INVESTIGATION OF WAVE PROPAGATION VELOCITIES IN FLUID MIXTURES

摘要

In order to determine the wave propagation velocities in fluid mixtures, the mixtures are approximated by block structures. These structures consist of identical cells containing eight blocks. The blocks may be filled with different fluids. In block structures, the passage to the limit is carried out under the conditions that the sizes of blocks tend to zero but the relative sizes of blocks remain constant. In the general case, the average wave field satisfies the equations of anisotropic fluids. Two special cases of mixtures of two fluids are considered. In the first case, both fluids are intermixed completely. In the second case, there are periodic inclusions of one fluid into the other. In both cases, the fluid mixtures are homogeneous and isotropic, and formulas for the velocities are obtained. These formulas determine the dependence of the velocities on the percent composition and the parameters of two mixed fluids. The velocity of propagation in the fluid mixture does not exceed the greatest velocity but may be less than the least velocity in mixed fluids.