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applied fluid mechanics
Applied Fluid Mechanics 7th edition Robert L. Mott, Joseph A. Untener - Solutions
Repeat Problem 8.12 for an oil temperature of 160°F.Repeat ProblemAn engine crankcase contains SAE 10 motor oil (sg = 0.88). The oil is distributed to other parts of the engine by an oil pump through an 1/8-in steel tube with a wall thickness of 0.032 in. The ease with which the oil is pumped is
An engine crankcase contains SAE 10 motor oil (sg = 0.88). The oil is distributed to other parts of the engine by an oil pump through an 1/8-in steel tube with a wall thickness of 0.032 in. The ease with which the oil is pumped is obviously affected by its viscosity. Compute the Reynolds number for
A major water main is an 18-in ductile iron pipe. Compute the Reynolds number if the pipe carries 16.5 ft3/s of water at 50°F.
Hot water at 80°C is flowing to a dishwasher at a rate of 15.0 L/min through a standard hydraulic copper tube, 15 mm OD × 1.2 mm wall. Is the flow laminar or turbulent?
Benzene (sg = 0.86) at 60°C is flowing at 25 L/min in a DN 25 Schedule 80 steel pipe. Is the flow laminar or turbulent?
Compute the Reynolds number for the flow of 325 L/min of water at 10°C in a standard hydraulic steel tube, 50 mm OD × 1.5 mm wall thickness. Is the flow laminar or turbulent?
From the data in Appendix C, we can see that automotive hydraulic oil and the medium machine tool hydraulic oil have nearly the same kinematic viscosity at 212°F. However, because of their different viscosity index, their viscosities at 104°F are quite different. Calculate the Reynolds number for
In an existing installation, SAE 10 oil (sg = 0.89) must be carried in a DN 80 Schedule 40 steel pipe at the rate of 850 L/min. Efficient operation of a certain process requires that the Reynolds number of the flow be approximately 5 × 104. To what temperature must the oil be heated to accomplish
Determine the smallest metric hydraulic copper tube size that will carry 4 L/min of the following fluids while maintaining laminar flow:(a) Water at 40°C,(b) Gasoline (sg = 0.68) 25°C,(c) Ethyl alcohol (sg = 0.79) at 0°C,(d) Heavy fuel oil at 25°C.
Calculate the Reynolds number for the flow of each of the following fluids in a 2-in Schedule 40 steel pipe if the volume flow rate is 0.25 ft3/s:(a) Water at 60°F,(b) Acetone at 77°F,(c) Castor oil at 77°F,(d) SAE 10 oil at 210°F (sg = 0.87).
Calculate the maximum volume flow rate of fuel oil at 45°C at which the flow will remain laminar in a DN 100 Schedule 80 steel pipe. For the fuel oil, use sg = 0.895 and dynamic viscosity = 4.0 × 10-2 Pa∙s.
Calculate the minimum velocity of flow in ft/s of water at 160°F in a 2-in steel tube with a wall thickness of 0.065 in for which the flow is turbulent.
A 4-in-ductile iron pipe carries 0.20 ft3/s of glycerin (sg = 1.26) at 100F. Is the flow laminar or turbulent?
A horizontal pipe carries oil with a specific gravity of 0.83. If two pressure gages along the pipe read 74.6 psig and 62.2 psig, respectively, calculate the energy loss between the two gages.
Water at 40°F is flowing downward through the fabricated reducer shown in Fig. 7.11. At point A the velocity is 10 ft/s and the pressure is 60 psig. The energy loss between points A and B is 25 lb-ft/lb. Calculate the pressure at point B. 4-in diameter Flow 30 ft - 2-in diameter
Find the volume flow rate of water exiting from the tank shown in Fig. 7.12. The tank is sealed with a pressure of 140 kPa above the water. There is an energy loss of 2.0 Nm / N as the water flows through the nozzle. Air Water 2.4 m 50-mm diameter
A long DN 150 Schedule 40 steel pipe discharges 0.085 m3/s of water from a reservoir into the atmosphere as shown in Fig. 7.13. Calculate the energy loss in the pipe.
Figure 7.14 shows a setup to determine the energy loss due to a certain piece of apparatus. The inlet is through a 2-in Schedule 40 pipe and the outlet is a 4-in Schedule 40 pipe. Calculate the energy loss between points A and B if water is flowing upward at 0.20 ft3/s. The gage fluid is mercury
A test setup to determine the energy loss as water flows through a valve is shown in Fig. 7.15. Calculate the energy loss if 0.10 ft3/s of water at 40°F is flowing. Also calculate the resistance coefficient K if the energy loss is expressed as K(v2/2g).
