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13.2 A lubricating line has an inside diameter of 0.1 in. and is 30 in. long. If the pressure drop is 15 psi, determine the flow rate of the oil. Use the properties given in Problem 13.1.Problem 13.1An oil with kinematic viscosity of 0.08 × 10–3 ft2/s and a density of 57 lbm/ft3 flows through a horizontal tube 0.24 in. in diameter at the rate of 10 gal/h. Determine the pressure drop in 50 ft of tube.
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13.3 A 280-km-long pipeline connects two pumping stations. If 0.56 m3/s are to be pumped through a 0.62-m-diameter line, the discharge station is 250 m lower in elevation than the upstream station, and the discharge pressure is to be maintained at 300,000 Pa, determine the power required to pump the oil. The oil has a kinematic viscosity of 4.5 × 10–6 m2/s and a density of 810 kg/m3. The pipe is constructed of commercial steel. The inlet pressure may be taken as atmospheric.
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13.4 Oil having a kinematic viscosity of 6.7 × 10–6 m2/s and density of 801 kg/m3 is pumped through a pipe of 0.71 m diameter at an average velocity of 1.1 m/s. The roughness of the pipe is equivalent to that of a commercial steel pipe. If pumping stations are 320 km apart, find the head loss (in meters of oil) between the pumping stations and the power required.
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13.5 Water at the rate of 118 ft3/min flows through a smooth horizontal tube 250 ft long. The pressure drop is 4.55 psi. Determine the tube diameter.
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13.6 Calculate the inlet pressure to a pump 3 ft above the level of a sump. The pipe is 6 in. in diameter, 6 ft long, and made of commercial steel. The flow rate through the pump is 500 gal/min. Use the (incorrect) assumption that the flow is fully developed.
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13.7 A galvanized rectangular duct 8 in. square is 25 ft long and carries 600 ft3/min of standard air. Determine the pressure drop in inches of water.
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13.8 A cast-iron pipeline 2 m long is required to carry 3 million gal of water per day. The outlet is 175 ft higher than the inlet. The costs of three sizes of pipe when in place are as follows:
| 10-in. diameter | $11.40 per ft |
| 12-in. diameter | $14.70 per ft |
| 14-in. diameter | $16.80 per ft |
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13.9 Two water reservoirs of height h1 = 60m and h2 = 30m are connected by a pipe that is 0.35 m in diameter. The exit of the pipe is submerged at distance h3 = 8m from the reservoir surface.
a. Determine the flow rate through the pipe if the pipe is 80 m long and the friction factor ff = 0.004. The pipe inlet is set flush with the wall....
b. If the relative roughness e/D = 0.004, determine the friction factor and flow rate.
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13.10 An 8-km-long, 5-m-diameter headrace tunnel at the Paute river hydroelectric project in Ecuador supplies a power station 668 m below the entrance of the tunnel. If the tunnel surface is concrete, find the pressure at the end of the tunnel if the flow rate is 90m3/s.
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13.11 Water at 20°C flows through a cast-iron pipe at a velocity of 34 m/s. The pipe is 400 m long and has a diameter of 0.18 m. Determine the head loss due to friction.
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13.12 Water at 20°C is being drained from an open tank through a cast-iron pipe 0.6 m diameter and 30 m long. The surface of the water in the pipe is at atmospheric pressure and at an elevation of 46.9 m, and the pipe discharges to the atmosphere at an elevation 30 m. Neglecting minor losses due to configuration, bends, valves, and fittings, determine the volumetric flow rate of the water leaving the pipe.
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13.13 A level 10-m-long water pipe has a manometer at both the inlet and the outlet. The manometers indicate pressure head of 1.5 and 0.2 m, respectively. The pipe diameter is 0.2 mand the pipe roughness is 0.0004 m. Determine the mass flow rate in the pipe in kg/s.
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13.14 Determine the depth of water behind the dam in the figure that will provide a flow rate of 5.675 × 10−4m3/s through a 20-m-long, 1.30 cm commercial steel pipe....
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13.15 A system consists of three pipes in series. The total pressure drop is 180 kPa, and the decrease in elevation is 5 m. Data for the three pipes are as follows:
| Pipe | Length, m | Diameter, cm | Roughness, mm |
| 1 | 125 | 8 | 0.240 |
| 2 | 150 | 6 | 0.120 |
| 3 | 100 | 4 | 0.200 |
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13.16 A system consists of three pipes in parallel with a total head loss of 24 m. Data for the three pipes are as follows:
| Pipe | Length, m | Diameter, cm | Roughness, mm |
| 1 | 100 | 8 | 0.240 |
| 2 | 150 | 6 | 0.120 |
| 3 | 80 | 4 | 0.200 |
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13.17 Your boss comes to you with an important project where you are to determine the pressure drop in a rough horizontal high-pressure pipe made of cast iron. The pipe has a diameter of 0.25 ft and a length of 10 ft. Benzene at 150°F flows through the pipe at 250 ft3/min.
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