Geostrophic Flow and Wind-Driven Ocean Currents Depending on the Spatial Dimensionality of the Medium

摘要

An approach based on noninteger fractional dimension is used to derive extended forms of the Navier-Stokes equations in order to describe geostrophic flow and wind-driven ocean current motion. The equations give rise to several features not obtained in the conventional formalism, which are discussed in some detail. This study demonstrates that the spatial dimensionality of the medium plays a crucial role in rotating fluids and ocean physics, and besides the extended Navier-Stokes equations could be used to describe turbulent ocean physical models.