Joukowski transformation

Joukowski transformation

[yü′kəf·skē ‚tranz·fər‚mā·shən]
(fluid mechanics)
A conformal mapping used to transform circles into airfoil profiles for the purpose of studying fluid flow past the airfoil profiles; it assigns to each complex number z the number w = z + (a 2/ z).
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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are Thus the end points of the Joukowski a using the joukowski transformation are given by Equating real and imaginary parts, we get.
Exact Velocity: The modulus of the velocity distribution over the surface of a symmetric aerofoil (Chow[1979], Mushtaq and Shah [2010a, 2010b], and Mushtaq [2011]) is where is the radius of the circular cylinder (C.C) and is the constant of Joukowski transformation and coordinate is the center of the circular cylinder.