Equations of Motion Exercises
[some borrowed from Wilkins http://marine.rutgers.edu/dmcs/ms501/2004/NotesWilkin/]
Coriolis Parameter
From Knauss
Equations of Motion
Here are the equations of motion for a fluid in the ocean on a rotating sphere (the Earth)
Where f is the Coriolis parameter
f is the Coriolis parameter 2Ωsin (latitude)
Ω = 2π/(86164 seconds) = 7.29 x 10-4 s-1
typical f at latitude 45o is 10-4 s-1
Identify each part of the equations
Margules Equation
Thermal Wind
Types of Motion – Inertial
In inertial motion there is
No pressure gradient
No Friction
No spatial gradients of velocity
The wind has stopped blowing but the water is moving
What do the equations look like now?
The solution to these differential equations is
[put in how solved]
Where f is the Coriolis parameter