Gas Dynamics
& Supersonic Flow

Sections :

• Compressible Flow
  • System, Surroundings and Control Volume -- Laws of Thermodynamics -- Zeroth Law of Thermodynamics -- First Law of Thermodynamics -- Second Law of Thermodynamics -- Perfect Gas Law -- Consequences of First Law for a Perfect Gas -- Consequences of Second Law for a Perfect Gas
• Equations of Motion for a Compressible Flow
  • Continuity Equation -- Momentum Equation -- Energy Equation -- Stagnation Conditions -- Constant from Stagnation Conditions -- Area-Velocity Relation
• 1-D Isentropic Relations
  • Sonic Point as Reference -- Mass Flow Rate -- Equations of Motion in absence of Area Changes
• Wave Propagation
  • Speed of Sound -- Propagation of a Source of Sound -- Stationary Source -- Source moving at Subsonic Speeds -- Source moving at the Speed of Sound -- Source moving at Supersonic Speeds -- Response of Subsonic and Supersonic Flows to an Obstacle -- Subsonic Flow -- Supersonic Flow -- Shock Waves -- Formation of a Shock Wave -- Normal Shock Waves -- Important Characteristics of a Normal Shock
• Flow through Nozzles and Ducts
  • Flow through a Converging Nozzle -- Flow through a Converging-diverging nozzle -- Supersonic Nozzle Flow Experiment
• Two-Dimensional Compressible Flow
  • Oblique Shock Waves -- Relations across an Oblique Shock -- Relation between β and θ -- Supersonic Flow past Concave Corners and Wedges -- Weak Oblique Shocks -- Supersonic Compression by Turning -- Convergence of Mach Waves
• Prandtl-Meyer Expansion
  • Calculation of Downstream conditions
• Shock Interactions and Detached Shocks
  • Shock Reflection from a Wall -- Intersection of two Shocks -- Strong Solutions – Detached Shocks -- Mach Reflection
• Shock-Expansion Techniques for Aerofoils
  • Flat Plate Aerofoil -- Diamond Aerofoil -- Interaction between shocks and expansion waves -- Thin Aerofoil Theory -- Flow about a Flat Plate Aerofoil at an Angle of Attack -- Diamond Aerofoil -- An Arbitrary Aerofoil -- Second Order Theory -- Reduction of Drag by cancelling the Waves
• Method of Characteristics
  • Theory of Method of Characteristics -- Compatibility Relations -- Computing with Method of Characteristics -- Flow through a Diverging Duct -- Interior Point -- Boundary Point -- Cancellation of Waves -- Design of a Supersonic Nozzle
• Unsteady Supersonic Flow
  • Moving Normal Shock Waves -- Shock Induced Motion -- Reflection of a Moving Shock -- Unsteady Expansion Waves -- Shock Tube Flow
• Molecular Simulation of Rarefied Flow
  • Transport Phase -- Collision Phase -- Flow Sampling -- Software and Exmaples
• Compressible Flow Tables/Software
  • Subsonic Compressible Flow Table -- Supersonic Compressible Flow Table -- Normal Shock, Mach wave and Expansion Wave Table -- Oblique Shock Wave Table -- Isentropic Compressible Flow Calculator -- Normal Shock Calculator -- Mach Wave Calculator -- Expansion Wave Calculator -- Oblique Shock Wave Calculator -- Supersonic Nozzle Simulator -- Shocktube Simulator