Internal waves are gravity waves that oscillate within, rather than on the surface of, a fluid medium. They are one of many types of wave motion in stratified fluids (another example being Lee waves). A simple example is a wave propagating on the interface between two fluids of different densities, such as oil and water. Internal wave motions are ubiquitous in both the ocean and atmosphere, where they create wave clouds. Nonlinear solitary internal waves are called solitons.
Suppose a water column is in hydrostatic equilibrium and displace a small packet of fluid with density Failed to parse (Missing texvc executable; please see math/README to configure.): \rho_0
. The balance between the force of gravity and the buoyant restoring force is disturbed, and the motion of the packet obeys the equation
where Failed to parse (Missing texvc executable; please see math/README to configure.): g
The Brunt–Väisälä frequency is an upper limit for the frequency in actual internal waves.
Most people think of waves as a surface phenomenon, which acts between water (as in lakes or oceans) and the air. Where low density water overlies high density water in the ocean, internal waves propagate along the boundary. They are especially common over the continental shelf regions of the world oceans and where brackish water overlies salt water at the outlet of large rivers. There is typically little surface expression of the waves, aside from slick bands that can form over the trough of the waves.
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