Week 1:
1. Introduction to supersonic and hypersonic flows
2. Characteristics of the two flow regimes
3. Where do these flows occur?
Week 2:
1. Governing equations of inviscid compressible flow
2. Small disturbance equations and local surface inclination theory for supersonic and hypersonic flow
Week 3:
1. Brief introduction to waves
2. Normal, oblique shocks, Expansion waves
3. Shock and expansion wave relations in the high Mach number limit
4. Shock-shock, shock-vortex interactions
Week 4:
1. Governing equations of viscous compressible flow
2. Compressible Boundary Layer Equations
3. Aerodynamic heating
4. Shock wave boundary layer interactions
Week 5:
1. High temperature gas dynamics
2. Thermodynamics and chemistry of high temperature gases
3. Equilibrium chemically reacting gas mixture
Week 6:
1. Basics of statistical thermodynamics
2. Excitation of various molecular energy modes
3. Macrostates and microstates
4. Equilibrium composition of high temperature air
Week 7:
1. Occurrence of non-equilibrium – at different scales, in atmospheric flight and astrophysical flows
2. Vibrational rate equation
3. Chemical rate equation
4. High temperature air in chemical non-equilibrium
Week 8:
1. Governing equations for inviscid high temperature equilibrium flow
2. Inviscid equilibrium normal shock, oblique shock, nozzle flow, blunt body flow
3. Equilibrium and frozen flow
4. Some numerical simulation results using SU2/ OpenFOAM
Week 9:
1.Governing equations for Inviscid high temperature non- equilibrium flow
2. Distinction between equilibrium, frozen and non-equilibrium flow
3. Inviscid non-equilibrium normal shock, oblique shock, nozzle flow, blunt body flow
4. Some numerical simulation results using SU2/ OpenFOAM
Week 10:
1. Basics of chemically reacting viscous flows with radiative effects- with examples from atmospheric flight and astrophysical flows
Week 11:
1. Revision and recapitulation of the main concepts
2. Discussion and comparison of supersonic and hypersonic flow over some standard geometries: flat plate, wedge, double ramp, blunt nose, hollow flare etc.
Week 12:
1. Similarities and dissimilarities in the flow characteristics of the supersonic and hypersonic regimes- Aerospace vehicle design
2. Other applications of shock waves: Brief discussion on medical applications, detonation waves, volcanic eruption, supernova and cosmic shock wave interaction etc
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