Please help understanding the effects of a stream which is flowing through a tube. I've prepared the following problem for discussion.
See the attachment for further detail and calculate the following:
- V1 and V3
- Force pushing tube to the left
- Force pushing tube to the right
- Net force acting on the tube (x dir) and which way it is acting (right or left).
Please refer to the attachment.
Using Bernoulli's equation and the steady flow momentum relation calculate the net force on a tube from a dynamic pressure drop and a water flow stream flowing through the tube.
See attachment for problem and calculate the following:
1) V1 and V3
2) Force pushing tube to left
3) Force pushing tube to right
4) Net force acting on tube (x dir) and which way (right or left)
1) First of all, I prefer to work in SI units. For convenience, I can convert afterwards in British units too.
Pext = 4500 psi = 310.3 bar
Pa = 14.5 psi = 1 bar
D1 = 1.75 in = 0.044 m
D2 = 2.0 in = 0.051 m
Da = 0.5 in = 0.013 m
V2 = V4 = 802 ft/s = 244.4 m/s
The equations that we need to apply in order to solve the problem are:
Bernoulli's equation between the inlet and outlet of each side tube (which is the same, since V2 = V4):
pext = total pressure at the inlet of each side tube
pa = static pressure at the outlet of each side tube and inlet of downward tube
Δp = pressure losses in side tubes, which are the same in both tubes, since
V2 = V4 and ...
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