Analytical Equations for Thermoacoustic Instability Sources and Acoustic Radiation from Reacting Turbulence
Abstract
We seek to ascertain and understand source terms that drive thermoacoustic instability and acoustic radiation. We present a new theory based on the decomposition of the Navier-Stokes equations coupled with the mass fraction equations. A series of solutions are presented via the method of the vector Green’s function. We identify both combustion-combustion and combustion-aerodynamic interaction source terms. Both classical combustion noise theory and classical Rayleigh criterion are recovered from the presently developed more general theory. An analytical spectral prediction method is presented, and the two-point source terms are consistent with Lord Rayleigh’s instability model. Particular correlations correspond to the source terms of Lighthill, which represent the noise from turbulence and additional terms for the noise from reacting flow.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Oct 08, 2020
- Source ID
- 10.1155/2020/8890360
Entities
People
- Steven Miller
Organizations
- Air Force Research Laboratory
- University of Florida