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