Sample 4 Test # 3 for CEE-3500
#1. For Froude similitude, determine the discharge ratio as a function of the length ratio.
#2.Assume that the wall shear stress
τ
o produced when a fluid flows through a pipe
depends on the pipe diameter D, the flow discharge Q, the fluid density
ρ
, and the
kinematic viscosity ν. Some model
tests run in a laboratory using water in
a a 0.2-ft-diameter yield the
τ
o -vs- Q
data shown in Figure (b). Perform a
dimensional analysis and use the
model data to predict the wall shear
stress in a 0.3-ft-diameter pipe through
which water flows at a rate of 1.5 ft3/s.
#3. A cylinder of diameter D floats upright in a liquid. When the cylinder is displaced
slightly along its vertical axis it will oscillate about its equilibrium position with a period
T. Assume that this period is a function of the diameter D, the mass of the cylinder m,
and the specific weight,
γ
, of the liquid. Find a Π (Pi) term that relates the four variables
involved in this phenomenon.
#4. As shown in the figure, waster “bubbles up”
3 inches above the exit of a vertical pipe
attached to three horizontal pipe segments. The
total length of the 0.75-in diameter galvanized
iron pipe between point (1) and the exit is 21
inches. Determine the pressure needed at point
(1) to produce such flow.
#5. Water at 100oF flows through the system shown
in the figure. Lengths of 3” (3-in) and 6” (6-in) new,
asphalt-dipped cast iron pipe are 180 ft and 100 ft,
respectively. Loss factors for fittings and valves are:
3-in bends, K = 0.40 each; 6-in bend, K = 0.60, and
6-in valve, K = 3.0. Determine the flow in cfs using
Swamee-Jain’s equation for the friction factor.