In a pumping system handling water, the level in the suction tank is 3.2m below the pump shaft centerline; and the level in the discharge tank is 21m above the pump shaft centerline. The inlet piping is 7.6cm in diameter and together with its valves fittings is equivalent to 26m straight pipe. The discharge line, 6.35 cm in diameter, with its valves and fittings is equivalent to 72 m straight pipe. If the motor delivers 7.1 kW to the pump shaft, what is the pump efficiency for discharge rate of 12.63 Ips? Assume f = 0.023

A pumped storage power plant with a head of 150 m, with a flow rate of 6 cms for power generation and pumping, and continuous operation for 8 hours each time. Try to find (1) the power output during power generation and the total daily power generation; (2) pumping water Hourly power and total daily power demand; (3) Pumped storage power plant efficiency; (4) Adjust the pool capacity? Assuming that the water loss is 8% of the total drop, the combined efficiency of the turbine and generator is 85%, and the efficiency of the pump is 65%.

What is the pressure drop in the turbine? Answer: 1176.91 kPa (replace “turbine pressure drop” for “pump pressure increase”)

A two storey building has two faucets, one in the basement and one in the firstfloor. The maximum water (ρ = 1000 kg/m3) velocity at the basement faucet, when the first floor faucet is closed, is 13 m/s. The faucet diameter is 1.5 cm.Neglect all losses. What would be a maximum height (from the basement floor) for a faucet,to still get a maximum exit velocity of 6 m/s?

Water is pumped from a reservoir to a pressurized storage tank (P = 150 kPa gauge) atop a building by means of a centrifugal pump. There is a 70-m difference in elevation between the water surface in the reservoir and the end of the discharge line. The piping system consists of 80m of 5" SCH 40 steel pipe containing two 90o elbows, one gate valve, one rotary water meter, and six couplings from the reservoir to the pump; 3" SCH 40 steel pipe for 86m to the tank. The 3" pipe contains two gate valves, four 90o elbows, and ten couplings. It is desired to maintain a flow of water into the tank of 2.4 m3/min. Water temperature is 25oC. If the pump-motor set has efficiency of 65%, what would be the pumping costs be in pesos per day if electricity costs PhP 10.50/kW-hr?

(b) Water is drained from a large reservoir using two horizontal pipes connected in series as shown in Figure Q3(b). The first pipe is 20 m long with 10 cm diameter, while the second pipe is 35 m long and has a 4 cm diameter. The water level in the reservoir is 18 m above the centerline of the pipe. Table Q3(b) shows the friction factor and loss coefficient for each pipe or fittings. Determine the velocity at the second pipe, discharge rate of water and the total head loss. Can you identify the material used in manufacturing the pipe? Water tank 18 m 20 m - 35 m →| Sharp edge entrance Figure Q3(b) Draining large reservoir using two horizontal pipes Table Q3(b) Condition Friction factor, f Pipe ø = 10 cm Pipe ø = 4 cm 0.0196 0.0162 Sharp edge entrance Sudden contraction Loss coefficient, K 0.50 0.46

PROBLEM 5: In Lake Geneva (Switzerland), there is a water jet (called the Jet d’Eau) that is discharged 130 m straight upward (measured from the surface of the lake). The exit of the discharge pipe is 20 cm in diameter.

In Fig. is shown a plot of pump net head as a function of pump volume flow rate, or capacity. On the figure, label the shutoff head, the free delivery, the pump performance curve, the system curve, and the operating point.

Water flows through a corner valve at a flow rate of Q=0.75 m³/s . The pressure just upstream of the valve is P₁ = 500 kPa and the pressure just downstream is P₂ = 300 kPa. The inside pipe diameters of the valve inlet and exit are respectively, D₁ = 5 cm and D₂ = 12 cm. If the flow through the valve occurs in a horizontal plane, determine the head loss, h₂ (in meters) and the rate of loss of available energy (in W) across the valve. D2 Di

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?