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

  • Combustion Noise

  • Pulse Combustors

  • Combustion Instabilities


Flame acoustic interactions1

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

  • 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

  • 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


Results

Results

No flame response to perturbations


Results1

Results

With Flame Response to Perturbations


Results2

Results

Ratio of transverse and axial velocity component over the flame surface


Results3

Results

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


Conclusions

Conclusions

  • 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

  • Flame Dynamics

  • Mean Flow Effects

    • May be significant in determining energy flux

  • Time Domain Formulation

    • Linear Acoustics / Nonlinear Flame Dynamics


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