### Abstract

The largest hydrogen-air explosion in the open atmosphere is analysed using large eddy simulation (LES) with two combustion models. The first model is based on the analysis of flame front self-induced turbulence by Karlovitz with a maximum augmentation of the stoichiometric hydrogen-air burning velocity of 3.6. Flame front wrinkling due to flow turbulence is modelled using a combustion model based on the renormalization group theory. The second approach uses fractal theory and increases the burning rate with radius as R^{1/3}. The first model provided a nearly constant flame velocity after initial acceleration, contradictory to theory and experiments. The second model provided better agreement with experiment on flame radius and acceleration, but overestimated the pressure wave peak in the positive phase. Analysis of the results demonstrates that the theoretical value of the fractal dimension D = 2.33 in the simulations could be reduced, particularly due to partial resolution of flame front wrinkling by LES.

Language | English |
---|---|

Pages | 401-416 |

Number of pages | 16 |

Journal | Combustion Science and Technology |

Volume | 179 |

Issue number | 1-2 |

DOIs | |

Publication status | Published - 1 Jan 2007 |

### Fingerprint

### Keywords

- Explosion
- Fractal analysis
- Large-eddy simulation

### Cite this

*Combustion Science and Technology*,

*179*(1-2), 401-416. https://doi.org/10.1080/00102200600835626

}

*Combustion Science and Technology*, vol. 179, no. 1-2, pp. 401-416. https://doi.org/10.1080/00102200600835626

**Comparison between RNG and fractal combustion models for LES of unconfined explosions.** / Makarov, D.; Molkov, V.; Gostintsev, Yu.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Comparison between RNG and fractal combustion models for LES of unconfined explosions

AU - Makarov, D.

AU - Molkov, V.

AU - Gostintsev, Yu

PY - 2007/1/1

Y1 - 2007/1/1

N2 - The largest hydrogen-air explosion in the open atmosphere is analysed using large eddy simulation (LES) with two combustion models. The first model is based on the analysis of flame front self-induced turbulence by Karlovitz with a maximum augmentation of the stoichiometric hydrogen-air burning velocity of 3.6. Flame front wrinkling due to flow turbulence is modelled using a combustion model based on the renormalization group theory. The second approach uses fractal theory and increases the burning rate with radius as R1/3. The first model provided a nearly constant flame velocity after initial acceleration, contradictory to theory and experiments. The second model provided better agreement with experiment on flame radius and acceleration, but overestimated the pressure wave peak in the positive phase. Analysis of the results demonstrates that the theoretical value of the fractal dimension D = 2.33 in the simulations could be reduced, particularly due to partial resolution of flame front wrinkling by LES.

AB - The largest hydrogen-air explosion in the open atmosphere is analysed using large eddy simulation (LES) with two combustion models. The first model is based on the analysis of flame front self-induced turbulence by Karlovitz with a maximum augmentation of the stoichiometric hydrogen-air burning velocity of 3.6. Flame front wrinkling due to flow turbulence is modelled using a combustion model based on the renormalization group theory. The second approach uses fractal theory and increases the burning rate with radius as R1/3. The first model provided a nearly constant flame velocity after initial acceleration, contradictory to theory and experiments. The second model provided better agreement with experiment on flame radius and acceleration, but overestimated the pressure wave peak in the positive phase. Analysis of the results demonstrates that the theoretical value of the fractal dimension D = 2.33 in the simulations could be reduced, particularly due to partial resolution of flame front wrinkling by LES.

KW - Explosion

KW - Fractal analysis

KW - Large-eddy simulation

UR - http://www.scopus.com/inward/record.url?scp=33845664048&partnerID=8YFLogxK

U2 - 10.1080/00102200600835626

DO - 10.1080/00102200600835626

M3 - Article

VL - 179

SP - 401

EP - 416

JO - Combustion Science and Technology

T2 - Combustion Science and Technology

JF - Combustion Science and Technology

SN - 0010-2202

IS - 1-2

ER -