Gas Dynamics
Gas Dynamics. Instructor: Dr. T.M. Muruganandam, Department of Aerospace Engineering, IIT Madras. This course discusses topics in gas dynamics. Review of fundamentals: concepts from fluid mechanics, basic thermodynamic relations. Compressible flow: concept of waves in fluid, mach waves, compression waves, expansion waves. Basic flow features: isentropic flow, shock waves, stationary and moving shocks, oblique shocks, bow shocks, expansion fans. Example flows: flow around bodies, shock expansion method for flow over airfoils. Flow through a nozzle: convergent nozzles, CD nozzles, exit pressure variation vs stagnation pressure variation. Oblique shock wave reflections, Jet flows Under- and over-expanded flows shear layers. Flow with friction, friction choking. Flow with heat addition, thermal choking. Supersonic combustion. Shock tube, supersonic wind tunnel, flow visualization, supersonic probes. Design of nozzles, external flow around bodies. Experimental characteristics of airfoils in compressible flow. Unsteady flows.
(from nptel.ac.in)
Lecture 52 - 2D Method of Characteristics |
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Go to the Course Home or watch other lectures:
Lecture 01 - Compressibility and Thermodynamics |
Lecture 02 - Thermodynamics |
Lecture 03 - Thermodynamic Processes, Mass and Momentum Conservation Equations |
Lecture 04 - Momentum and Energy Equations |
Lecture 05 - Equations |
Lecture 06 - Energy vs Momentum Equations, Pressure Waves in Gases |
Lecture 07 - Pressure Waves in Gases |
Lecture 08 - Communication in Gases, Stagnation State |
Lecture 09 - Stagnation Properties, Differential form Equations for One Dimensional Flow, Isentropic Flow with Area Variation |
Lecture 10 - Isentropic Flow with Area Variation |
Lecture 11 - Normal Shock Concepts, Normal Shock Relations |
Lecture 12 - Normal Shock Relations |
Lecture 13 - Normal Shock Relations (cont.) |
Lecture 14 - Normal Shock Relations, Moving Shocks |
Lecture 15 - Moving Shocks, Solved Examples for Stationary Normal Shocks |
Lecture 16 - Solved Examples for Stationary and Moving Shocks |
Lecture 17 - Solved Numerical Examples for Moving Shocks |
Lecture 18 - Solved Numerical Examples for Moving Shocks, Oblique Shock |
Lecture 19 - Oblique Shock |
Lecture 20 - Oblique Shock Relations |
Lecture 21 - Oblique Shocks, Bow Shock |
Lecture 22 - Detached Shocks, Oblique Shock Reflections, Numerical Examples |
Lecture 23 - Shock-Shock Interactions, 1D Expansion Wave, Expansion Fans |
Lecture 24 - Expansion Fan, Prandtl-Meyer Angle, Smooth Compressions, Prandtl-Meyer Function |
Lecture 25 - Prandtl-Meyer Function, Numerical Examples, Shock-Expansion Theory |
Lecture 26 - Prandtl-Meyer Function, Shock Expansion Theory and its Applications |
Lecture 27 - Quasi-1D Flow with Area Variations, Choked Conditions |
Lecture 28 - Quasi-1D Flow with Area Variations, Geometric Choking, Numerical Examples |
Lecture 29 - Convergent Nozzle, Divergent Nozzle, Convergent-Divergent Nozzle |
Lecture 30 - Convergent-Divergent Nozzle |
Lecture 31 - Convergent-Divergent Nozzle Numerical Example, Multiple Choking Points |
Lecture 32 - Supersonic Jet |
Lecture 33 - Supersonic Jet, Numerical Examples |
Lecture 34 - Supersonic Jet, Numerical Examples, Shear Layers Flow |
Lecture 35 - Non-Isentropic Flows - Crocco's Theorem |
Lecture 36 - Non-Isentropic Flows - Crocco's Theorem, Fanno Flow |
Lecture 37 - Fanno Flow - Relations, Plots and Discussion about Choking |
Lecture 38 - Fanno Flow - Numerical Examples |
Lecture 39 - Non-Isentropic Flows - Rayleigh Flow |
Lecture 40 - Rayleigh Flow - Relations, Plots and Discussion |
Lecture 41 - Rayleigh Flow, Numerical Example; Non-Isentropic Flows - Various Choking Mechanisms in Compressible Flow, Supersonic Combustor Flow, Ram Jet Flow |
Lecture 42 - Shock Tube |
Lecture 43 - Shock Tube (cont.) |
Lecture 44 - Compressible Flow Facilities |
Lecture 45 - Compressible Flow Facilities (cont.) |
Lecture 46 - Compressible Flow Facilities, Measurement Techniques for Compressible Flows, Experiment Design |
Lecture 47 - High Speed Flow Visualisation |
Lecture 48 - High Speed Flow Visualisation (cont.) |
Lecture 49 - High Speed Flow Visualisation, Method of Characteristics |
Lecture 50 - Directions, Constitutive Relations, Subroutines |
Lecture 51 - Subroutines, Marching Techniques, Examples |
Lecture 52 - 2D Method of Characteristics |
Lecture 53 - Summary of Course, Unsteady Flow Phenomena |
Lecture 54 - Unsteady Flow Phenomena Videos, MOC Simulations |