Fluid Mechanics (2nd Edition)
2nd Edition
ISBN: 9780134649290
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 5, Problem 62P
To determine
The velocity of the water at C and the diameter d of the opening at D.
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Problem (17): water flowing in an open channel of a rectangular cross-section with width (b) transitions from a
mild slope to a steep slope (i.e., from subcritical to supercritical flow) with normal water depths of (y₁) and
(y2), respectively.
Given the values of y₁ [m], y₂ [m], and b [m], calculate the discharge in the channel (Q) in [Lit/s].
Givens:
y1 = 4.112 m
y2 =
0.387 m
b = 0.942 m
Answers:
( 1 ) 1880.186 lit/s
( 2 ) 4042.945 lit/s
( 3 ) 2553.11 lit/s
( 4 ) 3130.448 lit/s
Problem (14): A pump is being used to lift water from an underground
tank through a pipe of diameter (d) at discharge (Q). The total head
loss until the pump entrance can be calculated as (h₁ = K[V²/2g]), h
where (V) is the flow velocity in the pipe. The elevation difference
between the pump and tank surface is (h).
Given the values of h [cm], d [cm], and K [-], calculate the maximum
discharge Q [Lit/s] beyond which cavitation would take place at the
pump entrance. Assume Turbulent flow conditions.
Givens:
h = 120.31 cm
d = 14.455 cm
K = 8.976
Q
Answers:
(1) 94.917 lit/s
(2) 49.048 lit/s
( 3 ) 80.722 lit/s
68.588 lit/s
4
Problem (13): A pump is being used to lift water from the bottom
tank to the top tank in a galvanized iron pipe at a discharge (Q).
The length and diameter of the pipe section from the bottom tank
to the pump are (L₁) and (d₁), respectively. The length and
diameter of the pipe section from the pump to the top tank are
(L2) and (d2), respectively.
Given the values of Q [L/s], L₁ [m], d₁ [m], L₂ [m], d₂ [m],
calculate total head loss due to friction (i.e., major loss) in the
pipe (hmajor-loss) in [cm].
Givens:
L₁,d₁
Pump
L₂,d2
오
0.533 lit/s
L1 =
6920.729 m
d1 =
1.065 m
L2 =
70.946 m
d2
0.072 m
Answers:
(1)
3.069 cm
(2) 3.914 cm
( 3 ) 2.519 cm
( 4 ) 1.855 cm
TABLE 8.1
Equivalent Roughness for New Pipes
Pipe
Riveted steel
Concrete
Wood stave
Cast iron
Galvanized iron
Equivalent Roughness, &
Feet
Millimeters
0.003-0.03 0.9-9.0
0.001-0.01 0.3-3.0
0.0006-0.003 0.18-0.9
0.00085
0.26
0.0005
0.15
0.045
0.000005
0.0015
0.0 (smooth) 0.0 (smooth)
Commercial steel or wrought iron 0.00015
Drawn…
Chapter 5 Solutions
Fluid Mechanics (2nd Edition)
Ch. 5 - Prob. 1FPCh. 5 - Oil is subjected to a pressure of 300 kPa at A,...Ch. 5 - Prob. 3FPCh. 5 - Water flows through the pipe at 8 m/s. Determine...Ch. 5 - The tank has a square base and is filled with...Ch. 5 - Prob. 6FPCh. 5 - Water flows from the reservoir through the...Ch. 5 - Crude oil flows through the 50-mm-diameter pipe...Ch. 5 - Water at A has a pressure of 400 kPa and a...Ch. 5 - Water from the reservoir flows through the...
