The Force of Impact On a Sphere Striking a Water Surface
The Force of Impact On a Sphere Striking a Water Surface
Max Shiffman
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Approxiraation by flow about a lens . Consider the flow produced in the water as a result of the entry of the sphere. As the sphere penetrates the surface, the free sui'face no longer remains plane. The water rises slightly and spurts are fortaed running up the sides of the sphere. The exact shape of the surface is difficult to deterinine; estimates of the shape and its influence on the impact coefficient will be presented in a separate memorandum. In the present report we shall neglect the mot...ion of the surface and likewise neg- lect squares of velocities on the surface. The boundary condi- tion on the free surface is then 0=0, where is the velocity potential describing the flow. The potential flow can then be extended to the infinite space on both sides of CONFIDENTIAL - 4 - CONFIDENTIAL the free surface, and the flow at each Instant corresponds to the flow about a synnetrical lens as Indicated in Pig. 2i It is the flow about a lens which fonns the main matheraatl- cal contribution of this report.
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