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An equation in fluid dynamic ~please help me ~

  1. Mar 4, 2010 #1
    When I studied the fluid dynamic , I saw a quite hard equation (typed in attached file) ,

    I don't know how to prove it , maybe there's a somehow relationship between this eq with Gauss's Divergence Theorem ...

    Can anyone help me ?

    Attached Files:

  2. jcsd
  3. Mar 5, 2010 #2
    Your equation is a relation between vectors, but you can prove it by considering each vector component separately and applying the divergence theorem.
  4. Mar 5, 2010 #3


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    Gold Member

    Iirc, you can get at it from conservation of mass:

    d(pV) =0
    (product rule)
  5. Mar 7, 2010 #4
    Well,I cannot fully understand what the term "etc" mean , could you be more explicit , or can you just type the solution to this annoying question ?

    Thanks again if I get any reply~
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