Abstract
A general analytical method is presented for calculating the flow field about bodies of revolution in incompressible potential flow as a sequence of elementary analytic functions (Fourier, Chebyshev and Legendre). For the cases of greatest interest to practical engineering (cusp and blunt trailing edges) comparison with an existing highly accurate numerical method shows that convergence is good. Only ten terms are required to give adequate accuracy for negligible computer usage on bodies with much more character than usually encountered. The theory can be used for design (inverse) operation to produce body shapes associated in a least squares sense with a desired input velocity. It is shown that, when used this way, again good results are obtained with remarkably few terms.
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