Indian Institute of Space Science and Technology, Thiruvananthapuram
Department of Aerospace Engineering
AE213 FLUID MECHANICS : ASSIGNMENT – 4
Submission deadline: 11 November 2022
1. Water is to be pumped through 2.5 km of 200-mm diameter wrought iron pipe at the rate of 60 L/s.
Compute the head loss and power required to drive the flow.
2. Two long pipes are used to convey water between two reservoirs whose water surfaces are at different
elevations. One pipe has a diameter twice that of the other. If both pipes have the same value of
Darcy friction factor (f)and if minor losses are neglected, what is the ratio of the flow rates through
the two pipes?
3. A pipeline is of 0.6-m diameter and 1.5km long. In order to augment the discharge, another line of
the same diameter is introduced parallel to the first in the second half of the length. Neglect minor
losses, find the increase in the volume flow rate if the friction factor, f=0.04. The head at the inlet
is 30 m.
4. A long pipe of length Lwith a friction factor fis connected to a large reservoir. The free level of the
water in the reservoir is Habove the centerline of the pipe. The diameter of the pipe is d. Calculate
the exit velocity of the water when (a) the flow is frictionless, (b) only the major loss is taken into
account, (c) the major loss and the exit loss are taken into account, (d) the exit pipe is connected to
a nozzle of exit diameter dewhile taking into the major and exit loss.
5. For the series-parallel system of Fig.1, all pipes are 8-cm diameter asphalted cast iron. If the total
pressure drop p1−p2=750 kPa, find the resulting flow rate Qin m3/h. Neglect minor losses.
Figure 1:
6. Water flows at a rate of 0.04 m3/s in a 0.12-m diameter pipe that contains a sudden contraction to
a 0.06-m diameter pipe. Determine the pressure drop across the contraction section. How much of
this pressure difference is due to losses and how much is due to kinetic energy changes?
7. With the valve closed, water flows from tank Ato tank Bas shown in Fig. 2. What is the flowrate
into tank Bwhen the valve is opened to allow water to flow into tank Calso? Neglect all minor losses
and assume that the friction factor is 0.02 for all pipes.
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