Force in Bent Pipe: Why is P1=P2?

  • Thread starter Thread starter foo9008
  • Start date Start date
  • Tags Tags
    Force Pipe
Join the discussion
Ask a follow-up here, or get your own question answered by working scientists, mathematicians and engineers — people, not an autocomplete.
Real named experts · corrections over time · the nuance an AI answer skips
7 replies · 2K views
Physics news on Phys.org
foo9008 said:

Homework Statement



refer to part 8.2 in this problem , why P1 = P2 ?

http://www.efm.leeds.ac.uk/CIVE/CIVE1400/Examples/eg6_ans.htm

The Attempt at a Solution


there's some elevation between inlet and outlet , how can P1 = P2 , is the author wrong ? [/B]
The author is right. There is atmospheric pressure at inlet and outlet.

In their analysis, they are also neglecting the elevation difference between inlet and outlet and also the weight of the fluid.
 
  • Like
Likes   Reactions: foo9008
Chestermiller said:
The author is right. There is atmospheric pressure at inlet and outlet.

In their analysis, they are also neglecting the elevation difference between inlet and outlet and also the weight of the fluid.
Chestermiller said:
The author is right. There is atmospheric pressure at inlet and outlet.

In their analysis, they are also neglecting the elevation difference between inlet and outlet and also the weight of the fluid.
why the elevation difference between inlet and outlet can be neglected ?
 
Chestermiller said:
The author is right. There is atmospheric pressure at inlet and outlet.

In their analysis, they are also neglecting the elevation difference between inlet and outlet and also the weight of the fluid.
P1 and P2 are not atmospheric pressure as shown in the calculation , why P1 = P2?
 
foo9008 said:
why the elevation difference between inlet and outlet can be neglected ?
Because the static pressure difference between the inlet and outlet elevations is small compared to the pressure exerted on the surface of the blade, and the weight of the fluid in the control volume is small compared to force exerted by the blade to change the direction of the fluid jet.
 
Chestermiller said:
Because the static pressure difference between the inlet and outlet elevations is small compared to the pressure exerted on the surface of the blade, and the weight of the fluid in the control volume is small compared to force exerted by the blade to change the direction of the fluid jet.
this is the(hand-written) question that i wish to ask , but then , i found the somewhat the same typed question on the internet , so i copy the link and ask here . ok , it's much clearer now .

how do we know that the static pressure difference between the inlet and outlet elevations is small compared to the pressure exerted on the surface of the blade?
 
foo9008 said:
this is the(hand-written) question that i wish to ask , but then , i found the somewhat the same typed question on the internet , so i copy the link and ask here . ok , it's much clearer now .

how do we know that the static pressure difference between the inlet and outlet elevations is small compared to the pressure exerted on the surface of the blade?
We can calculate each of them and compare their magnitudes. The problem statement also inherently implies that you can neglect the elevation change, since it doesn't even give you the inlet and outlet elevations, and it assumes that the velocity and thickness of the jet doesn't change: "75mm wide and 25mm thick, strike the vane with a velocity of 25m/s."
 
Last edited: