Contents:
Introduction to acoustics and combustion driven oscillations – Derivation of the wave equation – Traveling wave solutions – Acoustic energy corollary – Impedance & admittance – Standing wave solutions – Reflection and transmission – Impedance tube technique.

Effect of area and temperature variation on wave propagation – Wave equation in cylindrical co-ordinates and its applications – Basic principles of combustion driven oscillations – Rayleigh criteria – Mechanisms for instability in solid and liquid rockets, ramjets, gas turbines – Pulse combustors and their analysis using Galerkin technique – Modal analysis – Nonmodal stability analysis – Passive and active control of combustion instability.

Other Resources

Course Curriculum

Introduction to Thermoacoustic Instabilities Details 50:19
Introduction to Acoustics Part II : Conservation Equations Details 53:14
Wave Equation and its Solution in Time Domain Details 52:14
Harmonic Waves Part II : Acoustic Energy Corollory Details 49:47
Standing Waves Details 49:38
Standing Waves — 2 Details 51:33
Power Flow and Acoustic Admittance Details 50:30
Impedance Tube Technique Details 48:59
Admittance and Standing Waves Details 48:59
Admittance,Stability and Attenuation Details 47:57
Attenuation : Continued Sound Propagation Through Inhomogeneous Media – 1 Details 51:27
Sound Propagation Through Inhomogeneous Media – 2 Details 49:37
Sound Propagation Through Inhomogeneous Media – 3 Details 49:11
Multidimensional Acoustic Fields – 1 Details 50:34
Multidimensional Acoustic Fields – 2 Details 49:30
Interaction between Sound and Combustion Details 48:59
Reference Books Derivation of Rayleigh Criteria Details 50:30
Effect of Heat release on the Acoustic Field Details 49:3
Modal Analysis of Thermoacoustic Instability – 1 Details 48:40
Modal Analysis of Thermoacoustic Instability – 2 Details 43:32
Active Control of Thermoacoustic Instability Details 50:42
Toy model for a Rijke tube in Time Domain Details 53:21
Galerkin Technique for Thermoacoustics Details 46:37
Evolution Equation for Thermoacoustics Details 50:9
Non linear analysis of Thermoacoustic Instability Details 50:11
Non-normality, Transient Growth and Triggering Instability – 1 Details 46:57
Non-normality, Transient Growth and Triggering Instability – 2 Details 49:15
Non-normality, Transient Growth and Triggering Instability – 3 Details 50:50
Bifurcations Details 49:6
Premixed Flame Acoustic Interaction – 1 Details 48:23
Premixed Flame Acoustic Interaction – 2 Details 45:11
Combustion instability due to Equivalence Ratio Fluctuation Details 50:17
Role of Hydrodynamic Instabilities – 1 Details 47:7
Role of Hydrodynamic Instabilities – 2 Details 51:38
Role of Hydrodynamic Instabilities – 3 Details 47:50
Active Control of Thermoacoustic Instability Revisited Details 52:5
Solid Propellant Combustion Instability – 1 Details 51:17
Solid Propellant Combustion Instability – 2 Details 48:20
Response of a Diffusion Flame to Acoustic Oscillations -1 Details 43:35
Response of a Diffusion Flame to Acoustic Oscillations – 2 Details 43:21
Response of a Diffusion Flame to Acoustic Oscillations – 3 Details 53:38

This course is part of NPTEL online courses, delivered by IIT Madras.

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