### Abstract

A model involving a scalar reaction-diffusion equation with piecewise linear reaction rates and linear incompressible flow fields is developed to study the validity of Huygens principle at large scales in premixed combustion. This model includes both dependence on the reaction term and the velocity field. For plane fronts aligned with the direction of expansive strain and KPP regime, theory predicts strong violation of Huygens principle chemistry, and this is shown to persist in dramatic fashion throughout the ZFK regime, even at high activation energies. If the front is aligned with a direction of compressive strain, Huygens principle yields an excellent approximation with ZFK chemistry. For a more general rotating strain flow with ZFK chemistry, the Huygens principle significantly underpredicts the large scale flame propagation velocity in consistent fashion with the example involving expansive strain. For backward reactions or at the boundary of the ZFK regime, Huygens principle is always excellent for any large scale flow geometry.

Original language | English (US) |
---|---|

Pages (from-to) | 273-303 |

Number of pages | 31 |

Journal | Combustion Science and Technology |

Volume | 120 |

Issue number | 1-6 |

State | Published - 1996 |

### Fingerprint

### Keywords

- Huygens principle
- Premixed large scale combustion

### ASJC Scopus subject areas

- Chemical Engineering(all)
- Fluid Flow and Transfer Processes
- Physical and Theoretical Chemistry
- Energy Engineering and Power Technology
- Fuel Technology
- Engineering (miscellaneous)

### Cite this

*Combustion Science and Technology*,

*120*(1-6), 273-303.

**Examples and counterexamples for huygens principle in premixed combustion.** / Embid, Pedro F.; Majda, Andrew J.; Souganidis, Panagiotis E.

Research output: Contribution to journal › Article

*Combustion Science and Technology*, vol. 120, no. 1-6, pp. 273-303.

}

TY - JOUR

T1 - Examples and counterexamples for huygens principle in premixed combustion

AU - Embid, Pedro F.

AU - Majda, Andrew J.

AU - Souganidis, Panagiotis E.

PY - 1996

Y1 - 1996

N2 - A model involving a scalar reaction-diffusion equation with piecewise linear reaction rates and linear incompressible flow fields is developed to study the validity of Huygens principle at large scales in premixed combustion. This model includes both dependence on the reaction term and the velocity field. For plane fronts aligned with the direction of expansive strain and KPP regime, theory predicts strong violation of Huygens principle chemistry, and this is shown to persist in dramatic fashion throughout the ZFK regime, even at high activation energies. If the front is aligned with a direction of compressive strain, Huygens principle yields an excellent approximation with ZFK chemistry. For a more general rotating strain flow with ZFK chemistry, the Huygens principle significantly underpredicts the large scale flame propagation velocity in consistent fashion with the example involving expansive strain. For backward reactions or at the boundary of the ZFK regime, Huygens principle is always excellent for any large scale flow geometry.

AB - A model involving a scalar reaction-diffusion equation with piecewise linear reaction rates and linear incompressible flow fields is developed to study the validity of Huygens principle at large scales in premixed combustion. This model includes both dependence on the reaction term and the velocity field. For plane fronts aligned with the direction of expansive strain and KPP regime, theory predicts strong violation of Huygens principle chemistry, and this is shown to persist in dramatic fashion throughout the ZFK regime, even at high activation energies. If the front is aligned with a direction of compressive strain, Huygens principle yields an excellent approximation with ZFK chemistry. For a more general rotating strain flow with ZFK chemistry, the Huygens principle significantly underpredicts the large scale flame propagation velocity in consistent fashion with the example involving expansive strain. For backward reactions or at the boundary of the ZFK regime, Huygens principle is always excellent for any large scale flow geometry.

KW - Huygens principle

KW - Premixed large scale combustion

UR - http://www.scopus.com/inward/record.url?scp=0040134013&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0040134013&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0040134013

VL - 120

SP - 273

EP - 303

JO - Combustion Science and Technology

JF - Combustion Science and Technology

SN - 0010-2202

IS - 1-6

ER -