1997
DOI: 10.1016/s0010-2180(97)00082-5
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Characteristics of flame propagation in a vortex core: Validity of a model for flame propagation

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Cited by 43 publications
(11 citation statements)
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“…To prevent the induced velocity from diverging, the cut-off radii of the discrete vortex and source, σ and σs, are introduced, and the induced velocities are set to be constant in the cases of σ, σs ≥ |Z − Z j |. 1 and 2 indicate that the summation is performed for the cases of σ, σs < |Z − Z j | and σ, σs ≥ |Z − Z j |, respectively. Movement of the i-th vortex due to the mean convection is performed in the Lagrangian manner after estimating the induced velocity from the complex velocity potential, whereas the Euler method is applied for the integration with respect to the time, as given by the following sets of expressions,…”
Section: Governing Equations or Discrete Vortex Analysis And Source Cmentioning
confidence: 99%
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“…To prevent the induced velocity from diverging, the cut-off radii of the discrete vortex and source, σ and σs, are introduced, and the induced velocities are set to be constant in the cases of σ, σs ≥ |Z − Z j |. 1 and 2 indicate that the summation is performed for the cases of σ, σs < |Z − Z j | and σ, σs ≥ |Z − Z j |, respectively. Movement of the i-th vortex due to the mean convection is performed in the Lagrangian manner after estimating the induced velocity from the complex velocity potential, whereas the Euler method is applied for the integration with respect to the time, as given by the following sets of expressions,…”
Section: Governing Equations or Discrete Vortex Analysis And Source Cmentioning
confidence: 99%
“…Many models for the vortex bursting mechanism have been proposed [1,5,12,20,21,31] based on the active experimental and numerical investigations. However, they have been carried out using a single propagating flame either in a single premixed vortex tube or in a single premixed vortex puff.…”
Section: Introductionmentioning
confidence: 99%
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“…However, the advantages of PDEs, such as their simplicity and low weight, are lost if devices such as a predetonator and an additional igniter are added. To control the DDT distance without using additional ignition energy and adding sophisticated, heavy structures such as a predetonator, efforts have been undertaken to apply the vortex flow (VF) injection concept to the injection part of a PDE, because the flame can propagate very quickly in a VF, depending on the rotation velocity [6][7][8][9][10] . In these studies, the DDT distance was shortened by 15-43%, compared with that of a counterflow injector, when a VF injector was used.…”
Section: Introductionmentioning
confidence: 99%