Response analysis of a laminar premixed Mflame to flow perturbations using a linearized compressible NavierStokes solver
Abstract
The response of a laminar premixed methaneair flame subjected to flow perturbations around a steady state is examined experimentally and using a linearized compressible NavierStokes solver with a onestep chemistry mechanism to describe combustion. The unperturbed flame takes an Mshape stabilized both by a central bluff body and by the external rim of a cylindrical nozzle. This base flow is computed by a nonlinear direct simulation of the steady reacting flow, and the flame topology is shown to qualitatively correspond to experiments conducted under comparable conditions. The flame is then subjected to acoustic disturbances produced at different locations in the numerical domain, and its response is examined using the linearized solver. This linear numerical model then allows the componentwise investigation of the effects of flow disturbances on unsteady combustion and the feedback from the flame on the unsteady flow field. It is shown that a wrinkled reaction layer produces hydrodynamic disturbances in the fresh reactant flow field that superimpose on the acoustic field. This phenomenon, observed in several experiments, is fully interpreted here. The additional perturbations convected by the mean flow stem from the feedback of the perturbed flame sheet dynamics onto the flow field by a mechanism similar tomore »
 Authors:
 LadHyX, CNRS and Ecole Polytechnique, 91128 Palaiseau (France)
 CNRS, UPR 288, Laboratoire d’Energétique Moléculaire et Macroscopique Combustion (EM2C), Grande Voie des Vignes, 92290 ChâtenayMalabry (France)
 (France)
 ONERADAFE, 8 rue des Vertugadins, 92190 Meudon (France)
 Department of Mathematics, Imperial College London, London SW7 2AZ (United Kingdom)
 Publication Date:
 OSTI Identifier:
 22403225
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physics of Fluids (1994); Journal Volume: 27; Journal Issue: 4; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 97 MATHEMATICAL METHODS AND COMPUTING; AIR; CHEMISTRY; COMBUSTION; CYLINDRICAL CONFIGURATION; DISTURBANCES; FLAMES; FLOW RATE; METHANE; NAVIERSTOKES EQUATIONS; NONLINEAR PROBLEMS; NOZZLES; STEADYSTATE CONDITIONS; TOPOLOGY; UNSTEADY FLOW
Citation Formats
Blanchard, M., Email: mathieu.blanchard@ladhyx.polytechnique.fr, Schuller, T., CentraleSupélec, Grande Voie des Vignes, 92290 ChâtenayMalabry, Sipp, D., and Schmid, P. J. Response analysis of a laminar premixed Mflame to flow perturbations using a linearized compressible NavierStokes solver. United States: N. p., 2015.
Web. doi:10.1063/1.4918672.
Blanchard, M., Email: mathieu.blanchard@ladhyx.polytechnique.fr, Schuller, T., CentraleSupélec, Grande Voie des Vignes, 92290 ChâtenayMalabry, Sipp, D., & Schmid, P. J. Response analysis of a laminar premixed Mflame to flow perturbations using a linearized compressible NavierStokes solver. United States. doi:10.1063/1.4918672.
Blanchard, M., Email: mathieu.blanchard@ladhyx.polytechnique.fr, Schuller, T., CentraleSupélec, Grande Voie des Vignes, 92290 ChâtenayMalabry, Sipp, D., and Schmid, P. J. Wed .
"Response analysis of a laminar premixed Mflame to flow perturbations using a linearized compressible NavierStokes solver". United States.
doi:10.1063/1.4918672.
@article{osti_22403225,
title = {Response analysis of a laminar premixed Mflame to flow perturbations using a linearized compressible NavierStokes solver},
author = {Blanchard, M., Email: mathieu.blanchard@ladhyx.polytechnique.fr and Schuller, T. and CentraleSupélec, Grande Voie des Vignes, 92290 ChâtenayMalabry and Sipp, D. and Schmid, P. J.},
abstractNote = {The response of a laminar premixed methaneair flame subjected to flow perturbations around a steady state is examined experimentally and using a linearized compressible NavierStokes solver with a onestep chemistry mechanism to describe combustion. The unperturbed flame takes an Mshape stabilized both by a central bluff body and by the external rim of a cylindrical nozzle. This base flow is computed by a nonlinear direct simulation of the steady reacting flow, and the flame topology is shown to qualitatively correspond to experiments conducted under comparable conditions. The flame is then subjected to acoustic disturbances produced at different locations in the numerical domain, and its response is examined using the linearized solver. This linear numerical model then allows the componentwise investigation of the effects of flow disturbances on unsteady combustion and the feedback from the flame on the unsteady flow field. It is shown that a wrinkled reaction layer produces hydrodynamic disturbances in the fresh reactant flow field that superimpose on the acoustic field. This phenomenon, observed in several experiments, is fully interpreted here. The additional perturbations convected by the mean flow stem from the feedback of the perturbed flame sheet dynamics onto the flow field by a mechanism similar to that of a perturbed vortex sheet. The different regimes where this mechanism prevails are investigated by examining the phase and group velocities of flow disturbances along an axis oriented along the main direction of the flow in the fresh reactant flow field. It is shown that this mechanism dominates the lowfrequency response of the wrinkled shape taken by the flame and, in particular, that it fully determines the dynamics of the flame tip from where the bulk of noise is radiated.},
doi = {10.1063/1.4918672},
journal = {Physics of Fluids (1994)},
number = 4,
volume = 27,
place = {United States},
year = {Wed Apr 15 00:00:00 EDT 2015},
month = {Wed Apr 15 00:00:00 EDT 2015}
}

Combustion instability is a resonance phenomenon that arises due to the coupling between the system acoustics and the unsteady heat release. The constructive feedback between the two processes, which is known to occur as a certain phase relationship between the pressure and the unsteady heat release rate is satisfied, depends on many parameters among which is the acoustic mode, the flame holder characteristics, and the dominant burning pattern. In this paper, the authors construct an analytical model to describe the dynamic response of a laminar premixed flame stabilized on the rim of a tube to velocity oscillation. They consider uniformmore »

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