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THE APPLICATION OF GOLDSTEINS THEORY TO(戈尔茨坦的理论的应用).pdf

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1111 ~1~lmm~I~11 I 3 8006 10054 0247 THE APPLICATION OF GOLDSTEINS THEORY TO fEJ PRACTICAL DESIGN OF AIRSCREWS. By C. N. H. LOCK, M.A. Reports and Memoranda No. 1377. (Ae. 502.) November, 1930. Summary.-A recent paper on the Vortex theory of screw propellers by Dr. S. Goldstein in the Proceedings of the Royal Society. contains a solution of the problem of the potential flow past a body consisting of a finite number of coaxial helicoids of infinite length but finite radius moving through a fluid with constant velocity. The results are applied to the case of an ideal airscrew having a finite number of blades and a particular distribution of circulation along the blade for small values of the thrust. The present paper contains a summary of Goldsteins results, which are then applied to the airscrew problem by a method which leads to formulae differing from the standard formulae of the Vortex theory by the addition of a factor to the formulae for the components of inflow; the value of this factor may be obtained from a chart embodying the rcsults of Goldsteins calculations. The formulae of the Vortex theory are developed simultaneously from first principles by au analogous method which differs somewhat from the method used by its originator and brings out clearly the close analogy
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