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Advanced Gas Dynamics

Advanced Gas Dynamics. Instructor: Dr. Rinku Mukherjee, Department of Applied Mechanics, IIT Madras. 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. (from nptel.ac.in)

Lecture 20 - The Method of Characteristics


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Lecture 01 - Introduction to Gas Dynamics and Review of Basic Thermodynamics
Lecture 02 - Review of Basic Thermodynamics (cont.)
Lecture 03 - An Introduction to Normal Shocks
Lecture 04 - The Mach Number and Compressible Flow
Lecture 05 - The Relation of Physical Properties across a Normal Shock
Lecture 06 - Normal Shock in a Duct: Throat and Reservoir Conditions
Lecture 07 - Example Problems in Normal Shocks
Lecture 08 - An Introduction to Oblique Shocks
Lecture 09 - The Relation of Physical Properties across an Oblique Shock
Lecture 10 - Example Problems in Oblique Shocks
Lecture 11 - Pressure-Deflection Relationship of Shocks
Lecture 12 - An Introduction to Expansion Waves
Lecture 13 - Area-Mach Relationship
Lecture 14 - Unsteady Shock Waves: The Shock Tube
Lecture 15 - The Shock Tube: Propagating Normal Shock and its Reflection from End Wall
Lecture 16 - A Review of Wave Propagation
Lecture 17 - Wave Propagation: Small Perturbation Theory
Lecture 18 - Finite Wave Theory: An Introduction to the Method of Characteristics
Lecture 19 - The Shock Tube: Propagating Expansion Fan
Lecture 20 - The Method of Characteristics
Lecture 21 - Application of the Method of Characteristics: Design of a Minimum Length Nozzle
Lecture 22 - Application of the Method of Characteristics: Flow through a Diverging Channel
Lecture 23 - Flow over a Wavy Wall: Formulation using Perturbation Theory
Lecture 24 - Subsonic Flow over a Wavy Wall
Lecture 25 - Supersonic Flow over a Wavy Wall
Lecture 26 - Supersonic Flow past a 3D Cone: Axisymmetric/ Quasi 2D Flow
Lecture 27 - Quasi 2D Flow I
Lecture 28 - Quasi 2D Flow II
Lecture 29 - Similarity Rules and Transformed Coordinate System
Lecture 30 - Critical Mach Number and Thin Airfoil Theory
Lecture 31 - Example Problem using Thin Airfoil Theory
Lecture 32 - Example Problems 1
Lecture 33 - Example Problems 2
Lecture 34 - Example Problems 3
Lecture 35 - Supersonic Flow past a 3D Cone at an Angle of Attack
Lecture 36 - Supersonic Flow past a 3D Cone at an Angle of Attack: Flow Visualization I
Lecture 37 - Supersonic Flow past a 3D Cone at an Angle of Attack: Flow Visualization II
Lecture 38 - Supersonic Flow past a 3D Cone at an Angle of Attack: Governing Equations
Lecture 39 - Supersonic Flow past a 3D Cone at an Angle of Attack: Numerical Procedure
Lecture 40 - Supersonic Flow past a 3D Bluff Body at an Angle of Attack