The effect of pressure on the hydrodynamic stability limit of premixed flames

A. Attili, R. Lamioni, L. Berger, K. Kleinheinz, P. E. Lapenna, H. Pitsch, F. Creta

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

The effect of pressure on the hydrodynamic stability limits of lean methane–air premixed flames is investigated with Direct Numerical Simulation based on multi-step chemistry and using a simplified one-step chemistry formulation. The dependency on pressure p of the cut-off length scale λc, that separates stable from unstable wavelengths of the initial perturbation, is computed for a number of different conditions. An increase of pressure causes a significant decrease of the cut-off length, as observed already in previous simulations and experiments. However, this decrease cannot be ascribed only to the decreased flame thickness due to elevated pressures, but the cut-off is reduced significantly even if normalized by either the thermal flame thickness ℓT or the diffusive flame thickness ℓD. For the conditions analyzed, the cut-off can be well approximated by the power-law while the thermal and diffusive flame thicknesses, in accordance with previous experiments, are proportional and scale as . Therefore, the non-dimensional cut-off scales as . This behavior is linked to the increase of the Zeldovich number with pressure, caused by higher inner layer temperatures at higher pressures, which is a result of increased importance of chain termination reactions. The same behavior is observed also in a one-step chemistry approach if the Zeldovich number, appearing explicitly in the one-step model equations, is varied with pressure according to the results from multi-step chemistry. The analysis is extended to the non-linear phase of the instability, when typical strong cusps are observed on the flame surface, simulating a two-dimensional slot burner for different pressures; it is confirmed that the same pressure effects are observed also in more complex settings and in the non-linear regime.
Original languageUndefined/Unknown
Pages (from-to)1973-1981
JournalProceedings of the Combustion Institute
Issue number2
Early online date5 Aug 2020
Publication statusE-pub ahead of print - 5 Aug 2020

Keywords / Materials (for Non-textual outputs)

  • Darrieus–Landau instability
  • Direct Numerical Simulation
  • Cut-off scale
  • Pressure effects

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