Aerodynamics B

Aerodynamics B Formula Overview (68kb)
This file contains the most important Aerodynamics B equations. Learn them by heart, but do make sure you know under what conditions they can be applied.

The summaries below contain definitions and derivations of important equations.

Basic Concepts (51kb)
This file contains some basic mathematical concepts needed to derive various equations.
Navier-Stokes Equations (86kb)
The Navier-Stokes Equations, consisting of the Continuity Equation, the Momentum Equation and the Energy Equation, and their derivations can be found in this file.
Aerodynamics Lines and Equations (56kb)
Things like stream lines, path lines, vorticities, circulations, stream functions and velocity potentials are discussed in this file.
Basics of Inviscid Incompressible Flows (63kb)
A short introduction is given on inviscid incompressible flows. Also the validity of Laplace's equation for the velocity potential and the stream function is shown.
Elementary Flows (56kb)
How do uniform flows, sources, sinks, doublets and vortex flows work? And what formulas apply to them? You can find it here.
Basic Applications of Elementary Flows (62kb)
How can we apply the elementary flows to get some basic shapes? Flows over cylinders and spheres and the source panel method are discussed.
Two-Dimensional Airfoils (122kb)
What is a vortex sheet? And how can we use it to model 2-dimensional thin airfoils? It is treated in the 5 pages this file contains.
Three-Dimensional Wings (79kb)
Using vortex filaments, or (to be more precise) horseshoe vortices, to model induced drag on three-dimensional wings is a nice method. How it works can be found in these pages.

Aerodynamics B Summary - Full Version (229kb)
All above files in one single file.

There are many equations in Aerodynamics. But how to use them often remains the question. Find it out with the solutions to the book problems.