The setup shown in Fig. 7.16 is being used to measure the energy loss across a valve. The velocity of flow of the oil is 1.2 m/s. Calculate the value of K if the energy loss is expressed as K(v2/2g).
A pump is being used to transfer water from an open tank to one that has air at 500 kPa above the water, as shown in Fig. 7.17. If 2250 L/min is being pumped, calculate the power delivered by the pump to the water. Assume that the level of the surface in each tank is the same.
In Problem 7.8 (Fig. 7.17), if the left-hand tank is also sealed and air pressure above the water is 68 kPa, calculate the pump power.In ProblemA pump is being used to transfer water from an open tank to one that has air at 500 kPa above the water, as shown in Fig. 7.17. If 2250 L/min is being
A creek runs through a certain part of a campus where the water is falling about 2.5 m over a distance of just 8 m, and the creek before and after the fall is about 3 m wide. The sustainability club has asked you about the potential of harnessing this energy. It is difficult to measure exactly, but
A hot tub is to have 40 outlets that are each 8 mm in diameter with water exiting at 7 m/s. Treating each of the outlets as if they are at the surface of the water and exit into atmospheric pressure, would a ½ HP pump be adequate? If so, what is the minimum efficiency that will still provide
A large chipper/shredder is to be designed for use by commercial tree trimming companies. It would be mounted on a trailer to pull behind a large truck. The rotating blades of the unit protrude from a large flywheel that is driven by a fluid motor that runs on medium machine tool hydraulic oil from
Table 6.2 lists the range of typical volume flow rates for pumps in industrial oil hydraulic systems to be 3 to 30 gal/min. Express this range in the units of ft3/s and m3/s. Flow rate (m³/h) Type of system (L/min) (gal/min) Reciprocating pumps-heavy fluids and slurries 0.90–7.5 15-125 4-33
Gasoline (sg = 0.67) is flowing at 4.0 ft3/s in the fabricated reducer shown in Fig. 6.34. If the pressure before the reduction is 60 psig, calculate the pressure in the 3-indiameter section.
A pressure washer available to home owners lists 1300 psi and 2 gpm among its specifications. We know, however, that the actual pressure of the water is atmospheric (0 gage) once it exits the nozzle. The key feature of the so-called pressure washer then is actually the velocity with which it exits
Compute the time required to empty the tank shown in Fig. 6.14 if the original depth is 2.68 m. The tank diameter is 3.00 m and the orifice diameter is 150 mm. dh
Oil with a specific weight of 55.0 lb / ft3 flows from A to B through the system shown in Fig. 6.35. Calculate the volume flow rate of the oil.
A liquid refrigerant (sg = 1.08) is flowing at a weight flow rate of 28.5 N/h. Calculate the volume flow rate and the mass flow rate.
Water flows at 1.20 m/s in a circular section with a 150 mm inside diameter. Calculate the velocity of flow in a 300-mm-diameter section connected to it.
A standard steel tube, 1.5 25-mm OD × 1.5-mm wall (Appendix G.2), is carrying 19.7 L/min of oil. Calculate the velocity of flow.
Compute the resulting velocity of flow if 400 L/min of fluid flows through a DN 50 Schedule 40 pipe.
Repeat Problem 6.49 for a DN 50 Schedule 80 pipe.Repeat ProblemCompute the resulting velocity of flow if 400 L/min of fluid flows through a DN 50 Schedule 40 pipe.
Compute the resulting velocity of flow if 400 gal/min of fluid flows through a 4-in Schedule 40 pipe.
Repeat Problem 6.51 for a 4-in Schedule 80 pipe.Repeat ProblemCompute the resulting velocity of flow if 400 gal/min of fluid flows through a 4-in Schedule 40 pipe.
A standard 6-in Schedule 40 steel pipe is carrying 95 gal/min of water. The pipe then branches into two standard 3-in pipes. If the flow divides evenly between the branches, calculate the velocity of flow in all three pipes.
