The theory of singular perturbations in a unified formulation is used, for the first time, to study the propagation of two-dimensional periodic perturbations, including capillary and gravitational surface waves and accompanying ligaments in the 10−4<ω<103  s−1 frequency range, in a viscous continuously stratified fluid. Dispersion relations for flow constituents are given, as well as expressions for phase and group velocities for surface waves and ligaments in physically observable variables. When the wave-length reaches values of the order of the stratification scale, the liquid behaves as homogeneous. As the wave frequency approaches the buoyancy frequency, the energy transfer rate decreases: the group velocity of surface waves tends to zero, while the phase velocity tends to infinity. In limiting cases, the expressions obtained are transformed into known wave dispersion expressions for an ideal stratified or actually homogeneous fluid.

No abstract

No abstract

An analytical expression is constructed to estimate the influence of a surface electric charge on the drift velocity caused by the propagation of a wave packet on a horizontal surface of an ideal fluid. It has been shown that the surface electric charge affects the drift most effectively if the wavenumber of the carrier wave is equal to the inverse value of the capillary constant. Common regularities of the drift motion are established.

No abstract