Abstract (Invited) |
Acoustics of Aqueous Foams Contain
Solid Particles
I.Shreiber (Department of Mecanical
Engineering, Ben-Gurion University of the Negev, Beer-Sheva, Israel);
I.Goldfarb (Department of Mathematics, Ben-Gurion University of the Negev,
Beer-Sheva, Israel); V.Feklistov (Institute for the Earth Cryosphere, Siberian
Branch RA of Sciences, Tyumen, Russia)
e-mail:
isaak@bgumail.bgu.ac.il
Results
of theoretical and experimental study of acoustics of three-phase foams
(gas-liquid foam, a liquid phase of which contains solid particles)are
presented in the paper. The research focuses on the peculiarities of the
acoustic waves propagation through the three-phase foams. It is shown that a
small concentration of the solid particles leads to the growth of the sound
wave velocity and increasing of attenuation coefficient. It is found that when
the concentration of the solid particles becomes large enough, the attenuation
coefficient decreases sharply. In accordance with the suggestion made the
hydrodynamic resistance erupting due to liquid flow throw a system of the
Plateu-Gibbs channels mainly governs the phenomenon of attenuation. A small
addition of the particles increases the hydrodynamic resistance and causes the
growth of the attenuation coefficient. When the concentration of the particles
overcomes some critical value, they "cork up" the Plateu-Gibbs
channels and liquid flow throw them becomes impossible. In turn the impact of
the hydrodynamics into the attenuation coefficient becomes close to zero and
its total value falls down. A dependence of theoretical value of solid
particles concentration on the problem parameters is investigated. The results
of the theoretical study are verified by the experimental measurements and
numerical simulations. The comparison demonstrates a good accuracy of the
suggested model.
Section
: 4