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
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,
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