Problems
Problems
oil reservoir with a specific gravity of 0.90, and it transmits it to the hydraulic cylinder. The cylinder has a
internal diameter of 5.0 inches, and the piston must travel 20 inches in 15 seconds while exerting a force of 11,000 pounds. It
it is estimated that in the suction pipe there is an energy loss of 11.5 lb*ft/lb, and of 35.0 lb*ft/lb in the pipe of
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Both pipes are made of 3/8 inch schedule 80 steel. Calculate the following:
7.28M The fissure system 7.31 sends 600 L/min of water. The output goes directly to the atmosphere. Determine the
energy losses in the system.
7.29MP For the tube in figure 7.32, kerosene (sg = 0.823) flows at 0.060 m3Calculate the pressure at point B if the
The total energy loss in the system is 4.60 N*m/N.
10.39 E. A piping system for a pump contains a tee, as shown in figure 10.33, in order to
allow the measurement of pressure at the pump outlet. However, there is no flow in the line leading to the
instrument. Calculate the energy loss as 0.40 feet flow through.3/s of water at 50 °F through the te.
11.15 M. Water at 40 °C flows through the system shown in figure 11.20 from point A to point B. Determine
the volumetric flow rate of water if there is a vertical distance of 10 m between the two tanks. the elbows are standard.
4.1. Water at 25 °C flows through a steel pipe. The nominal diameter of the schedule 40 pipe is 2
inches with a length of 125 m and carries a flow rate of 189 L/min. Calculate the Reynolds number, the factor.
of friction and friction losses.
4.2. Determine the losses caused by friction in a horizontal wrought iron pipe of 150 m
length and 30 cm internal diameter. Through this pipe, 150 L/s of water at 20 °C circulates.
4.3. Calculate the power required to pump oil with a relative density of 0.85 and viscosity of 3 cps at a rate
of 4 L/s, through a 2-inch steel pipe of Cd 40 and 100 m in length. The pipe is horizontal and the
discharge pressure is the same as inlet pressure.
If as a consequence of corrosion and the formation of scales the roughness increases 10 times, what about in
Will the required pumping power increase?
4.4. Water flows through a horizontal pipe with an internal diameter of 40 mm at an average speed of 2 m/s.
The pipe is connected by a reducer to another with an internal diameter of 50 mm. A pipe is available for
vertical glass at point A 30 cm before the connection and another at B 30 cm after it. Water flows from A
Calculate the difference between the water levels in the two tubes.
1.25 L/s of water must be pumped through a 1-inch steel pipe, Schedule 40, and 30 m in length.
up to a reservoir that is 12 m higher than the water intake point. Calculate the power required.
if the process takes place at 25 °C.
Water is pumped at 15 °C at a rate of 380 L/min from a reservoir to an elevated tank 5 m above.
storage. A 3-inch Schedule 40 steel pipe will be used from the storage tank to the
pump and a 2-inch CD 40 pipe to carry water to the elevated tank. Calculate the power consumption of
the pump if the efficiency is 70%.
4.16. A pumping system extracts 600 gal/min of water from a pond to the top of a warehouse at
where the pressure washing is verified. The system is made up of schedule 40 iron pipe.
Pump load: The intake is 2 m below the surface of the pond.
Pipe diameter: 6 inches.
Length of the pipe: 60 m, 1 fully open globe valve, 1 fully open gate valve, 5
90° elbows.
The discharge pressure of the water is required to be 3 atm. Calculate the power of the pump, being the
efficiency of 65% and a temperature of 25 °C.
8.61.A horizontal pipe has a sudden expansion from D18 cm until D216 cm. The speed of
The water in the narrowest section is 10 m/s and the flow is turbulent. The pressure in the narrowest section is
P1=300 kPa. When the kinetic energy correction factor is considered as 1.06 both at the inlet and
at the outlet, determine the downstream pressure P2and estimate the error that would have occurred if the
Bernoulli's equation.
A water tank filled with water that the sun heated to 40°C will be used for showers in a field that uses flow.
driven by gravity. The system includes 20 m of galvanized iron pipe with a diameter of 1.5 cm with
four 90° angled elbows without guide vanes and a fully open globe valve. If the water flows to
a flow rate of 0.7 L/s through the shower, determine how high above the shower outlet it should be
water level in the tank. Do not consider the losses at the inlet and the shower, and ignore the effect of the factor of
corrección de energía cinética.
12.7. Calculate the stagnation temperature and stagnation pressure for the following substances that
flow in a duct: a) helium at 0.25 MPa, 50°C and 240 m/s; b) nitrogen at 0.15 MPa, 50°C and 300 m/s, and c) steam
water at 0.1 MPa, 350°C and 480 m/s.
12.19. Determine the speed of sound in air a) 300 K and b) 1,000 K. Also determine the Mach number.
of a plane that flies at a constant speed of 240 m/s in both cases.
12.20. Carbon dioxide enters an adiabatic nozzle at 1,200 K at a speed of 50 m/s and exits the
to a 400 K. Considering constant specific heats equal to their values at room temperature,
Determine the Mach number. a) At the inlet and b) at the outlet of the nozzle. Evaluate the accuracy of the assumption.
of constant specific heats.
12.102. Consider a tubular combustion chamber with a diameter of 12 cm. Air enters the tube at 500 K, 400
kPa and 70 m/s. Fuel with a calorific value of 39,000 kJ/kg is burned when injected into the air. If the number of
At the exit is 0.8, determine the mass flow rate at which the fuel burns and the temperature at
the output. Consider a complete combustion and disregard the increase in mass flow due to the injection of
flammable.
8.7.Water should be pumped at 20°C from a reservoir (zA=5 m) to another tank at a higher elevation (zB=13 m)
through two pipes 36 m long connected in parallel, as shown in the figure. The pipes are
made of commercial steel, and the diameters of the two pipes are 4 and 8 cm. Water will be pumped through a
motor-pump coupling with an efficiency of 70 percent that extracts 8 kW of electrical power during the
operation. Minor losses and the pressure drop in the pipes that connect the pipe joints
the parallels to the two deposits are considered negligible. Determine the total flow rate between the deposits and
the flow rate through each of the parallel pipes.