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# Accession Number:

## AD0608870

# Title:

## LATE-STAGE EQUIVALENCE AND SIMILARITY THEORY FOR ONE-DIMENSIONAL IMPACTS,

# Descriptive Note:

# Corporate Author:

## GENERAL DYNAMICS SAN DIEGO CALIF GENERAL ATOMIC DIV

# Report Date:

## 1964-11-10

# Pagination or Media Count:

##
32.0

# Abstract:

## Slabs impacting on a semi-infinite target are shown to induce a one-dimensional shock-wave system which can be described analytically if the target has a perfect-gas equation of state. The flow is of the similarity type at late times, and a hydrodynamic code example is used to demonstrate that flows which are not initially selfsimilar become so asymptotically. The exact solution for a perfect-gas equation of state whose ratio of specific heats is 75 is discussed, and it is shown that the product of energy and momentum for the flow is constant and equal to the product for the impacting slab. Hence, all impacts with the same value of this product are equivalent at late times. The explanation of this result in terms of the free surface condition is shown. The solution for general specific-heat ratios is obtained by relating it to other one-dimensional analytical work. Author

# Distribution Statement:

## APPROVED FOR PUBLIC RELEASE

#