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• 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.

 S.No Topics and contents Number of Lectures 1 Introduction to acoustics and combustion driven oscillations. 2 2 Derivation of the wave equation. 3 3 Traveling wave solutions. 2 4 Acoustic energy corollary. 1 5 Impedance & admittance. 1 6 Standing wave solutions. 2 7 Reflection and transmission. 2 8 Impedance tube technique. 2 9 Effect of area and temperature variation on wave propagation. 2 10 Wave equation in cylindrical co-ordinates and its applications. 3 11 Basic principles of combustion driven oscillations. 1 12 Rayleigh criteria. 1 13 Mechanisms for instability in solid and liquid rockets, ramjets, gas turbines. 5 14 Pulse combustors and their analysis using Galerkin technique. 3 15 Modal analysis. 4 16 Nonmodal stability analysis. 4 17 Passive and active control of combustion instability. 2 Total Number of Lectures 40

L. E. Kinsler, A. R. Frey, A. B. Coppens and J. V. Sanders (2000) Fundamentals of Acoustics, 4th Edition, Wiley.

1. CULICK, F. E. C. (2006) Unsteady motions in combustion chambers for propulsion systems. RTO AGARDograph AG-AVT-039.

2. Morse, P. M., and K. U. Ingard (1965) Theoretical Acoustics, New York, McGraw-Hill.

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