A flow nozzle, shown in Fig. 6.18, is used to measure the velocity of flow. If the nozzle is installed inside a 14-in Schedule 40 pipe and the nozzle diameter is 4.60 in, compute the velocity of flow at section 1 and the throat of the nozzle at section 2 when 7.50 ft3/s of water flows through the
Gasoline (sg = 0.67) is flowing at 0.11 m3/s in the fabricated tube shown in Fig. 6.19. If the pressure before the contraction is 415 kPa, calculate the pressure in the smaller tube. 415 kPa Flow 80-mm OD x 2.8-mm wall steel tube 160-mm OD x 5.5-mm wall steel tube
Water at 10°C is flowing from point A to point B through the fabricated section shown in Fig. 6.20 at the rate of 0.37 m3/s. If the pressure at A is 66.2 kPa, calculate the pressure at B.Figure 6.20 600-mm inside diameter B 4.5 m Flow 300-mm inside diameter
Kerosene with a specific weight of 50.0 lb/ft3 is flowing at 10 gal/min from a standard 1-in Schedule 40 steel pipe to a standard 2-in Schedule 40 steel pipe. Calculate the difference in pressure in the two pipes.
For the tank shown in Fig. 6.25, calculate the volume flow rate of water from the nozzle. The tank is sealed with a pressure of 20 psig above the water. The depth h is 8 ft. Air under pressure Water 3-in diameter
Calculate the pressure of the air in the sealed tank shown in Fig. 6.25 that would cause the velocity of flow to be 20 ft/s from the nozzle. The depth h is 10 ft. Air under pressure Water 3-in diameter
For the siphon in Fig. 6.26, calculate (a) the volume flow rate of water through the nozzle and (b) the pressure at points A and B. The distances X = 4.6 m and Y = 0.90 m. +B Water х 50-mm OD - x 1.5-mm wall 25-mm diameter
For the siphon in Fig. 6.26, calculate the distance X required to obtain a volume flow rate of 7.1 Ã 10-3m3/s. +B Water х 50-mm OD x 1.5-mm wall 25-mm diameter A+
For the siphon in Fig. 6.26, assume that the volume flow rate is 5.6 × 10-3 m3/s. Determine the maximum allowable distance Y if the minimum allowable pressure in the system is -18 kPa (gage).
For the siphon shown in Fig. 6.27, calculate (a) the volume flow rate of oil from the tank and (b) the pressures at points A, B, C, and D. +B 3,0 m Oil (sg - 0.86) 10.0 m 50-mm OD x 15-mm wall 25-mm diameter +D-
For the special fabricated reducer shown in Fig. 6.28, the pressure at A is 50.0 psig and the pressure at B is 42.0 psig. Calculate the velocity of flow of water at point B. Flow 1-in inside diameter 2-in inside diameter
In the fabricated enlargement shown in Fig. 6.29, the pressure at A is 25.6 psig and the pressure at B is 28.2 psig. Calculate the volume flow rate of oil (sg = 0.90). Direction of flow 5-in inside diameter 8-in inside diameter
Figure 6.30 shows a manometer being used to indicate the pressure difference between two points in a fabricated system. Calculate the volume flow rate of water in the system if the manometer deflection h is 250 mm. (This arrangement is called a venturi meter, which is often used for flow
For the venturi meter shown in Fig. 6.30, calculate the manometer deflection h if the velocity of flow of water in the 25-mm-diameter section is 10 m/s. Direction of flow 25-mm diameter 50-mm diameter Mercury (sg - 13.54)
Oil with a specific weight of 8.64 kN/m3flows from A to B through the special fabricated system shown in Fig. 6.31. Calculate the volume flow rate of oil. 50-mm inside diameter 600 mm Flow 100-mm inside diameter 130 Water 200
The venturi meter shown in Fig. 6.32 carries oil (sg = 0.90). The specific gravity of the gage fluid in the manometer is 1.40. Calculate the volume flow rate of oil. 75-mm inside diameter Flow 0.25 m 200- mm inside 0.60 m diameter
Oil with a specific gravity of 0.90 is flowing downward through the venturi meter shown in Fig. 6.33. If the manometer deflection h is 28 in, calculate the volume flow rate of oil. 4-in inside diameter 2-in inside diameter Flow Mercury (sg = 13.54)
Oil with a specific gravity of 0.90 is flowing downward through the venturi meter shown in Fig. 6.33. If the velocity of flow in the 2-in-diameter section is 10.0 ft/s, calculate the deflection h of the manometer. 4-in inside diameter 2-in inside diameter Flow Mercury (sg = 13.54)
Draw a plot of elevation head, pressure head, velocity head, and total head for the siphon system shown in Fig. 6. 27 and analyzed in Problem 6.72.Problem 6.72For siphon shown in Fig. 6.27, calculate (1) the volume flow rate of oil from the tank and (b) the pressures at points A, B, C, and D.Figure
