Stochastic modeling of unsteady extinction in turbulent non-premixed combustion
Artikel i vetenskaplig tidskrift, 2017

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.


Unsteady flames

Non-premixed flame

Scalar dissipation rate



Tim Lackmann

Chalmers, Tillämpad mekanik, Förbränning och framdrivningssystem

John Hewson

Sandia National Laboratories

robert Knaus

Sandia National Laboratories

Alan Kerstein

Sandia National Laboratories

Michael Oevermann

Chalmers, Tillämpad mekanik, Förbränning och framdrivningssystem

Proceedings of the Combustion Institute

15407489 (ISSN)

Vol. 2016 2 1677-1684


Annan teknik

Strömningsmekanik och akustik



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