An equation in fluid dynamic ~please help me ~

  • #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 ?
 

Attachments

  • Untitled 1.pdf
    10.7 KB · Views: 139

Answers and Replies

  • #2
46
0
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
4,214
272
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~
 

Related Threads on An equation in fluid dynamic ~please help me ~

Replies
4
Views
1K
  • Last Post
Replies
1
Views
689
  • Last Post
4
Replies
92
Views
7K
Replies
2
Views
5K
Replies
7
Views
2K
  • Last Post
Replies
4
Views
2K
Replies
4
Views
3K
  • Last Post
Replies
2
Views
2K
  • Last Post
Replies
3
Views
3K
Top