Theodorsen's method: A numerical conformal map applied to fluid dynamics

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Issue Date
2023-05
Authors
Tucker, Mathew
Advisor
DeLillo,Thomas K.
Citation
Abstract

The details of Theodorsen's method for computing the conformal map from the ex- terior of the unit disk to the exterior of a simple closed curve in the complex plane are reviewed. An implementation of the method in Matlab is presented and used to compute potential ow over a single airfoil. Pressure curves and circulations for ows satisfying the Kutta condition at the trailing edge of the airfoil are calculated and the results are compared to output from a standard engineering code.

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Thesis (M.S.)-- Wichita State University, College of Liberal Arts and Sciences, Dept. of Mathematics, Statistics, and Physics
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