Non-normality and nonlinearity in combustion–acoustic interaction in diffusion flames

DOI10.1017/S0022112007008737zbMath1159.76390MaRDI QIDQ5444172

Koushik Balasubramanian, R. I. Sujith

Publication date: 25 February 2008

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Mathematics Subject Classification ID

Hydro- and aero-acoustics (76Q05) Combustion (80A25) Reaction effects in flows (76V05)

Related Items (14)

Minimal energy thresholds for triggering in the Rijke tube: the effect of the time delay ⋮ Bifurcation characteristics and flame dynamics of a ducted non-premixed flame with finite rate chemistry ⋮ Stochastic bifurcations and its regulation in a Rijke tube model ⋮ Onset of thermoacoustic instability in turbulent combustors: an emergence of synchronized periodicity through formation of chimera-like states ⋮ Identification of heat transfer dynamics for non-modal analysis of thermoacoustic stability ⋮ Bifurcation and nonlinear analysis of a time-delayed thermoacoustic system ⋮ Thermoacoustic instability in a solid rocket motor: non-normality and nonlinear instabilities ⋮ A unified framework for nonlinear combustion instability analysis based on the flame describing function ⋮ Stability analysis of thermoacoustic interactions in vortex shedding combustors using Poincaré map ⋮ Triggering in the horizontal Rijke tube: non-normality, transient growth and bypass transition ⋮ Non-normality and its consequences in active control of thermoacoustic instabilities ⋮ Spectral energy cascade in thermoacoustic shock waves ⋮ Thermoacoustic interplay between intrinsic thermoacoustic and acoustic modes: non-normality and high sensitivities ⋮ Global modes, receptivity, and sensitivity analysis of diffusion flames coupled with duct acoustics

Uses Software

• Eigtool

Cites Work

• Large-scale complex eigenvalue problems
• Stability and transition in shear flows
• On the stability of one-dimensional diffusion flames established between plane, parallel, porous walls
• Hydrodynamic Stability Without Eigenvalues
• Unsteady combustion response of a ducted non-premixed flame and acoustic coupling
• Vector Eigenfunction Expansions for Plane Channel Flows
• Pseudospectra of the Convection-Diffusion Operator
• Pseudospectra of Linear Operators
• A mostly linear model of transition to turbulence
• Combustion instability due to the nonlinear interaction between sound and flame
• An unsteady laminar flamelet model for non-premixed combustion

This page was built for publication: Non-normality and nonlinearity in combustion–acoustic interaction in diffusion flames