa

2005

JSME international journal. Ser. B, Fluids and thermal engineer

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Spherically propagating laminar flames at elevated pressures in a large volume bomb were studied for propane-air mixtures. The effects of the initial mixture pressure on the burning velocity and flame instabilities were investigated varying the initial pressure from 0.10 to 0.50 MPa. The Markstein number decreased with the increase in the initial pressure. The burning velocities at elevated pressures are affected not only by the change in the unstretched burning velocity but also by the variation in the Markstein number, or the variation in the sensitivity of the burning velocity to the flame stretch. The flame with a low Markstein number was unstable. Cellular flame structure developed earlier in such cases. Cellular structure accelerated the flame propagation. The burning velocity was affected by the flame instabilities in addition to the above two factors.

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Section: Transition To Cellular Flamementioning

confidence: 91%

Effects of Pressure on Burning Velocity and Instabilities of Propane-Air Premixed Flames

Kitagawa

2005

JSME international journal. Ser. B, Fluids and thermal engineer

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“…Finally, the continuously changing temperature and pressure of the unburned mixture imposes significant challenge in the accuracy of data reduction. Groff [4] first measured spherical flame speeds at high pressures, up to 5 atm, by directly imaging the propagating flame front and also through pressure measurements. Lately, Taylor and coworkers [5][6][7] and Faeth and coworkers [8][9][10][11][12][13] determined val-0 s u ues for various fuel compositions and pressures through systematic subtraction of stretch effects using similar imaging techniques.…”

Section: Introductionmentioning

confidence: 99%

Morphology and burning rates of expanding spherical flames in H2/O2/inert mixtures up to 60 atmospheres

Tse

Zhu

Law

2000

Proceedings of the Combustion Institute

324

143

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Recognizing that previous experimental studies on constant-pressure, outwardly propagating, spherical flames with imaging capability were limited to pressures less than about 5 atm, and that pressures within internal combustion engines are substantially higher, a novel experimental apparatus was designed to extend the environmental pressure to 60 atm. Results substantiate previous observations of the propensity of cell formation over the flame surface due to hydrodynamic and diffusive-thermal instabilities and provide convincing evidence that wrinkled flame is the preferred mode of propagation in hydrogen/air mixtures in environments with pressures above only a few atmospheres. It is further shown that, by using helium as the diluent, and by reducing the oxygen concentration of the combustible, diffusional-thermal instability can be mostly suppressed and the hydrodynamic instability delayed. Stretch-free laminar flame speeds were subsequently determined for such smooth flames up to 20 atm and were compared with the calculated values, allowing for detailed chemistry and transport.

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“…ondary structures which have been observed experimentally on the propagating fronts of sufficiently large flames [10,11].…”

mentioning

confidence: 99%

“…The appearance of new "cusps" in the computations [5,9] results from the limitations of the numerics. To describe mathematically the experimental observation, specific to large flames [10,11], new models need to be derived. Sivashinsky and co-workers [7,8], on the other hand, argue that the inconsistencies with the pole-decomposition theory lie in the stability of the exact pole solutions.…”

mentioning

confidence: 99%

Stability of Pole Solutions for Planar Propagating Flames: I. Exact Eigenvalues and Eigenfunctions

Vaynblat¹,

Matalon²

2000

SIAM J. Appl. Math.

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Abstract.It is well known that the nonlinear PDE describing the dynamics of a hydrodynamically unstable planar flame front admits exact pole solutions as equilibrium states. Such a solution corresponds to a steadily propagating cusp-like structure commonly observed in experiments. In this work we investigate the linear stability of these equilibrium states-the steady coalescent pole solutions. In previous similar studies, either a truncated linear system was numerically solved for the eigenvalues or the initial value problem for the linearized PDE was numerically integrated in order to examine the evolution of initially small disturbances in time. In contrast, our results are based on the exact analytical expressions for the eigenvalues and corresponding eigenfunctions. In this paper we derive the expressions for the eigenvalues and eigenfunctions. Their properties and the implication on the stability of pole solutions is discussed in a paper which will appear later.

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The cellular nature of confined spherical propane-air flames

Cited by 134 publications

References 12 publications

Effects of Pressure on Burning Velocity and Instabilities of Propane-Air Premixed Flames

Effects of Pressure on Burning Velocity and Instabilities of Propane-Air Premixed Flames

Morphology and burning rates of expanding spherical flames in H2/O2/inert mixtures up to 60 atmospheres

Stability of Pole Solutions for Planar Propagating Flames: I. Exact Eigenvalues and Eigenfunctions

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