REMARKS ON SIMILARITY SOLUTIONS FOR HYPERVELOCITY IMPACT
GENERAL DYNAMICS SAN DIEGO CA GENERAL ATOMIC DIV
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The use of similarity flows is discussed in certain hydrodynamic impact problems, as a basis for approximate analytical solutions. After a qualitative discussion of various ways in which such solutions may be obtained, a single derivation is obtained of a class of oneparameter similarity flows for problems in 1, 2 and 3 dimensions, which includes substantially all those used previously, and allows the superposition of constant uniform motions. The perturbation equations which relate the asymptotic form of the actual solution to such similarity flows under some conditions are explicitly formulated and the equations of the characteristic surfaces which determine their behavior are derived.
- Fluid Mechanics