
Lecture Description
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Course Index
- Introduction to Thermoacoustic Instabilities
- Introduction to Acoustics: Conservation Equations
- Wave Equation and its Solution in Time Domain
- Harmonic Waves: Acoustic Energy Corollory
- Standing Waves
- Standing Waves II
- Power Flow and Acoustic Admittance
- Impedance Tube Technique
- Admittance and Standing Waves
- Admittance, Stability and Attenuation
- Attenuation: Continued Sound Propagation Through Inhomogeneous Media I
- Attenuation: Continued Sound Propagation Through Inhomogeneous Media II
- Attenuation: Continued Sound Propagation Through Inhomogeneous Media III
- Multidimensional Acoustic Fields I
- Multidimensional Acoustic Fields II
- Interaction between Sound and Combustion
- Reference Books Derivation of Rayleigh Criteria
- Effect of Heat release on the Acoustic Field
- Modal Analysis of Thermoacoustic Instability I
- Modal Analysis of Thermoacoustic Instability II
- Active Control of Thermoacoustic Instability
- Toy model for a Rijke tube in Time Domain
- Galerkin Technique for Thermoacoustics
- Evolution Equation for Thermoacoustics
- Non Linear Analysis of Thermoacoustic Instability
- Non-normality, Transient Growth and Triggering Instability I
- Non-normality, Transient Growth and Triggering Instability II
- Non-normality, Transient Growth and Triggering Instability III
- Bifurcations
- Premixed Flame Acoustic Interaction I
- Premixed Flame Acoustic Interaction II
- Combustion instability due to Equivalence Ratio Fluctuation
- Role of Hydrodynamic Instabilities I
- Role of Hydrodynamic Instabilities II
- Role of Hydrodynamic Instabilities III
- Active Control of Thermoacoustic Instability Revisited
- Solid Propellant Combustion Instability I
- Solid Propellant Combustion Instability II
- Response of a Diffusion Flame to Acoustic Oscillations I
- Response of a Diffusion Flame to Acoustic Oscillations II
- Response of a Diffusion Flame to Acoustic Oscillations III
Course Description
Topics outline:
- Introduction to acoustics and combustion driven oscillations.
- Derivation of the wave equation.
- Traveling wave solutions.
- Standing wave solutions.
- Effect of inhomogeneous media on sound propagation.
- Multi-dimensional acoustics.
- Fundamentals of combustion instability.
- Basic principles.
- Rayleigh criteria.
- Instability in solid and liquid rockets, ramjets, gas turbines.
- Pulse combustors.
- Passive and active control of combustion instability.
Theoretical analysis of combustion instability.
- Modal stablility analysis.
- Nonmodal stability analysis.
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