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Journal of Applied Mechanics and Technical Physics

2002 year, number 1

Equations of dynamics of a mixture composed of a gas and hollow selective-permeable microspheres

S. V. Dolgushev, V. M. Fomin
Institute of Theoretical and Applied Mechanics,
Siberian Division, Russian Academy of Sciences, Novosibirsk 630090

Abstract

Based on the laws of conservation of
mass, momentum, and energy, equations of
dynamics of multiphase systems, which
are gas mixtures with hollow
microspheres with selectively permeable
shells, are obtained under the
assumption of quasi<!dash!>steadiness of
the process offilling the microspheres
by the gas. Acoustic characteristics of
the system composed of a uniform gas and
hollow permeable microspheres are
studied using a simplified (one-velocity
and one-temperature)model. The frequency
dependences of velocity and damping
coefficient of sound are determined with
regard for gas density
(pressure)relaxation inside the
microspheres. P. 69-75