Small disturbance equations and local surface inclination theory for supersonic and hypersonic flow
Brief introduction to waves
Normal, oblique shocks, Expansion waves
Shock and expansion wave relations in the high Mach number limit
Shock-shock, shock-vortex interactions
Governing equations of viscous compressible flow
Compressible Boundary Layer Equations
Aerodynamic heating
Shock wave boundary layer interactions
High temperature gas dynamics
Thermodynamics and chemistry of high temperature gases
Equilibrium chemically reacting gas mixture
Basics of statistical thermodynamics
Excitation of various molecular energy modes
Macrostates and microstates
Equilibrium composition of high temperature air
Occurrence of non-equilibrium – at different scales, in atmospheric flight and astrophysical flows
Vibrational rate equation
Chemical rate equation
High temperature air in chemical non-equilibrium
Governing equations for inviscid high temperature equilibrium flow
Inviscid equilibrium normal shock, oblique shock, nozzle flow, blunt body flow
Equilibrium and frozen flow
Some numerical simulation results using SU2/ OpenFOAM
Governing equations for Inviscid high temperature non- equilibrium flow
Distinction between equilibrium, frozen and non-equilibrium flow
Inviscid non-equilibrium normal shock, oblique shock, nozzle flow, blunt body flow
Some numerical simulation results using SU2/ OpenFOAM
Basics of chemically reacting viscous flows with radiative effects- with examples from atmospheric flight and astrophysical flows
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.
Similarities and dissimilarities in the flow characteristics of the supersonic and hypersonic regimes- Aerospace vehicle design
Other applications of shock waves: Brief discussion on medical applications, detonation waves, volcanic eruption, supernova and cosmic shock wave interaction etc