Н.И. Сидняев, О.А. Шипилова
22
Инженерный журнал: наука и инновации
# 11·2017
Effect of underwater explosions on hydrodynamics
and the nature of perturbation propagation
© N.I. Sidnyaev, O.A. Shipilova
Bauman Moscow State Technical University, Moscow, 105005, Russia
The article presents the results of investigating a number of problems related to underwater
explosion, including a detailed analysis of structure and parameters of the wave field gen-
erated by explosive charges. We describe the formation mechanisms for a wide range of
flows in the case of shallow underwater explosions and their mathematical models. We ana-
lysed the specifics of how the shockwaves transform, how they amplify when colliding, and
the problems of bubble detonation wave forming. We show that the nature of perturbation
propagation depends on physical and chemical properties of the explosive; that for an ex-
plosive charge of a certain mass the bubble pulsation shape is largely dependent on the water
depth and the proximity of boundary surfaces; and that most of the initial gas bubble energy
goes into creating pressure pulses and turbulent motion stemming from rapid radial and ver-
tical displacements of the gas bubble. We derive equations of motion for compressible liquid
in various formulations, which makes it possible to integrate over the volume bound by the
shockwave front and the surface of the rarefaction wave following the compression wave at a
certain distance. The rarefaction and compression waves intersect on the free sea surface, in
the vicinity of which rapid expansion conditions are fulfilled. We use the equations of conser-
vation of mass, momentum and energy to derive boundary conditions.
Keywords:
underwater explosion, shockwave, pressure, gas bubble, system of equations,
boundary conditions, density, compression, sea surface
REFERENCES
[1]
Kedrinskiy V.K.
Gidrodinamika vzryva: eksperiment, modeli
[Explosion
hydrodynamics: experiment, simulations]. Novosibirsk, Siberian Branch of the
Russian Academy of Sciences Publ., 2000, 435 p.
[2]
Orlenko L.P.
Fizika vzryva i udara
[Physics of explosion and impact]. Moscow,
Fizmatlit Publ., 2006, 304 p.
[3]
Podvodnye i podzemnye vzryvy
[Underwater and underground explosions].
Nikolaevskiy V.N., translation ed. Moscow, Mir Publ., 1974, 414 p. [in Russ.].
[4]
Karlov N.E., Kirichenko N.A.
Kolebaniya, volny, struktury
[Oscillations, waves,
structures]. Moscow, Fizmatlit Publ., 2011, 497 p.
[5]
Kulikovskiy A.G., Sveshnikova E.I.
Prikladnaya matematika i mekhanika —
Journal of Applied Mathematics and Mechanics
, 2003, vol. 67, no. 1, pp. 88–98.
[6]
Sidnyaev N.I., Gordeeva N.M.
Voprosy oboronnoy tekhniki. Ser. 16.
Tekhnicheskie sredstva protivodeystviya terrorizmu — Defense Engineering
Problems. Series 16. Technical means of combating terrorism
, 2015, no. 11–12,
pp. 66–72.
[7]
Sidnyaev N.I. Teoreticheskie issledovaniya gidrodinamiki pri podvodnom
vzryve tochechnogo istochnika [Theoretic investigation of hydrodynamics in the
case of an underwater explosion of a point charge].
Dinamika vozmushcheniy v
sploshnykh sredakh: 50 let Nauchno-uchebnomu kompleksu Fundamentalnye
nauki MGTU im. N.E. Baumana. Sb. st.
[Perturbation mechanics in continuous
media: 50th anniversary of the Fundamental Sciences Scientific and Educational
Complex of Bauman Moscow State Technical University. Proc.]. Sidnyaev N.I.,
ed. Moscow, BMSTU Publ., 2013, pp. 179–200.