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Influence of Hydrodynamic Instability on the Heat Release Transfer Function of Premixed Flames

[+] Author Affiliations
Daniel Hartmann, Wolfgang Schröder, Santosh Hemchandra

RWTH Aachen University, Aachen, Germany

Paper No. GT2010-22848, pp. 709-717; 9 pages
doi:10.1115/GT2010-22848
From:
  • ASME Turbo Expo 2010: Power for Land, Sea, and Air
  • Volume 2: Combustion, Fuels and Emissions, Parts A and B
  • Glasgow, UK, June 14–18, 2010
  • Conference Sponsors: International Gas Turbine Institute
  • ISBN: 978-0-7918-4397-0 | eISBN: 978-0-7918-3872-3
  • Copyright © 2010 by ASME

abstract

Gas expansion across the premixed flame surface causes deformations induced on the flame surface to grow in time due to hydrodynamical coupling between the unsteady flow and flame surface motions. This phenomenon is the well known hydro-dynamical instability (also know as the Darrieus-Landau (D-L) instability) of premixed flames. It is well established from several experimental studies that premixed flames subject to acoustic forcing distort and wrinkle under the influence of the unsteady velocity field generated by the forcing, thereby, changing its surface area and causing the net heat-release rate of the flame to oscillate. The D-L instability mechanism influences this heat-release oscillation through its influence on the underlying flame surface wrinkling. An understanding of this mechanism is necessary to develop reliable reduced-order modelling tools to predict the onset of combustion instabilities in Lean Premixed (LPM) systems. This paper presents a computational study of the influence of the D-L instability on the heat release transfer function of premixed flames subjected to harmonic velocity forcing. The effect of varying Markstein length and gas temperature ratio is presented. It is shown that when the induced flame surface perturbations are unstable w.r.t the D-L instability, the net heat release response is dominated by the oscillation in total burning area. In the stable case, the net response is due to the resultant of contributions from the net burning area oscillation as well as the area-averaged mass burning rate oscillation induced by unsteady spatial variations in laminar flame speed, sL . The boundary between these two response regimes is determined by the Markstein number for which flame surface perturbations are neutrally stable.

Copyright © 2010 by ASME

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