ISSN 1063-7710, Acoustical Physics, 2007, Vol. 53, No. 2, pp. 119–122. © Pleiades Publishing, Ltd., 2007.
Original Russian Text © G.A. Volkov, A.A. Gruzdkov, Yu.V. Petrov, 2007, published in Akusticheskiœ Zhurnal, 2007, Vol. 53, No. 2, pp. 149–152.
119
INTRODUCTION
Cavitation is understood as the breaking of continu-
ity of a liquid by an external action. Depending on the
nature of this action, it is customary to distinguish
between hydrodynamic and acoustic cavitations.
Acoustic cavitation occurs under the effect of a sound
field that produces a negative pressure in the liquid and,
hence, leads to the growth of vapor-gas bubbles. These
bubbles, which are called cavitation nuclei, originate at
solid microparticles or molecules of a dissolved gas.
Conventionally, it is agreed that the cavitation
strength of a liquid is characterized by the cavitation
threshold, which is understood as the negative pressure
beyond which a fast growth of cavitation nuclei is
observed. The results of measuring the cavitation
threshold are reported by many authors, and the analy-
sis of these data makes it possible to reveal a number of
regularities. In particular, the experiments on acoustic
cavitation show that, at relatively low radiation fre-
quencies, the cavitation threshold value exhibits no fre-
quency dependence. This value is called the static cav-
itation threshold. At the same time, at higher frequen-
cies, the experimental data are characterized by a
considerable spread and the value of the cavitation
threshold grows with increasing frequency [1–4].
A sharp rise of the threshold pressure amplitude is
explained as follows. The physical nature of cavitation
consists in the development of a structure of cavitation
nuclei in the region of reduced pressure. Since the cav-
itation is a process developing in time, for its onset not
only the critical pressure value should be reached, but
also a certain time interval is necessary within which
this pressure is maintained. This statement is supported
by the experimental data on cavitation-caused fracture
under a short pulsed loading [5]. With an increase in the
sound wave frequency, the duration of time intervals
within which the pressure is tensile decreases.
The above-mentioned facts suggest that, at high fre-
quencies of sound waves, the cavitation threshold can-
not adequately characterize the cavitation strength and
must be complemented with some other parameters. It
should also be noted that prediction of the conditions
for the development of cavitation is of practical interest,
because cavitation imposes a natural limit on the radia-
tion power of hydroacoustic arrays [6].
THE INCUBATION TIME CRITERION
Since the strength largely depends on the time
parameter, it is reasonable to describe the strength
properties of a liquid by the characteristic time of the
development of the structure of cavitation nuclei, which
should determine the scale on the time axis. We will call
this quantity the incubation time. For determining the
acoustic cavitation threshold, we take the criterion that
was used in [5] for the case of pulsed loading. This cri-
terion has the form
(1)
1
τ
-- Pt ' ( ) ( ) sgn
Pt ' ( )
P
s
-----------
α
t ' 1, ≥ d
t τ –
t
∫
PHYSICAL ACOUSTICS
The Incubation Time Criterion and the Acoustic Strength
of Sea Water
G. A. Volkov, A. A. Gruzdkov, and Yu. V. Petrov
St. Petersburg State University, Universitetskaya nab. 7/9, St. Petersburg, 199164 Russia
Institute of Problems of Machine Science, Russian Academy of Sciences,
Vasil’evskii Ostrov, Bol’shoi pr. 61, St. Petersburg, 199178 Russia
e-mail: gruzdkov@mail.ru
Received December 8, 2005
Abstract—The approach based on the incubation time concept is used to analyze experimental data on acoustic
cavitation in degassed water and in sea water. Earlier, a similar approach proved to be effective in analyzing the
cavitation due to pulse loading and in studying the dynamic strength of solids. The proposed criterion takes into
account the existence of the static cavitation threshold for low-frequency loading and makes it possible to
explain the growth of the cavitation threshold for high-frequency loading, as well as the appreciable spread in
experimental data.
PACS numbers: 43.35.Ei, 62.60.+v
DOI: 10.1134/S1063771007020017