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 τo 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 τo -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.