Hydraulics - Series 1 (Fundamentals of Fluid Flow) - Sample Problems PDF
Hydraulics - Series 1 (Fundamentals of Fluid Flow) - Sample Problems PDF
Hydraulics - Series 1 (Fundamentals of Fluid Flow) - Sample Problems PDF
3. A garden hose attached with a nozzle is used to fill a 10 gal bucket. The inner
diameter of the hose is 2 cm, and it reduces to 0.8 cm at the nozzle exit. If it
takes 50 sec to fill the bucket with water, determine:
a. the volume and mass flow rates of water through the hose, and
b. the average velocity of water at the nozzle exit.
4. A bathtub is being filled with water from a faucet. The rate of flow
from the faucet is steady at 9 gal/min. the tub volume is
approximated by a rectangular space as indicate. Estimate the time
.
rate if change of the depth of water in the tub, , in at any
instant.
6. A turbine is rated at 600 hp when the flow of water through it is 0.61 m^3/s. Assuming an
efficiency of 87%, what is the head acting on the turbine?
7. A standpipe 5 m in diameter and 10 m high is filled with water. Calculate the potential energy of
the water if the elevation datum is taken 2 m below the base of the standpipe.
8. Determine the kinetic energy flux of 0.02 m^3/s of oil (sp. gr. = 0.85) discharging through a 50
mm diameter nozzle.
9. Water is flowing through a pipe of 5 𝑐𝑚 diameter under a pressure of 29.43 𝑁/𝑐𝑚 (gauge)
and with mean velocity of 2.0 𝑚/𝑠. Find the total head or total energy per unit weight of the
water at a cross-section, which is 5 𝑚 above the datum line.
10. Water is flowing from a hose attached to a water main at 400 kPa gage. A child places his thumb
to cover most of the hose outlet, causing a thin jet of high-speed water to emerge. If the hose is
held upward, what is the maximum height that the jet could achieve?
12. During a trip to the beach (Patm = 1 atm = 101.3 kPa), a car runs
out of gasoline, and it becomes necessary to siphon gas out of
the car of a Good Samaritan (Fig. 5–40). The siphon is a small-
diameter hose, and to start the siphon it is necessary to insert
one siphon end in the full gas tank, fill the hose with gasoline via
suction, and then place the other end in a gas can below the
level of the gas tank. The difference in pressure between point 1
(at the free surface of the gasoline in the tank) and point 2 (at
the outlet of the tube) causes the liquid to flow from the higher
to the lower elevation. Point 2 is located 0.75 m below point 1 in
this case, and point 3 is located 2 m above point 1. The siphon
diameter is 4 mm, and frictional losses in the siphon are to be
disregarded. Determine (a) the
minimum time to withdraw 4 L of gasoline from the tank to the can
and (b) the pressure at point 3. The density of gasoline is 750 kg/m3.