Abstract
A review is presented on the use of Lagally's Theorem to determine forces and moments on bodies moving through an ideal fluid, including the extension to unsteady flows by Cummins and the evaluation of the virtual moment by Landweber and Yih for the case of sources and doublets. The latter is generalized to cover any type of singularity. Applications thus far have been restricted to distributions of singularities which lie entirely within the body. This paper considers the lifting body problem in which a vortex or doublet sheet cuts through the body. It is shown that direct application of the final Lagally equations to such a problem yields erroneous results. An approach is presented in which the Lagally integrals are correctly evaluated for this type of singularity distribution.
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