An equation in fluid dynamic ~please help me ~

  • #1

Main Question or Discussion Point

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 ?
 

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  • #2
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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 ?
Your equation is a relation between vectors, but you can prove it by considering each vector component separately and applying the divergence theorem.
 
  • #3
Pythagorean
Gold Member
4,191
253
Iirc, you can get at it from conservation of mass:

dm=o
d(pV) =0
(product rule)
etc...
 
  • #4
Iirc, you can get at it from conservation of mass:

dm=o
d(pV) =0
(product rule)
etc...
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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