Question
Assume the y-component of the momentum equation to just consist of v/ t = -(1/ 0 ) p/ y, where v is the y-component of
Assume the y-component of the momentum equation to just consist of v/t =
-(1/0) p/y, where v is the y-component of the velocity vector, r0 is a constant reference density, and p is pressure. By using the vertical component of the momentum equation in its hydrostatic form, one can express the pressure gradient p/y at some reference depth in terms of the associated horizontal gradient in sea-surface elevation /y.
Show how this works. Then sketch /y < 0 in y-z space, and illustrate in which direction v would accelerate locally as a result of the given gradient of .
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