Theory of Flame-Acoustic Interaction for Flame Propagation in Spherical Chamber

Abstract

A simplified model describing acoustically-generated parametric instability in a spherical chamber is developed for quasi-one-dimensional, low-Mach flames. We demonstrate how sound waves generated by a centrally-ignited, outwardly-propagating accelerating flamefront can be incorporated into a theory of self-similar flame acceleration in free space developed previously. Being reflected from the chamber wall, flame-generated sound waves interact with the flamefront and the attendant hydrodynamic flame front cellular instability. This in turn affects the subsequent flame shape and propagation speed. It is shown that acoustics modifies the exponent in the self-similar power-laws flame acceleration, facilitating the transition to detonation in confinement.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 2011
Accession Number
ADA569751

Entities

People

  • Chung K. Law
  • V'yacheslav Akkerman

Organizations

  • Princeton University

Tags

Communities of Interest

  • Energy and Power Technologies
  • Space

DTIC Thesaurus Topics

  • Acoustic Frequencies
  • Acoustic Propagation
  • Acoustics
  • Combustion
  • Detonations
  • Dispersion Relations
  • Fires
  • Flame Propagation
  • Flames
  • Fluid Mechanics
  • Frequency
  • Ignition
  • Instability
  • Parametric Instability
  • Physics Laboratories
  • Sound Waves
  • Spark Ignition

Fields of Study

  • Physics

Readers

  • Combustion Dynamics and Shock Wave Physics.
  • Combustion science or combustion engineering.
  • Fluid Dynamics.

Technology Areas

  • Space
  • Space - Hall-Effect Thruster