### Lecture 1: Introduction and Review of Thermodynamics

##### Lecture Details :

High Speed Aero Dynamics by Dr. K.P. Sinhamahapatra, Department of Aerospace Engineering, IITKharagpur. For more details on NPTEL visit http://nptel.iitm.ac.in

##### Course Description :

Contents:

Basic concepts of compressible flow - continuity, energy and momentum equations; One-dimensional inviscid flow; Stagnation quantities; Isentropic conditions; Speed of sound and Mach number; Isentropic relations; Area-velocity relation - Flow through constant area duct; Normal shock; Propagating Normal Shock - One-dimensional linear and nonlinear wave motion; Linear and Nonlinear Shock tube

Oblique shock and supersonic compression by turning; Weak shocks and Mach waves; Supersonic expansion by turning; Prandtl-Meyer expansion fan; Reflection and intersection of shocks; Shock detachment and bow shock; Shock-Expansion theory with application to thin airfoils - Flow through converging and converging-diverging ducts; Flow through constant area duct with friction (Fanno flow) and - Flow through constant area duct with hear addition (Rayleigh flow) - Relation between vorticity and entropy Croccos equation; Compressible potential flow; Potential and Stream functions;

Linearized subsonic and supersonic flow theory; Small Perturbation Equation Subsonic, Supersonic and Transonic flows; Ackerets problem; Supersonic thin airfoil theory - Slender body theory; Singularity solutions; Affine transformation - Method of characteristics; Compatibility equations and method of solutions for isentropic and non-isentropic flows; Method of finite waves - Similarity rules for subsonic, supersonic and transonic flows; Critical Mach number of an airfoil