
528 Ballistics: Theory and Design of Guns and Ammunition
But β → 0 as α → 0 so
(18.13)
Thus, the maximum jet velocity can never exceed twice the detonation velocity of the
explosive.
Another noteworthy observation is that as α → 0 and β → 0, V
s
→ 0. Also as α → 0, we
approach a cylindrical geometry of the liner. Cylindrical liners are well known for their
high velocity and low mass jets. If we could somehow generate an explosive wave that
moved perpendicular to a conical liner, we would see that β = α and the velocities of the jet
and slug, respectively, could be expressed as
V
j
0
1
(cos )
α
(18.14)
V
s
0
1
cos
α
(18.15)
With t