Ch. 5 - Prob. 11FPCh. 5 - The jet engine takes in air and fuel having an...Ch. 5 - Determine the required average change in pressure...Ch. 5 - Prob. 2PCh. 5 - Prob. 3PCh. 5 - Air at 60°F flows through the horizontal tapered...Ch. 5 - Prob. 5PCh. 5 - The water in an open channel drainage canal flows...Ch. 5 - Water flows out of a faucet at A at 6 m/s....Ch. 5 - Water flows through the 30-mm-diameter pipe at...Ch. 5 - Water flows through the 30-mm-diameter pipe and is...Ch. 5 - Drainage under a canal is provided using a...Ch. 5 - Prob. 11PCh. 5 - Prob. 12PCh. 5 - A fountain is produced by water that flows up the...Ch. 5 - Prob. 14PCh. 5 - Air is drawn into the 200-mm-diameter cylinder...Ch. 5 - The level of mercury in the manometer has the...Ch. 5 - A fountain ejects water through the two nozzles A...Ch. 5 - Prob. 18PCh. 5 - Heavy rain has caused reservoir A to reach a...Ch. 5 - A fire hydrant supplies water under a pressure of...Ch. 5 - Determine the velocity of water through the pipe...Ch. 5 - The sewage siphon regulates the level of water in...Ch. 5 - If the manometer contains mercury, determine the...Ch. 5 - Prob. 24PCh. 5 - Prob. 25PCh. 5 - When the valve at A is opened, the initial...Ch. 5 - Prob. 27PCh. 5 - Prob. 28PCh. 5 - Air is pumped into the top of the tank so that the...Ch. 5 - Prob. 30PCh. 5 - Prob. 31PCh. 5 - A river has an average width of 5 m. Just after...Ch. 5 - A river has an average width of 5 m and flows with...Ch. 5 - Prob. 34PCh. 5 - Prob. 35PCh. 5 - Prob. 36PCh. 5 - Water flows through the transition at 0.3 m3/s,...Ch. 5 - If the water in piezometers A and B rises to hA =...Ch. 5 - Prob. 39PCh. 5 - Prob. 40PCh. 5 - Water flows through the pipe transition with a...Ch. 5 - Water from a faucet tapers from a diameter of 0.5...Ch. 5 - Prob. 43PCh. 5 - Prob. 44PCh. 5 - If the pressure at A is 325 kPa, and the velocity...Ch. 5 - If the pressure at A is 215 kPa, and the velocity...Ch. 5 - Prob. 47PCh. 5 - If the difference in the level of mercury within...Ch. 5 - Prob. 49PCh. 5 - Prob. 50PCh. 5 - Prob. 51PCh. 5 - If the pressure in the 6-in.-diameter pipe at A is...Ch. 5 - Prob. 53PCh. 5 - Prob. 54PCh. 5 - Prob. 56PCh. 5 - Prob. 57PCh. 5 - Prob. 58PCh. 5 - The solution is ejected from the 20-mm-diameter...Ch. 5 - Prob. 60PCh. 5 - Prob. 61PCh. 5 - Prob. 62PCh. 5 - Water from the large closed tank is to be drained...Ch. 5 - Prob. 64PCh. 5 - Carbon dioxide at 20°C passes through the...Ch. 5 - Prob. 66PCh. 5 - Prob. 67PCh. 5 - Determine the average velocity and the pressure in...Ch. 5 - Prob. 69PCh. 5 - Prob. 70PCh. 5 - Prob. 71PCh. 5 - Prob. 72PCh. 5 - Water at a pressure of 12 psi and a velocity of 5...Ch. 5 - Prob. 74PCh. 5 - Prob. 75PCh. 5 - The siphon spillway provides an automatic control...Ch. 5 - Prob. 77PCh. 5 - A piezometer and a manometer containing mercury...Ch. 5 - Water is drawn into the pump, such that the...Ch. 5 - Prob. 80PCh. 5 - Prob. 81PCh. 5 - Prob. 82PCh. 5 - Prob. 83PCh. 5 - A pump is used to deliver water from a large...Ch. 5 - A 6-hp pump with a 3-in.-diameter hose is used to...Ch. 5 - The pump is used with a 3-in.-diameter hose to...Ch. 5 - Solve Prob. 5–86 by including frictional head...Ch. 5 - The pump discharges water at B at 0.3 ft3/s. If...Ch. 5 - Prob. 89PCh. 5 - Draw the energy and hydraulic grade lines for the...Ch. 5 - The turbine removes energy from the water in the...Ch. 5 - Prob. 92PCh. 5 - Prob. 93PCh. 5 - Water in the reservoir flows through the...Ch. 5 - Prob. 95PCh. 5 - Determine the power delivered to the turbine if...Ch. 5 - The turbine at C draws a power of 90.5 hp. If the...Ch. 5 - Prob. 98PCh. 5 - Prob. 99PCh. 5 - Prob. 100PCh. 5 - The pump is connected to the 2-in.