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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

Go to the Course Home or watch other lectures:

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