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Numerical study of the direct pressure effect of acoustic waves in planar premixed flames

Please always quote using this URN: urn:nbn:de:0297-zib-11476
  • Recently the unsteady response of 1-D premixed flames to acoustic pressure waves for the range of frequencies below and above the inverse of the flame transit time was investigated experimentally by Wangher et al. using OH chemiluminescence. They compared the frequency dependence of the measured response to the prediction of an analytical model proposed by Clavin et al., derived from the standard flame model (one-step Arrhenius kinetics). Discrepancies between the experimental results and the model led to the conclusion that the standard model does not provide an adequate description of the unsteady response of real flames and that it is necessary to investigate more realistic chemical models. Here we follow exactly this suggestion and perform numerical studies of the reponse of lean methane flames using different reaction mechanisms. We find that the global flame response obtained with both detailed chemistry (GRI3.0) and a reduced multi-step model by Peters lies slightly above the predictions of the analytical model, but is close to experimental results. We additionally used an irreversible one-step reaction model which yields good results at least for frequencies close to the inverse flame transit time.

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Metadaten
Author:Heiko Schmidt, Carmen Jimenéz
Document Type:ZIB-Report
Tag:Akustik; Druckeffekt; Flammenantwort; inkompressibel
Direct pressure effect; acoustics; flame response; incompressible
MSC-Classification:35-XX PARTIAL DIFFERENTIAL EQUATIONS / 35Qxx Equations of mathematical physics and other areas of application [See also 35J05, 35J10, 35K05, 35L05] / 35Q30 Navier-Stokes equations [See also 76D05, 76D07, 76N10]
CCS-Classification:G. Mathematics of Computing / G.1 NUMERICAL ANALYSIS / G.1.8 Partial Differential Equations
PACS-Classification:40.00.00 ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS / 47.00.00 Fluid dynamics (for fluid dynamics of quantum fluids, see section 67; see also section 83 Rheology; for sound generation by fluid flow, see 43.28.Ra-in Acoustics Appendix) / 47.70.-n Reactive and radiative flows (see also 82.33.Vx Reactions in flames, combustion and explosion; 82.33.Xj Plasma reactions (including flowing afterglow and electric discharges); 82.33.Ya Chemistry of MOCVD and other vapor deposition methods in Physical chem / 47.70.Pq Flames; combustion
Date of first Publication:2009/10/01
Series (Serial Number):ZIB-Report (09-31)
ISSN:1438-0064
ZIB-Reportnumber:09-31
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