On the determination of the absolute velocity of steady flows of a baroclinic fluid with applications to ocean currentsстатья
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Дата последнего поиска статьи во внешних источниках: 22 декабря 2021 г.
Аннотация:The problem of determining the absolute velocity of marine currents, including its barotropic
component, is revisited. A generalization of the classical Needler’s formula is discussed for a
Boussinesq fluid and it is shown that the steady flow solution can be deduced from a variational
principle that uses the constants of motion existing in the problem. A simple model of a steady
flow is considered when the Bernoulli function consists of two terms. The first term is proportional
to the square of Ertel’s potential vorticity and the second term is a quadratic function of the
fluid buoyancy. This model is applied to mimic the circulation in the western Mediterranean Sea
near the African coast. Alternatively, “potential temperature – salinity” coordinates are applied to
construct the stream-tubes and infer the steady flow velocity in the simplest case of the Bernoulli
function being proportional to the product of the above two variables.