An Unsteady Taylor Angle Formula for Liner Collapse
Abstract
An analytical formula for determining the direction of motion for an explosively driven metal liner under unsteady conditions is presented. This direction is defined by the angle delta between the velocity vector of the liner element and the perpendicular to the initial liner surface. A formula for determining the angle delta was first proposed by G.I. Taylor as sin delta = V/ 2U, where V is the final liner element velocity and U is the velocity by which the detonation wave front sweeps past the liner. This formula is, however, accurate only under steady-state conditions where the detonation wave sweeps past identical cross sections of the explosive-liner geometry. For non-steady cases, the Taylor formula is not applicable since the existence of a velocity gradient or a gradient of the typical acceleration duration along the liner may significantly affect the angle delta. The new formula is tested against both numerical calculations and experimental data and predicts the angle delta more accurately than the steady Taylor formula. The derivation of the formula along with a comparison of its predictions for the angle delta with previous experimental work and two-dimensional code calculations for both a conical- shaped charge and exploding cylinder are presented in this report. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1981
- Accession Number
- ADA104682
Entities
People
- Eitan Hirsch
- Pei Chi Chou
- Robert D. Ciccarelli