- #1
escobar147
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A pipeline is 8 km long and is required to convey water from a reservoir, at 500 m
above datum, to the intake of a water treatment works at 425 m above datum. If
the pipe has a diameter of 225 mm, what is the discharge of water through the
pipe? The density of water is 1000 kg/m3.
relevant equations:
bernoullis Energy Conservation:
P1/ρg + u1^2/2g + z1 = p2/ρg + u2^2/2g + z2
mass conservation equation:
U1A1 = U2A2
Q1 = Q2
U1 = 0 Since the resovoir is stationary,
p1 = ρgh p2 = ρgh
putting values into bernoullis:
4905000/9810 + 500 = 4169250/9810 + u2^2/19.62 + 425
150 = u2^2/19.62
u2^2 = 2943
√2943 = 54.24 m/s
at this point the answer should be: 38.36 m/s
and the final answer should be: Q = 1.525m^3/s
i am completely lost, any help would be massively appreciated!
above datum, to the intake of a water treatment works at 425 m above datum. If
the pipe has a diameter of 225 mm, what is the discharge of water through the
pipe? The density of water is 1000 kg/m3.
relevant equations:
bernoullis Energy Conservation:
P1/ρg + u1^2/2g + z1 = p2/ρg + u2^2/2g + z2
mass conservation equation:
U1A1 = U2A2
Q1 = Q2
The Attempt at a Solution
U1 = 0 Since the resovoir is stationary,
p1 = ρgh p2 = ρgh
putting values into bernoullis:
4905000/9810 + 500 = 4169250/9810 + u2^2/19.62 + 425
150 = u2^2/19.62
u2^2 = 2943
√2943 = 54.24 m/s
at this point the answer should be: 38.36 m/s
and the final answer should be: Q = 1.525m^3/s
i am completely lost, any help would be massively appreciated!