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Coriolis effect and curl

  1. Oct 24, 2014 #1
    Two quick questions. Does the Coriolis effect mean that in the northern hemisphere the curl will always have a negative value and in the southern hemisphere a postive one? Is the curl in the eye of the cyclones equal to zero?
    Thanks.
     
  2. jcsd
  3. Oct 24, 2014 #2

    Matterwave

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    The Coriolis effect is proportional to ##-2(\vec{\omega}\times\vec{v})## where ##\vec{\omega}## is pointing up out of the North pole, along the axis of Earth's rotation. Whether this curl is positive or negative depends on the vector ##\vec{v}## and can not be generalized to "northern vs southern hemisphere" effects. However, if something (say a bullet) is moving initially along a straight line in the Northern hemisphere, its trajectory will be deflected (by the Coriolis force) in a clockwise direction, while in the Southern hemisphere the trajectory would be deflected in a counter-clock-wise direction.
     
  4. Oct 24, 2014 #3

    Meir Achuz

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    By "curl" do you mean [itex]\nabla\times[/itex] or something else?
     
  5. Oct 24, 2014 #4

    Matterwave

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    Haha! I had a brain fart and associated a cross product ##\vec{\omega}\times\vec{v}## as a curl. Now I'm not sure what the OP is asking.
     
  6. Oct 25, 2014 #5
    Yes i meant ∇×. Sorry im not english native speaker, searched for the translation and that's the best i had.
     
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