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Vector field fluid mechanics

  1. Nov 15, 2012 #1
    I am experiencing a little bit of trouble grasping the concept of vector fields in fluid mechanics:

    If the vector V = u i + v j + w k, where i,j,k are unit vectors in the x,y,z directions, then how can u,v,w be functions of x,y,z,t?

    I.e. if say v is in the y direction, then how can it be expressed in terms of x and z as well?

    Many thanks :)
  2. jcsd
  3. Nov 16, 2012 #2
    Think of the wind blowing in the horizontal x direction, but the speed of the horizontal wind varies with height above the ground. Say, it is 1 ft/sec at the ground, but 2 ft/sec at a height of 10 ft.
  4. Nov 16, 2012 #3
    Ah ok, I get it now! Thanks for the help :)
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