where u is the flow velocity, g the
gravitational acceleration,
and H the fluid depth, and
the approximate phase speed
of shallow water gravity waves. A Froude number greater than unity
is indicative of what is called supercritical flow, and one less
than unity of subcritical flow.
When dealing with internal waves, an internal or densimetric Froude number is defined which corresponds to the ordinary Froude number with with the reduced gravity g' replacing g in the above. See Turner (1973) and Houze (1993).