Ogorodnikov I. A., Borodulin V. Yu.
The model equations of motion of a heterogeneous medium are developed. The model does not use the process of determining the average properties of inhomogeneities. It is assumed that the medium are liquids or gases, which act as the carrier medium. Particles of another state of aggregation can be arbitrary distributed in the carrier medium. For example, it may be near-surface layer of the ocean. Here, the gas bubbles can be considered as particles of inhomogeneities in a homogeneous medium. The model includes the equation of conservation of mass, momentum, angular momentum and energy in relation to the carrier medium. The particles are sources of mass, momentum, angular momentum and energy in relation to the carrier medium. The movement of the particles occurs due to interfacial forces and other internal and external forces. As an application to the problems of the hydrophysics field research, it was derived non-linear system of equations for the wave propagation in liquid with gas bubbles. Verification of wave equations carried out by comparing the numerical solutions with experimental data. The model quantitatively describes the effects observed in the experiments. This suggests that the proposed approach for the description of wave propagation in a liquid with bubbles is applicable in a very wide range of conditions.
