This course introduces the concepts of the primary differences between an incompressible flow and compressible flow. It draws the connection between compressible flow and speed of sound, Mach Number and thermodynamics. It then builds on the governing equations to derive the commonly known equations and tackles both 2D and 3D problems.
The physical concept of shocks and the resulting changes in the thermodynamic properties of a fluid form a major part of this course. The course concentrates primarily on the understanding of the physical concepts of compressible flow and keeps reference to various numerical methods for solving the governing equations to a minimum.

Introduction:Governing equations of compressible flow.
1 D Flow: Introduction – Normal Shock Relations – Hugoniot Equations.
Oblique Shocks – Supersonic flow over wedges and cones – Interaction of shocks of opposite families – Intersection of shocks of same family.
3D Shock Waves – Prandtl-Meyer Expansion waves – Shock expansion theory – Crocco’s Theorem.
Linearized Flow – Linearized velocity potential equation – Linearized pressure coefficient – Linearized Subsonic flow – Improved compressibility corrections – Linearized supersonic flow – Critical Mach Number.
Unsteady wave motion – Moving normal shock wave – Reflected shock waves – Incident and reflected expansion waves – Shock tube relations – Finite compression waves.
Method of Characteristics.
3D flow – Cones at angle of attack – Blunt-nosed bodies at angle of attack.

Other Resources

Course Curriculum

Mod-01 Lec-01 Lecture-01-Introduction to Gas Dynamics & Review of Basic Thermodynamics Details 50:36
Mod-01 Lec-02 Lecture-02-Review of Basic Thermodynamics Continued Details 48:41
Mod-01 Lec-03 An introduction to Normal Shocks Details 48:18
Mod-01 Lec-04 Lecture-04-The Mach Number and Compressible Flow Details 49:29
Mod-01 Lec-05 Lecture-05-The relation of physical properties across a normal shock Details 51:18
Mod-01 Lec-06 Lecture-06-Normal Shock in a duct: Throat and Reservoir conditions Details 48:10
Mod-01 Lec-07 Lecture-07-Example Problems in Normal Shocks Details 47:16
Mod-01 Lec-08 Lecture-08-An introduction to Oblique Shocks Details 51:2
Mod-01 Lec-09 The relation of physical properties across an oblique shock Details 50:12
Mod-01 Lec-10 Lecture-10-Example Problems in Oblique Shocks Details 52:26
Mod-01 Lec-11 Lecture-11-Pressure – Deflection relationship of Shocks Details 50:34
Mod-01 Lec-12 Lecture-12-An introduction to Expansion waves Details 44:27
Mod-01 Lec-13 Lecture-13-Area – Mach Relationship Details 47:11
Mod-01 Lec-14 Lecture-14-Unsteady Shock Waves: The Shock Tube Details 51:53
Mod-01 Lec-15 Lecture-15-The Shock Tube: Propagating Normal Shock and its reflection from end wall Details 50:47
Mod-01 Lec-16 Lecture-16-A review of wave propagation Details 57:23
Mod-01 Lec-17 Lecture-17-Wave propagation: Small Perturbation Theory Details 50:30
Mod-01 Lec-18 Lecture-18-Finite Wave Theory: An introduction to the Method of Characteristics Details 50:24
Mod-01 Lec-19 Lecture-19-The Shock Tube: Propagating Expansion Fan Details 49:55
Mod-01 Lec-20 Lecture-20-The Method of Characteristics Details 52:19
Mod-01 Lec-21 Lecture-21-Application of The Method of Characteristics: Details 50:44
Mod-01 Lec-22 Lecture-22-Application of The Method of Characteristics: Details 50:7
Mod-01 Lec-23 Lecture-23-Flow over a Wavy wall: Formulation using Perturbation Theory Details 51:11
Mod-01 Lec-24 Lecture-24-Subsonic Flow over a Wavy wall Details 50:46
Mod-01 Lec-25 Lecture-25-Supersonic Flow over a Wavy wall Details 49:58
Mod-01 Lec-26 Lecture-26-Supersonic Flow past a 3D Cone: Axisymmetric/Quasi 2D Flow Details 48:59
Mod-01 Lec-27 Lecture-27-Quasi 2D Flow – I Details 50:49
Mod-01 Lec-28 Lecture-28-Quasi 2D Flow – II Details 50:57
Mod-01 Lec-29 Similarity Rules and Transformed Coordinate System Details 49:11
Mod-01 Lec-30 Lecture-30-Critical Mach Number and Thin Airfoil Theory Details 50:8
Mod-01 Lec-31 Lecture-31-Example Problem using Thin Airfoil Theory Details 43:37
Mod-01 Lec-32 Lecture-32-Example Problems – 1 Details 52:29
Mod-01 Lec-33 Lecture-33-Example Problems – 2 Details 49:19
Mod-01 Lec-34 Lecture-34-Example Problems – 3 Details 53:2
Mod-01 Lec-35 Lecture-35-Supersonic Flow past a 3D Cone at an angle of attack Details 49:40
Mod-01 Lec-36 Lecture-36-Supersonic Flow past a 3D Cone at an angle of attack: Details 51:40
Mod-01 Lec-37 Lecture-37-Supersonic Flow past a 3D Cone at an angle of attack: Details 46:38
Mod-01 Lec-38 Supersonic Flow past a 3D Cone at an angle of attack: Governing Equations Details 51:44
Mod-01 Lec-39 Supersonic Flow past a 3D Cone at an angle of attack: Numerical Procedure Details 50:23
Mod-01 Lec-40 Supersonic Flow past a 3D Bluff Body at an angle of attack Details 52:1

This course is part of NPTEL online courses, delivered by IIT Madras.

Course Reviews


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  1. Well done, Mrs. Mukherjee !


    I can absolutly recommend this course.
    I missed the lectures of “gas dynamics” this semester from my University (RWTH Aachen) and didnt understand very much by just reading through the script.
    So I searched for a gas dynamics online course, which deals with the same content and topics. I didnt watch all lectures, but those i watched have helped me very lot to understand whats going on.
    (for RWTH students: to get all topics of the RWTH gas dynamics you have to watch this course (“Advanced Gasdynamics”) and the basic course “Gas dynamics”)


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