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.

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