The Force and Moment on a Body in a Time-Varying Potential Flow

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Abstract
The force and moment acting on a body placed in an arbitrary, steady, potential flow were found by Lagally for the case in which the body can be represented by a system of singularities interior to the surface of the body. They were found to be simple functions of the strengths of the singularities and the character of the undisturbed stream in the neighborhood of the singularities. The present paper treats the case in which the body is subject to an arbitrary nonsteady motion (including rotation) in a stream which is changing with time. The force and moment are found to be the "Lagally force and moment" which would exist if the instantaneous flow were steady, plus additional components. For the force, these additional components are given as simple functions of the strength of the singularities used in establishing the boundary condition and of the velocity of the body. However, to obtain the moment, an integration over the surface of the body is required.

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