Application of boundary element methods in modeling multidimensional flame acoustic interactions
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Application of Boundary Element Methods in Modeling Multidimensional Flame-Acoustic Interactions.

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Application of boundary element methods in modeling multidimensional flame acoustic interactions
Application of Boundary Element Methods in Modeling Multidimensional Flame-Acoustic Interactions

Tim Lieuwen and Ben T. ZinnDepts. Of Mechanical and Aerospace EngineeringGeorgia Institute of TechnologyAtlanta, GA 3031820th World Conference on the Boundary Element MethodOrlando, Fl., Aug. 19-22, 1998


Flame acoustic interactions
Flame - Acoustic Interactions Multidimensional Flame-Acoustic Interactions

  • Combustion Noise

  • Pulse Combustors

  • Combustion Instabilities


Flame acoustic interactions1
Flame - Acoustic Interactions Multidimensional Flame-Acoustic Interactions

3

1

Premixed Fuel+Air

7

5

3

5

1

P’

7

time

Visualization taken with Mr. Hector Torres

1


Goal of study
Goal of Study Multidimensional Flame-Acoustic Interactions

  • Develop relatively simple tool capable of semi-quantitative analysis of flame acoustic interactions

  • Develop insight to suggest simplifications for analytical approaches to problem


Approach
Approach Multidimensional Flame-Acoustic Interactions

  • Noting that in typical systems

    • Discrepancy between acoustic and flame length scales

      • Acoustic Wavelength ~ 1 m

      • Flame Thickness ~ 0.1- 1 mm

    • Mach Numbers typically low

      • e.g. gas turbine combustors, M~0.04

    • Nearly Isothermal flow except for rapid heating near flame


Approach1
Approach Multidimensional Flame-Acoustic Interactions


Results
Results Multidimensional Flame-Acoustic Interactions

No flame response to perturbations


Results1
Results Multidimensional Flame-Acoustic Interactions

With Flame Response to Perturbations


Results2
Results Multidimensional Flame-Acoustic Interactions

Ratio of transverse and axial velocity component over the flame surface


Results3
Results Multidimensional Flame-Acoustic Interactions

Comparison of magnitude of the acoustic pressure along the combustor wall and flame surface


Conclusions
Conclusions Multidimensional Flame-Acoustic Interactions

  • Acoustic velocity field near flame two dimensional

  • Acoustic pressure reasonably one dimensional

  • BEM methods useful tool for modeling flame acoustic interactions


Future work
Future Work Multidimensional Flame-Acoustic Interactions

  • Flame Dynamics

  • Mean Flow Effects

    • May be significant in determining energy flux

  • Time Domain Formulation

    • Linear Acoustics / Nonlinear Flame Dynamics


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