-diameter hose....Ch. 5 - Prob. 102PCh. 5 - Prob. 103PCh. 5 - Prob. 104PCh. 5 - Prob. 105PCh. 5 - Crude oil is pumped from a test separator at A to...Ch. 5 - Prob. 107PCh. 5 - Prob. 108PCh. 5 - Determine the power that the pump supplies to the...Ch. 5 - The pump delivers water at 120 ft3/min from the...Ch. 5 - Prob. 111PCh. 5 - Prob. 112P
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- The flow rate is 12.275 Liters/s and the diameter is 6.266 cm.arrow_forwardAn experimental setup is being built to study the flow in a large water main (i.e., a large pipe). The water main is expected to convey a discharge (Qp). The experimental tube will be built at a length scale of 1/20 of the actual water main. After building the experimental setup, the pressure drop per unit length in the model tube (APm/Lm) is measured. Problem (20): Given the value of APm/Lm [kPa/m], and assuming pressure coefficient similitude, calculate the drop in the pressure per unit length of the water main (APP/Lp) in [Pa/m]. Givens: AP M/L m = 590.637 kPa/m meen Answers: ( 1 ) 59.369 Pa/m ( 2 ) 73.83 Pa/m (3) 95.443 Pa/m ( 4 ) 44.444 Pa/m *******arrow_forwardFind the reaction force in y if Ain = 0.169 m^2, Aout = 0.143 m^2, p_in = 0.552 atm, Q = 0.367 m^3/s, α = 31.72 degrees. The pipe is flat on the ground so do not factor in weight of the pipe and fluid.arrow_forward
- Find the reaction force in x if Ain = 0.301 m^2, Aout = 0.177 m^2, p_in = 1.338 atm, Q = 0.669 m^3/s, and α = 37.183 degreesarrow_forwardProblem 5: Three-Force Equilibrium A structural connection at point O is in equilibrium under the action of three forces. • • . Member A applies a force of 9 kN vertically upward along the y-axis. Member B applies an unknown force F at the angle shown. Member C applies an unknown force T along its length at an angle shown. Determine the magnitudes of forces F and T required for equilibrium, assuming 0 = 90° y 9 kN Aarrow_forwardProblem 19: Determine the force in members HG, HE, and DE of the truss, and state if the members are in tension or compression. 4 ft K J I H G B C D E F -3 ft -3 ft 3 ft 3 ft 3 ft- 1500 lb 1500 lb 1500 lb 1500 lb 1500 lbarrow_forward
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- An experimental setup is being built to study the flow in a large water main (i.e., a large pipe). The water main is expected to convey a discharge (Qp). The experimental tube will be built at a length scale of 1/20 of the actual water main. After building the experimental setup, the pressure drop per unit length in the model tube (APm/Lm) is measured. Problem (19): Given the value of Qp [m³/s], and assuming Reynolds number similitude between the water main and experimental tube, calculate the flow rate in the model tube (Qm) in [lit/s]. = 30.015 m^3/sarrow_forwardProblem 11: The lamp has a weight of 15 lb and is supported by the six cords connected together as shown. Determine the tension in each cord and the angle 0 for equilibrium. Cord BC is horizontal. E 30° B 60° Aarrow_forwardProblem 10: If the bucket weighs 50 lb, determine the tension developed in each of the wires. B $30° 5 E D 130°arrow_forward
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