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THE UNIVERSITY OF TORONTO

Department of Civil Engineering

CME270 FLUID MECHANICS

Assignment #5

December 6, 2010

Question 1 (7.45):

A pump draws water (20C) through a 20 cm suction pipe and discharges it through a 10 cm

pipe in which the velocity is 3 m/s. The 10 cm pipe discharges horizontally into air at point C.To what height habove the water surface at Acan the water be raised if 35 kW is delivered to

the pump? Assume that the pump operates at 60% efficiency and that the head loss in the

pipe between Aand Cis equal to Assume != 1.0 at all locations.

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Question 2 (10.19):

Oil (S = 0.94; = 0.048 N "s/m2) is pumped through a horizontal 5 cm pipe. Mean velocity

is 0.5 m/s. What is the pressure drop per 10 m of pipe?

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Question 3 (10.47)

Water is pumped through a vertical 10 cm new steel pipe to an elevated tank on the roof of a

building. The pressure on the discharge side of the pump is 1.6 MPa. What pressure can be

expected at a point in the pipe 80 m above the pump when the flow is 0.02 m3/s? Assume

T= 20C.

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Question 4 (10.63):

A tank and piping system is shown. The galvanized pipe diameter is 1.5 cm, and the total

length of pipe is 10 m. The two 90 elbows are threaded fittings. The vertical distance from

the water surface to the pipe outlet is 5 m. The velocity of the water in the tank is negligible.

Find (a) the exit velocity of the water and (b) the height (h) the water jet would rise on exitingthe pipe. The water temperature is 20C.

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Question 5 (10.77a)

Refer to the diagram in Problem 10.77. The 10 cm galvanized iron pipe (ks = 0.15mm) is

1000 m long and discharges water into the atmosphere. The pipeline has an open globe valve

(Kv = 10) and four 90 threaded elbows; h1 = 3 m and h2 = 15 m. The minor loss coefficient

for the pipe entrance from the tank is KE= 0.5. Note that in the diagram, the squigglesaround Point A are not pipe bends. What is the discharge (flow rate in m^3/s)?

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Question 5b) (10.77b)

In the situation described in Problem 10.77a), what is the gauge pressure at A, the midpointof the line?