Finding the total pressure acting on a submarine

  • Thread starter strine07
  • Start date
  • #1
4
0
Hello I'm having trouble with answering this question: Certain submarines are capable of speeds in excess of 30 knots. What is the total pressure sensed at the nose of a submarine if the vessel is at periscope depth (5 m) and a speed of 30 knots? (Assume a constant sea-water density of 1030 kg/m3.) What height would the captain read on a mercury manometer that sensed this total pressure?
I know the equations Po=Ps + (1/2)(rho)(V)^2 and dP=(rho)(g)(dh) but am having trouble finding the static pressure in order to find the total pressure.
 

Answers and Replies

  • #2
35,144
11,395
A depth of 0m corresponds to air pressure (~1.013*10^5 N), your equation for dP allows to add the 5m of water between nose and surface.
 
  • #3
208
0
The second equation should be enough. The submarine will experience this pressure over its surface area. So the mercury manometer will sense this pressure. The hard part would be to calculate the "lift" of the submarine, for which you could use Newton's method.
 
  • #4
882
34
Keep in mind that the nose may see a stagnation point, you won't necessarily see the same total pressure (static and dynamic) as other parts of the vessel.
 

Related Threads on Finding the total pressure acting on a submarine

Replies
7
Views
2K
  • Last Post
Replies
2
Views
2K
  • Last Post
Replies
4
Views
3K
Replies
9
Views
4K
  • Last Post
Replies
1
Views
3K
Replies
4
Views
15K
  • Last Post
Replies
3
Views
982
  • Last Post
Replies
10
Views
7K
Replies
10
Views
859
Replies
2
Views
486
Top