naca-report-114
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National Advisory Committee for Aeronautics, Report - Some New Aerodynamical Relations
This report was prepared for the National Advisory Committee fer Aeronautics, and is a
series of three notes, designed to extend the modern theory of aerodynamics and to develop it
so that it may be applied to certain special problems in some later papers.
The motion of solid bodies in contact with each other is influenced by friction; but, never-
theless, it is often desirable to neglect this, and to make the necessary corrections later. Simi-
larly, in treating the motion of a solid body through a fluid, it is desirable to begin with the
case of a motion in which friction is neglected—i. e., withmotion in a nonviscous fluid.
When two bodies are moving in a fluid, the disturbance in the fluid produced by one causes
forces to act upon the other; and similarly, when there is but a single body in motion, any
portion of it experiences a force due to the disturbances produced in the fluid by the other
portions of the body. When the fluid is a nonviscous one, these forces may be calculated;
and, from analogy with the phenomena of electrodynamics, they are called “ induced” forces.
In the first part of this paper use will be made of this relation and others derived, using
the same approximation; in the second part the error introduced by making this approxima-
tion will be discussed; and in the third part a new theorem will be developed and its usefulness shown.
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