THE SCALING OF UNDERWATER EXPLOSION PHENOMENA
NAVAL ORDNANCE LAB WHITE OAK MD
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An attempt is made to summarize the problems and the semantics of scaling in a concise form without use of mathematical developments. The well known cube-root scaling is shown to be a consequence of Machs similitude, the fourth-root scaling, of Froudes similitude. Requirements which must be satisfied for each of these scaling rules are discussed. Scaling of gravitational effects on underwater explosions bubble behavior is not possible by means of model tests conducted in a river or a pond, but requires test tanks in which the air pressure above the water can be reduced or the acceleration of gravity increased. The scaling of surface tension, vapor pressure, and viscosity are discussed. Model tests on damage to targets are not considered. A short discussion on the concept of approximate scaling is included.
- Statistics and Probability