Parallel Pipeline Systems
Figure 11-1 shows a looping pipe system. Pressure heads at points A and E are 70.0 m and 46.0 m, respectively.
Compute the ow rate of water through each branch of the loop. Assume C = 120 for all pipes.
Properties of Fluids
Note: For many problems in this chapter, values of various physical properties of uids are obtained from
Tables A-1 through A-8 in the Appendix.
A reservoir of glycerin (glyc) has a mass of 1200 k
The surface of a frictionless uid column 2.18 m long is dropping at 2 m/s when z = 0.5 m (measured upwards
from the reference level). Find (a) the maximum value of z, (b) the maximum speed.
' (a) z = Z cos wt,
Forces on Submerged Curved Areas
The submerged, curved surface AB in Fig. 5-1a is onequarter of a circle of radius 4 ft. The tanks length
(distance perpendicular to the plane of the gure) is 6 ft. Find the horizontal and vertical components
CHAPTER 18 ,7
Dimensional Analysis and Similitude
The Brinkman number NB,\often used in analysis of organicliquid ows, is the ratio of viscous dissipation to
heat conduction in a uid. It is a dimensionless combination o
Forces on Submerged Plane Areas
. 3.1 If a triangle of height d and base b is vertical and submerged in liquid with its vertex at the liquid surface (see
Fig. 3-1), derive an expression for the depth to its center of pressure.
1.5 34+ bd3/36 _3
Buoyancy and Flotation
A stone weighs 105 lb in air. When submerged in water, it weighs 67.0 lb. Find the volume and specic gravity
of the stone.
' Buoyant force (111,) = weight of water displaced by stone (W) = 105 - 67.
g CHAPTER 10
Series Pipeline Systems
For a 12-in-diameter concrete pipe 12 000 ft long, nd the diameter of a 1000-ft-long equivalent pipe.
I Assume a ow rate of 3.0 cfs. (The result should be the same regardless of the ow r
Branching Pipeline Systems
In Fig. 12-1, nd the ows for the following data: L1 = 200 m, D1 = 300 mm, 61/D1 = 0.0002, 21 = 700 m,
p1 = 7 atm; L2 = 300 m, D, = 350 mm, 2/D2 = 0.00015, 22 = 400 in, p; = 2 atm; L3 = 400 m, D3 = 400 mm
15.1 If the channel width for the stream described by Fig. 15-1 is b = 28 ft at stage y = 3.5 ft, determine the local
velocity of a smallamplitude wave.
' u = (1/b)(dQ/dy). From Fig. 15-1, dQ/dy = 300 cfs/ft when y = 3.5 ft. u = (
In Fig. 4-1, calculate the width of concrete darn that is necessary to prevent the dam from sliding. The specic
weight of the concrete is 1501b/ft3, and the coefcient of friction between the base of the dam and the
foundation is 0.4