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Approximate treatment of a strong explosion and expansion in a near vacuum

Thornton, A.L.

The hydrodynamic blast created by the initiation of a 1 kev X-ray source from an arc-induced ionized gas column, involves density and temperature ratios of such magnitude that the strong shock theory of propagation from continuum fluid mechanics does not apply. Because these simulations occurs in a near vacuum, the continuum equations of motion break down and become invalid during the expansion process as the wavefront density decreases. This report summarizes an approximate treatment of the hydrodynamics of a strong explosion followed by an expanding wavefront in a near vacuum. The analysis was performed in support of the Saturn program to assist the test engineers in the design of a shroud which is optimized to receive the maximum cold X-ray radiation through its aperture while minimizing the hydrodynamic damage to the rest specimens. The analytical treatment uses mass conversion and the assumption of a liner velocity profile to assess the dynamic behavior of the developing wavefront. This technique provides a first estimate of the gas motion and pressure pulse and indicates some general trends of the hydrodynamic phenomenon. 9 refs., 16 figs., 1 tab.