• Support PF! Buy your school textbooks, materials and every day products Here!

Velocity of fluid through a spherical surface

  • Thread starter racnna
  • Start date
  • #1
40
0
Fluid flows with velocity 2i - 3j m/s at point P having coordinates (1,2,4). Consider a plane through P which is normal to the vector b=-i+2k. What is the speed at which the fluid passes through the plane?

Should I do the dot product of the position vector P=[1,2,4] and b vector, then multiply this by unit vector that is in the direction of the b vector, and then dot the result with the velocity vector?? i did this and got a negative velocity!! HELP
 

Answers and Replies

  • #2
19,661
3,978
Fluid flows with velocity 2i - 3j m/s at point P having coordinates (1,2,4). Consider a plane through P which is normal to the vector b=-i+2k. What is the speed at which the fluid passes through the plane?

Should I do the dot product of the position vector P=[1,2,4] and b vector, then multiply this by unit vector that is in the direction of the b vector, and then dot the result with the velocity vector?? i did this and got a negative velocity!! HELP
The volumetric flux of fluid (volume per unit area = normal component of velocity) is equal to the velocity dotted with a unit normal to the plane.
 

Related Threads for: Velocity of fluid through a spherical surface

Replies
9
Views
1K
  • Last Post
Replies
2
Views
878
Replies
1
Views
7K
  • Last Post
Replies
5
Views
2K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
6
Views
5K
Replies
1
Views
2K
Top