Problem 1
Two reservoirs 1 and 2 are connected to each other through a 40-m long, 2-cm diameter cast iron pipe with a
sharp-edged entrance. The pipe also involves a swing check valve, a fully open gate valve and an exit to
reservoir 2. The water level in both reservoirs is the same, but reservoir 1 is pressurized (P) by compressed air
while reservoir 2 is open to the atmosphere at 95kPa. If the initial flow rate (Q) through the pipe is 1.5 L/s,
calculate the absolute air pressure on top of reservoir 1. Take the water temperature to be 10oC.
Reservoir 1
P= ?
Reservoir 2
Patm= 95kPa
1m3/s ----- 1000L/s
1m ------- 100cm
Water at 10oC:
(Cast Iron)
1=2 considered as equal to 1
Minor Loss Coefficients:
,
,
,
Problem1-Solution
Problem 2
A vented (open to atmosphere, Patm =0) tanker is to be filled with fuel oil from an underground reservoir using
a 25 m long, 4 cm diameter plastic hose with a slightly rounded entrance and two 90o smooth bends. The
elevation difference between the oil level in the reservoir and the top of the tanker where the hose is discharged
is 5 m. The capacity of the tanker is 18 m3 (volume) and the filling time is 30 min. Taking the kinetic energy
correction factor at the hose discharge to be = 1.05 and assuming an overall pump efficiency of 82%, calculate
the required power input to the pump. Explain if the flow is turbulent or laminar.
Oil:
,
Point 2 -exit of the hose
Point 1
=considered as equal to 1.05
Minor Loss Coefficients:
Reservoir
open to atm
Q(flow rate)=volume/t
Problem2-Solution
Problem 3
Water flows from reservoir 1 to reservoir 2 through a 4-in diameter, 500 ft length pipe, see figure below.
Assume an initial friction factor (f) of 0.037 and a roughness of 0.003ft for the pipe. Find the flow rate.
Problem 3 -Solution
Note: A-5 refers to Moody diagram.
Problem 4
Two reservoirs containing water at 60oF, the water in the upper reservoir is to be drained to the other reservoir
at a lower level as shown in the figure below. The total length of commercial steel pipe is 100ft, and the
diameter of the pipe is 4in. What will be the flow rate of water through the pipe when the water surface
elevations are as shown.
Problem 4 -Solution
Problem 5
A 15-in diameter new cast iron pipe connecting two reservoirs as shown in figure below carries water at 60 oF.
The pipe is 120ft long, and the discharge is 20ft/s. Calculate the difference in elevation between water surface
in the two reservoirs.
Problem 5 -Solution
Problem 6
A fluid is flowing in a 6in diameter pipe at a pressure of 4.00 lb/in2 with a velocity of 8 ft/s. As shown below,
the elevation of the center of the pipe above a given datum is 10ft. Find the total energy head above the given
datum if the fluid is:
a) Water
b) oil with a specific gravity of 0.82
c) gas with a specific weight of 0.042 lb/ft2
The ground and pipe have zero bed slope
Problem 6 -Solution
Problem 7
A 100 mm diameter suction pipe leading to a pump, carries a discharge of 0.030m3/s of oil (SG=0.85). If the
pressure at point A in the suction pipe is a vacuum of 180 mmHg, find the total energy head at point A with
respect to a datum at the pump.
Problem 7 -Solution
Problem 8
Figure below shows a pump drawing water from a reservoir and discharging it into the air at point B. The
pressure at point A in the suction pipe is a vacuum of 10 in mercury, and the discharge is 3.00 ft3/s. Calculate
the total head at point A and at point B with respect to a datum at the base of the reservoir. If the total
available head of a stream flowing at a rate of 300ft3/s is 25 ft, what is the theoretical horsepower available?
Problem 8 -Solution
Problem 9
Figure below show the tank-pipe system, the losses up to section A are 5V12 /2g, and the nozzle losses are
0.05V22/2g. a) Calculate the discharge and pressure at A, if H= 8m. b) For the same losses, calculate the
discharge and head H, if pressure at A is equal to 25kPa.
Problem 9 -Solution Part a
Problem 9 -Solution Part b
Problem 10
The system shown involves 6-in pipe. The exit nozzle diameter is 3 in. What is the velocity Ve of flow leaving
the nozzle? Neglect losses.
Problem 10 -Solution
Problem 11
A 2m diameter pipe of length 1560m for which e=1.5mm conveys water at 12oC between two reservoirs at a
rate of 8.0 m3/s. What must be the difference in water -surface elevations between the two reservoirs? Neglect
minor losses
Problem 11 -Solution
Problem 12
Problem 12 -Solution
Problem 13
Problem 13 -Solution
Problem 14
Problem 14 -Solution
Problem 15
Problem 15 -Solution
Problem 16
Problem 16 -Solution
Problem 17
Problem 17 -Solution
Problem 18
Problem 18 -Solution
Problem 19
Problem 19 -Solution
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