1. Mar 4, 2010 #1

   abcdefg10645

   

   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:

   • 

     Untitled 1.pdf

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     10.7 KB

     Views:

     88

   abcdefg10645, Mar 4, 2010
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3. Mar 5, 2010 #2

   cortiver

   

   Your equation is a relation between vectors, but you can prove it by considering each vector component separately and applying the divergence theorem.

    

   cortiver, Mar 5, 2010
4. Mar 5, 2010 #3

   Pythagorean

   

   Gold Member

   Iirc, you can get at it from conservation of mass:
   
   dm=o
   d(pV) =0
   (product rule)
   etc...

    

   Pythagorean, Mar 5, 2010
5. Mar 7, 2010 #4

   abcdefg10645

   

   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~

    

   abcdefg10645, Mar 7, 2010

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