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geophysical fluid dynamics : ウィキペディア英語版
geophysical fluid dynamics

Geophysical fluid dynamics is the study of naturally occurring, large-scale flows on Earth and other planets. It is applied to the motion of fluids in the ocean and outer core, and to gases in the atmosphere of Earth and other planets. Two features that are common to many of the phenomena studied in geophysical fluid dynamics are rotation of the fluid due to the planetary rotation and stratification (layering). The applications of geophysical fluid dynamics do not generally include the circulation of the mantle, which is the subject of geodynamics, or fluid phenomena in the magnetosphere. Smaller scale flow features (those negligibly influenced by the rotation of the Earth) are the province of fields such as hydrology, physical oceanography and meteorology.
== Fundamentals ==

To describe the flow of geophysical fluids, equations are needed for conservation of momentum (or Newton's second law) and conservation of energy. The former leads to the Navier-Stokes equations. Further approximations are generally made. First, the fluid is assumed to be incompressible. Remarkably, this works well even for a highly compressible fluid like air as long as sound and shock waves can be ignored.〔 Second, the fluid is assumed to be a Newtonian fluid, meaning that there is a linear relation between the shear stress and the strain , for example
: \tau = \mu \frac,
where is the viscosity.〔 Under these assumptions the Navier-Stokes equations are
:
\overbrace}_\\
\text
\end} +
\underbrace}_
\end}\Big)}^_ \\
\text
\end} +
\underbrace}}^}_ \\
\text \\
\text
\end}.

The left hand side represents the acceleration that a small parcel of fluid would experience in a reference frame that moved with the parcel (a Lagrangian frame of reference). In a stationary (Eulerian) frame of reference, this acceleration is divided into the local rate of change of velocity and advection, a measure of the rate of flow in or out of a small region.
The equation for energy conservation is essentially an equation for heat flow. If heat is transported by conduction, the heat flow is governed by a diffusion equation. If there are also buoyancy effects, for example hot air rising, then natural convection can occur.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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