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High Speed Aerodynamics

Building on the concepts from low speed aerodynamics, thermodynamics and compressible flow, high speed aerodynamics lays out the methods to analyze the forces and flows around airfoil shapes, wings and bodies at subsonic and supersonic speeds. Subsonic flow is treated using transformation to a stretched coordinate system, where the equation for the velocity potential, derived from the conservation laws, becomes the Laplace equation. Thus small-perturbation compressible potential flow problems can be transformed to "equivalent incompressible flow problems", solved using the Laplace equation and transformed back to the compressible domain. Supersonic aerodynamics is treated using small-perturbation "thin airfoil theory", and large-perturbation "shock-expansion theory". Simple approaches result, to calculate lift and drag in high speed flow. Finally, a section on viscous flow extends low speed concepts, to the case of compressible boundary layers. Semi-empirical correlations enable prediction of skin friction drag at very large Reynolds numbers and at Mach numbers through the supersonic.



Review of Low Speed Aerodynamics and Compressible Flow

The Full Potential Equation
Linearized Potential Equation and Subsonic Transformations
Airfoils in Supersonic Flow
Wings and Bodies in Compressible Flow
Critical Mach number, drag divergence and Transonic aerodynamics
Compressible Boundary Layers

Summary of Compressible Aerodynamics

Transonic Flow Features
Transonic Small Disturbance Equation

Transonic Full Potential Equation

Supersonic Blunt Body Problem
Conical Flow
Introduction to Hypersonic Aerodynamics

Local Surface Inclination Approach

Hypersonic Small Disturbance Theory
Hypersonic Blast Wave Theory
Hypersonic Viscous Flow
High Temperature Effects in Hypersonic Gasdynamics