The Effect of Steady Fluid Motion on One-Dimensional Wave Propagation (Postprint)

Abstract

Reduced order modeling of thermoacoustic instabilities involves the coupled modeling of the wave propagation in the combustion chamber and the unsteady heat release. In many combustion systems the Mach number is low enough that the effect of the fluid motion on the wave propagation can be ignored. Ignoring the fluid motion results in the use of the wave equation to model the wave motion in the combustion chamber. In a previous paper the momentum and pressure equations were linearized by representing the fluid motion by a steady Mach number. In that research the frequency and phase relationship change as Mach number increases. In this research unsteady fluid motion is considered. The governing equations for momentum and pressure are modeled in SIMULINK and studied using frequency response tools.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 2007
Accession Number
ADA473727

Entities

People

  • Barry Kiel
  • Reza Kashani

Organizations

  • Air Force Research Laboratory

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Acoustic Velocity
  • Air Force
  • Air Force Research Laboratories
  • Chambers
  • Combustion
  • Combustion Chambers
  • Combustors
  • Engines
  • Equations
  • Frequency
  • Frequency Response
  • Gas Turbines
  • Mach Number
  • Resonant Frequency
  • Turbines
  • Wave Equations
  • Wave Propagation

Fields of Study

  • Physics

Readers

  • Combustion and Flow Dynamics.
  • Computer Vision.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)