A theoretical study is made of some cruciform-wing arrange ments and their wakes by means of slenderbody theory. The basic ideas of this theory are reviewed and equations are developed for the pressures, loadings, and forces on slender cruciform wings and wing-body combinations. The rolling-up of the vortex sheet behind a slender cruciform wing is considered at length and a numerical analysis is carried out using of vortices to calculate the wake shape at various distances behind an equal-span cruciform wing at 45° bank. Analytical expressions are developed for the corresponding positions of the rolled-up vortex sheets using a if vortex approximation to the wake, and these positions are compared with the positions of the centroids of rticity resulting from the numerical analysis. The agreement is found to be remarkably good at all distances behind the wing.
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