Versions Compared

Key

  • This line was added.
  • This line was removed.
  • Formatting was changed.

...

where

Mathinline
bodyp
 is pressure, 
Mathinline
body\rho
is  is density, 
Mathinline
bodyg
is  is the acceleration due to gravity, 
Mathinline
bodyH(r)
 is the height of the free surface, and 
Mathinline
bodyz
is  is height.

Geostrophic balance is between the Coriolis force and the pressure gradient force, and dominates when centrifugal force is small.

LaTeX Math Block
2 \Omega v_\theta = g \frac{\partial h}{\partial r}

where 

Mathinline
body\Omega
 is the Coriolis parameter, 
Mathinline
bodyv_\theta
 is the azimuthal velocity, 
Mathinline
bodyh
 is height and 
Mathinline
bodyr
 is radius from the tank center.

Cyclostrophic balance is between centrifugal force and the pressure gradient force, and dominates when the Coriolis force is small.

...