Extension of the Gurney Equations to Two Dimensions for a Cylindrical Charge

Report No. ARL-TR-5467
Authors: Benjamin A. Breech
Date/Pages: March 2011; 22 pages
Abstract: We provide a two-dimensional extension to the traditional Gurney equations describing the velocity of fragments from an exploding charge. Our approach differs from the recent Tie-peng et al. publication by applying different underlying assumptions that may be more physically realistic. We demonstrate the procedure by computing the fragment velocity from an detonating cylindrical charge surrounded by a thin shell with metal plates on top and bottom. We also demonstrate that under specific conditions, the the results of Tie-peng et al. 's approach and ours are identical.
Distribution: Approved for public release
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Last Update / Reviewed: March 1, 2011