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**Harvard**

Lackmann, T., Kerstein, A., Knaus, r., hewson, j. och Oevermann, M. (2016) *Stochastic modeling of unsteady extinction in turbulent non-premixed combustion*.

** BibTeX **

@article{

Lackmann2016,

author={Lackmann, Tim and Kerstein, Alan and Knaus, robert and hewson, john and Oevermann, Michael},

title={Stochastic modeling of unsteady extinction in turbulent non-premixed combustion},

journal={Proceedings of the Combustion Institute},

issn={0082-0784},

volume={2016},

abstract={Turbulent fluctuations of the scalar dissipation rate have a major impact on extinction in non-premixed
combustion. Recently, an unsteady extinction criterion has been developed (Hewson, 2013) that predicts
extinction dependent on the duration and the magnitude of dissipation rate fluctuations exceeding a critical
quenching value; this quantity is referred to as the dissipation impulse. The magnitude of the dissipation
impulse corresponding to unsteady extinction is related to the difficulty with which a flamelet is exintguished,
based on the steady-state S-curve.
In this paper we evaluate this new extinction criterion for more realistic dissipation rates by evolving a stochas-
tic Ornstein–Uhlenbeck process for the dissipation rate. A comparison between unsteady flamelet evolution
using this dissipation rate and the extinction criterion exhibit good agreement. The rate of predicted ex-
tinction is examined over a range of Damköhler and Reynolds numbers and over a range of the extinction
difficulty. The results suggest that the rate of extinction is proportional to the average dissipation rate and
the area under the dissipation rate probability density function exceeding the steady-state quenching value. It
is also inversely related to the actual probability that this steady-state quenching dissipation rate is observed
and the difficulty of extinction associated with the distance between the upper and middle branches of the
S-curve.
},

year={2016},

keywords={Extinction; Unsteady flames; Non-premixed flame; Scalar dissipation rate; Turbulence},

}

** RefWorks **

RT Journal Article

SR Electronic

ID 239426

A1 Lackmann, Tim

A1 Kerstein, Alan

A1 Knaus, robert

A1 hewson, john

A1 Oevermann, Michael

T1 Stochastic modeling of unsteady extinction in turbulent non-premixed combustion

YR 2016

JF Proceedings of the Combustion Institute

SN 0082-0784

VO 2016

AB Turbulent fluctuations of the scalar dissipation rate have a major impact on extinction in non-premixed
combustion. Recently, an unsteady extinction criterion has been developed (Hewson, 2013) that predicts
extinction dependent on the duration and the magnitude of dissipation rate fluctuations exceeding a critical
quenching value; this quantity is referred to as the dissipation impulse. The magnitude of the dissipation
impulse corresponding to unsteady extinction is related to the difficulty with which a flamelet is exintguished,
based on the steady-state S-curve.
In this paper we evaluate this new extinction criterion for more realistic dissipation rates by evolving a stochas-
tic Ornstein–Uhlenbeck process for the dissipation rate. A comparison between unsteady flamelet evolution
using this dissipation rate and the extinction criterion exhibit good agreement. The rate of predicted ex-
tinction is examined over a range of Damköhler and Reynolds numbers and over a range of the extinction
difficulty. The results suggest that the rate of extinction is proportional to the average dissipation rate and
the area under the dissipation rate probability density function exceeding the steady-state quenching value. It
is also inversely related to the actual probability that this steady-state quenching dissipation rate is observed
and the difficulty of extinction associated with the distance between the upper and middle branches of the
S-curve.

LA eng

DO 10.1016/j.proci.2016.07.014

LK http://dx.doi.org/10.1016/j.proci.2016.07.014

OL 30