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High Speed Aerodynamics 03: Linearized Potential Equation and Subsonic Transformations

This section shows how the potential equation is simplified for the case of small perturbations, and the assumptions implied in linearizing the equation. The linearized equations are no longer general to all compressible potential flow, but are limited to specific regimes of Mach number. In the subsonic regime, the linearized equation can be transformed to the Laplace equation by transforming the coordinate system. This transformation approach is then used to get results for subsonic Mach numbers using the idea of a "corresponding incompressible flow problem". Please click to download pdf notes.



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