Dynamical systems theory has emerged as an interdisciplinary area of research to
characterize the complex dynamical transitions in real-world systems. Various nonlinear …

Combustion instability is a major issue facing lean, premixed combustion approaches in
modern gas turbine applications. This paper specifically focuses on instabilities that excite …

Analysis of thermoacoustic instabilities were dominated by modal (eigenvalue) analysis for
many decades. Recent progress in nonmodal stability analysis allows us to study the …

An analytical framework is developed to understand and predict the thermoacoustic
instability in solid rocket motors, taking into account the non-orthogonality of the eigenmodes …

Under certain conditions, the flow in a combustion chamber can sustain large amplitude
oscillations even when its steady state is linearly stable. Experimental studies show that …

A systematic approach for non-modal stability analysis of thermoacoustic systems with a
localized heat source is proposed. The response of the heat source to flow perturbations is …

A low-order, state-space modeling approach for thermoacoustic systems has been
developed, which is based on present and past values of nodal characteristic wave …

Non-normal transient growth of energy is a feature encountered in many physical systems.
Its observation is intimately related to the norm used to describe the system dynamics. For a …

Thermoacoustic instability is a challenging problem in solid and liquid rockets, ramjets,
aircraft and industrial gas turbines etc.(Mcmanus et al., 1993). A typical combustion …

Thermoacoustic instabilities severely restrict the operating regimes and reduce the life of
gas turbines as they induce large amplitude pressure fluctuations. During instability …