Journal
PROCEEDINGS OF THE COMBUSTION INSTITUTE
Volume 36, Issue 3, Pages 3725-3732Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.proci.2016.06.002
Keywords
Laminar premixed flame dynamics; Equivalence ratio perturbation; Impulse response; Flame frequency response; Dispersion
Funding
- European Commission
- German Research Foundation DFG [PO 710/12-1]
- Technische Universitat Muchen, Institute for Advanced Study - German Excellence Initiative
- higher education commission (HEC) of Pakistan
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The dynamic response of conical laminar premixed flames to fluctuations of equivalence ratio is analyzed in the time domain, making use of a level set method (G-Equation). Perturbations of equivalence ratio imposed at the flame base are convected towards the flame front, where they cause modulations of flame speed, heat of reaction and flame shape. The resulting fluctuations of heat release rate are represented in closed form in terms of respective impulse response functions. The time scales corresponding to these mechanisms are identified, their contributions to the overall flame impulse response are discussed. If the impulse response functions are Laplace transformed to the frequency domain, agreement with previous results for the flame frequency response is observed. An extension of the model that accounts for dispersion of equivalence ratio fluctuations due to molecular diffusion is proposed. The dispersive model reveals the sensitivity of the premixed flame dynamics to the distance between the flame and the fuel injector. The model results are compared against numerical simulation of a laminar premixed flame. (C) 2016 by The Combustion Institute. Published by Elsevier Inc.
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