Lecture 6: Potential flow continued.
Mapping of circle to ellipse. The circle theorem. The theorem of
Blasius. Applications. Examples of harmonic flows in 3D. The
simple
source and the Rankine fairing. The Butler sphere theorem and
application. The kinetic energy of the fluid created by a moving body.
Suggested reading: The sections given
here
are somewhat technical, and are suggested only
as a supplement to the lecture for students ith some familiarity with
potential theory.
- Batchelor 422-23,120-124, 398-409.
- Milne-Thomson 84-95