ABOUT THE COURSE: This course is expected to impart firsthand knowledge of compressible flows as it applies to both the supersonic and hypersonic Mach number regimes. It combines the theoretical approach with the numerical one without making it too detailed and intricate. After successful completion of this course the student should be well prepared for more advanced courses in the discipline. With ever increasing use of high speed flows in a wide gamut of applications, especially in the defence and space sectors, it is essential to understand the basic concepts of compressible flows over a wide Mach number range while working on any of the above applications. This course exactly fulfils that need. Applications of shock waves in other disciplines is also discussed briefly in this course. I would like to once more emphasize that the primary intention of this course is to create a familiarity about the supersonic and hypersonic flow regimes. It is not intended to prepare someone for research but induce the excitement and enthusiasm to pursue it further.INTENDED AUDIENCE: Fourth year or fifth year UG or Dual Degree /PG /PhD in Aerospace Engineering, Mechanical Engineering or allied disciplinesPREREQUISITES: Basic fluid mechanics course with introductory exposure to compressible flow.INDUSTRY SUPPORT: ISRO/ DRDL/ ADA/ NAL/ GE/ Boeing/ Airbus
Fundamentals of Supersonic and Hypersonic Flow
Indian Institute of Technology, Kharagpur and NPTEL via Swayam
This course may be unavailable.
Overview
Syllabus
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
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
Taught by
Prof. Arnab Roy
