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This document studies the behavior of perfect fluids when passing around different surfaces that have been historically used for the design of wing profiles. In addition to that, some fluid potentials are represented over three-dimensional surfaces performed with pro-jections of the initial complex plane. Rather than taking a numerical approach, we follow here a completely analytical strategy, based on the theory of complex potentials and conformal transformations. In order to visualize the results we developed specific pieces of code based on the Wolfram Mathematica sotfware. The analysis thus obtained provides an analytical approach that can be an alternative to numerical simulation methods, or for some cases both strategies can also be complementary.

The final publication is available at link.springer.com, In this paper, an analytical and numerical study of the three-dimensional equations describing the motion through the air of a spinning ball is presented. The initial analysis involves constant drag coefficients, but is later extended to involve drag varying with the spin ratio. Excellent agreement is demonstrated between numerical, analytical and experimental results. The analytical solution shows explicitly how the ball’s motion depends on parameters such as ball roughness, velocity and atmospheric conditions. The importance of applying three-dimensional models, rather than two-dimensional approximations, is demonstrated., Peer Reviewed, Postprint (author's final draft)

Wind tunnel data to determine Magnus force and center of pressure location on a spinning missile at angle of attack was correlated to a crossflow analogy theory with good results., supported by the Foundation Research Program at the Naval Postgraduate School, http://archive.org/details/spinningmissilem00powe