Оценка скорости детонации при диаметрах зарядов, близких к критическим

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С.Г. Андреев
22 Инженерный журнал: наука и инновации # 3·2017
Estimating detonation velocity for near-critical
charge diameters
© S.G. Andreev
Bauman Moscow State Technical University, Moscow, 105005, Russia
The study suggests a system of equations connecting state and motion variables for a
reaction flow at a sonic surface and a spherically shaped detonation wave shock front in
a cylindrical charge of a near-critical diameter. Using simplifying assumptions, we ob-
tained a dimensionless equation for the non-ideal detonation velocity as a function of
charge diameter. The boundary inside which a solution to this equation exists determines
critical conditions for steady detonation propagation. We defined a dimensionless group
greatly affecting the non-ideal detonation velocity, along with its parameters determining
the critical detonation diameter depending on extra explosive material characteristics.
This group is the ratio of the energy removal timescale to the energy release timescale.
Keywords: non-ideal detonation, critical diameter, stream surface expansion, radial
component gradient, mass velocity, spherical shock front, formal chemical kinetics
equation
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