The Figure below (Figure 3) shows a horizontal rectangular air duct of width B = 1 m and height H = 0.3 m which carries air at a flow rate of Q = 2.5 m³/s. The duct is made of commercial steel. The horizontal duct system has no change in elevation between cross-sections (1) and (2). Hint: In non-circular conduits, the diameter D of circular pipes, is replaced by the hydraulic diameter DH = 4 x RH in all relevant equations.

Elevation = 100 ft D¸ = 1 ft (1) l (1) e, = 1000 ft D2 = 1 ft lz = 500 ft B V Elevation = %3D 20 ft (2) D3 = 1 ft (3) Elevation = l3 = 400 ft O ft Three open reservoirs are connected by pipes as shown above. It is assumed that the pipe diameter is equal to the friction factor of 0.03. Because theratio of the LIDpipe is large, the minor losses are ignored. Determine the flow in or out of each reservoir! Draw with sketch 5.

PROBLEM 3 Water, p = 1000 kg/m³ and μ = 0.001 kg/m.s, is pumped between two reservoirs at 5 liter/s through 125 m of 5 cm-diameter pipe and several minor losses, as shown in Fig. The roughness ratio is e/d= 0.001. Compute the pump horsepower required. 2₂= 40m Screwed regular 90° elbow Sharp exit Ģ2 1 2₁ = 7m GI Sharp entrance Half-open gate valve Open globe valve 30 cm bend radius 125m of pipe, d= 5 cm Pump

Tank 1 Tank 2 g Question 1 Consider the flow of water (p= 10³ kg/m³, u = 10³ Pa-s) from tank 1 to tank 2. A centrifugal pump is installed in this piping system with length L = 300 m and diameter D = 40 cm cast-iron pipe. The water surface of tank 1 is 15 m higher than the water surface of tank 2. You may neglect minor losses but not major losses. The gravity cannot be neglected. Assume steady-state and no friction in the tanks. (a) Simplify the equation of the system curve Ap vs Q. Do not place numerical data. (b) Plot the system curve Ap vs Q (0 ≤Q≤2 m³/s). (c) Find the volumetric flow rate when the pump is not operating. (d) Find the power supplied to the water and to the pump if n = 0.9 and 1 m³/s. (e) Consider a pump: Ap = 106 105 Q², where Ap in Pa and Q in m³/s. Find the operating point. What is the minimum and maximum volumetric flow rate that this pump can deliver?