A Lifting Surface Theory for Wings Extending through Multiple Jets

Abstract
The basic Rethorst (J. Apro. Sci., 25, No. 1: 11-28, 1958) lifting surface solution of a wing extending through a single jet was generalized to enhance its applicability to the solution of many general and secondary problems concerned with the non-uniform aerodynamics of wing-propeller interaction. The generalization is first developed in detail in terms of single jet theory. Then it is applied to multi-jet arrangements. Several significant refinements to the original Rethorst theory are introduced. The wing is represented by a distribution of infinitesimal vortex elements instead of a large but finite number of horseshoe vortices. Certain symmetry restrictions are removed and the effect of slipstream rotation is included. The spanwise lift distribution of an example multi-jet arrangement was determined. Large increases in lift inboard and within the jets were obtained when the free stream velocity was small compared to the jet velocity. A lesser but significant increase occurred outboard of the jets. This large lift magnification offers the potential of large improvements in STOL capabilities.

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