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G163S10L11_vorticity&amp;western_intensification

# G163S10L11_vorticity&amp;western_intensification -...

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Vorticity Measure of angular momentum for a fluid Tendency of a parcel to rotate Two components of vorticity  relative (angular momentum in rotating frame)  planetary (rotation of the frame) Important for understanding western  boundary currents

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Relative Vorticity Positive Negative Relative vorticity,  ζ , is driven by shears in  the flow field
Relative Vorticity Positive Negative   Negative       Positive  anti-cyclonic      cyclonic

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The Sign of Vorticity   Negative       Positive      anti-cyclonic           cyclonic
Relative Vorticity Positive Negative Relative vorticity is defined as            ζ  =  v/ x -  u/ y East x or u direction North  y or v direction

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Example of Relative Vorticity Northward velocity increases as a  function of x distance (@ 34 o N) Relative vorticity is positive East x or u direction North  y or v direction 10 cm/s 500 km
Relative Vorticity Relative vorticity is defined as                    ζ   v/ x -  u/ y  =   v/ Change in  v is 0.1 m/s for  x = 500 km Relative vorticity ( ζ ) =  v/ x =  (0.1 m / s) / (500x10 3  m) = 2x10 -7  s -1

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Another Example Eastward velocity decreases as a  function of y (north) distance East x or u direction North  y or v direction 10 cm/s 500 km
Relative Vorticity Relative vorticity is defined as                     ζ  =  v/ x -  u/ y  =  -  u/ y Change in  u is 0.1 m/s for  y = 500 km Relative vorticity ( ζ ) = -  u/ y = - (- 0.1 m / s) / (500x10 3  m) = 2x10 -7  s -1

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Relative Vorticity Relative vorticity,  ζ  =  v/ x -  u/ y v/ x > 0 ->  ζ  > 0 u/ y < 0 ->  ζ  >  0 + + cyclonic vorticity
Relative Vorticity Relative vorticity,  ζ  =  v/ x -  u/ y v/ x < 0 ->  ζ  < 0 u/ y > 0 ->  ζ  < 0 -  - anti-cyclonic vorticity

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Planetary Vorticity
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