A method has been derived for the determination of the downwash in the field of an airfoil extending through a circular jet. This solution for values of downwash was then employed in lifting surface theory to determine the lift distribution on a wing extending through a circular jet. The basic approach for the downwash solution was to consider the flow resulting from the viscous action of the vortex sheet constituting the jet boundary. The method of solution is essentially based on a division of the flow thus induced by this jet boundary into parts which are even and odd with respect to the direction of flow. The analysis due to the even part alone is similar to previous theories, which in effect disregarded the odd part. Such previous results for the lift distribution based on the even part alone differ considerably from the experimental values. The results based on the total of the even and odd parts show good agreement with the experiments, illustrating the necessity of including the odd part of the flow when the segment of the wing immersed in the jet is of low aspect ratio. The problem has been solved in parametric form, so that the results may be employed to determine the characteristics of any geometry wing-jet combination at any jet velocity ratio.
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