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Modeling Flame-Acoustic Interactions Using Boundary Element Methods

This study presents a semi-quantitative tool for analyzing flame-acoustic interactions, emphasizing the discrepancies between flame and acoustic scales in combustion systems. It highlights the development of insights for simplifying analytical approaches to these complex interactions. Key findings include the observation of flame responses to perturbations, the ratio of velocity components at the flame surface, and a comparison of acoustic pressure magnitudes along the combustor wall. The results suggest that boundary element method (BEM) techniques are effective for modeling these phenomena, with implications for future research in flame dynamics.

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Modeling Flame-Acoustic Interactions Using Boundary Element Methods

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  1. 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

  2. Flame - Acoustic Interactions • Combustion Noise • Pulse Combustors • Combustion Instabilities

  3. Flame - Acoustic Interactions 3 1 Premixed Fuel+Air 7 5 3 5 1 P’ 7 time Visualization taken with Mr. Hector Torres 1

  4. 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

  5. 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

  6. Approach

  7. Results No flame response to perturbations

  8. Results With Flame Response to Perturbations

  9. Results Ratio of transverse and axial velocity component over the flame surface

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

  11. Conclusions • Acoustic velocity field near flame two dimensional • Acoustic pressure reasonably one dimensional • BEM methods useful tool for modeling flame acoustic interactions

  12. 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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