Draw a plot of eleveation head, pressure head, velocity head, and total head for the fabricated reducer shown in Fig. 6.28 and analyzed in Problem 6.73.Problem 6.73For the special fabricated reducer shown in Fig. 6.28, the pressure at A is 50.0 psig and the pressure at B is 42.0 psig. Calculate the
Figure 6.36 shows a system in which water flows from a tank through a pipe system having several sizes and elevations. For points A-G, compute the elevation head, the pressure had, the velocity head, and the total head. Plot these values on a sketch similar to that shown in Fig. 6.7.Figure 6.7
Figure 6.37 shows a venturi meter with a U-tube manometer to measure the velocity of flow. When no flow occurs, the mercury column is balanced and its top is 300 mm below throat. Compute the volume flow rate through the meter that will cause the mercury to flow into the through. Note that for a
For the tank shown in Fig. 6.38, compute the velocity of flow from the outlet nozzle at varying depths from 10.0 ft to 2.0 ft in 2.0-ft increments. Then, use increments of 0.5 ft to zero. Plot the velocity versus depth.Figure 6.38 h
What depth of fluid above the outlet nozzle is required to deliver 200 gal/min of water from the tank shown in Fig. 6.37? The nozzle has a 3-in diameter.Figure 6.37 -D, - 75-mm diameter D,- 25-mm inside diameter Water Flow 300 mm with no flow Mercury sg - 13.54
Derive Torricelli's theorem for the velocity of flow from a tank through an orifice opening into the atmosphere under a given depth of fluid.
To what height will the jet of fluid rise for the conditions shown in Fig. 6.39? Jet 2.60 m 75 mm 0.85 m
To what height will the jet of water rise for the conditions shown in Fig. 6.40? p= 12.0 psig Jet 3.50 ft 3 in 9 in
What pressure is required above the water in Fig. 6.12 to cause the jet to rise to 28.0 ft? The water depth is 4.50 ft. h
What pressure is required above the water in Fig. 6.13 to cause the jet to rise to 9.50 m? The water depth is 1.50 m. 40.0 ft Air pressure h = 6.0 ft
Compute the time required to empty the tank shown in Fig. 6.14 if the original depth is 55 mm. The tank diameter is 300 mm and the orifice diameter is 20 mm. dh
Compute the time required to empty the tank shown in Fig. 6.14 if the original depth is 15 ft. The tank diameter is 12 ft and the orifice diameter is 6 in. dh
Compute the time required to empty the tank shown in Fig. 6.14 if the original depth is 18.5 in. The tank diameter is 22.0 in and the orifice diameter is 0.50 in. dh
Compute the time required to reduce the depth in the tank shown in Fig. 6.14 by 1.50 m if the original depth is 2.68 m. The tank diameter is 2.25 m and the orifice diameter is 50 mm. dh
Compute the time required to reduce the depth in the tank shown in Fig. 6.14 by 225 mm if the original depth is 1.38 m. The tank diameter is 1.25 m and the orifice diameter is 25 mm. dh
Compute the time required to reduce the depth in the tank shown in Fig. 6.14 by 12.5 in if the original depth is 38 in. The tank diameter is 6.25 ft and the orifice diameter is 0.625 in. dh
Compute the time required to reduce the depth in the tank shown in Fig. 6.14 by 21.0 ft if the original depth is 23.0 ft. The tank diameter is 46.5 ft and the orifice diameter is 8.75 in. dh
Repeat Problem 6.97 if the tank is sealed and a pressure of 5.0 psig is above the water in the tank.Repeat ProblemCompute the time required to empty the tank shown in Fig. 6.14 if the original depth is 15 ft. The tank diameter is 12 ft and the orifice diameter is 6 in. dh
Repeat Problem 6.101 if the tank is sealed and a pressure of 2.8 psig is above the water in the tank.Repeat ProblemCompute the time required to reduce the depth in the tank shown in Fig. 6.14 by 12.5 in if the original depth is 38 in. The tank diameter is 6.25 ft and the orifice diameter is 0.625
Repeat Problem 6.96 if the tank is sealed and a pressure of 20 kPa(gage) is above the water in the tank.Repeat ProblemCompute the time required to empty the tank shown in Fig. 6.14 if the original depth is 55 mm. The tank diameter is 300 mm and the orifice diameter is 20 mm. dh
Repeat Problem 6.100 if the tank is sealed and a pressure of 35 kPa(gage) is above the water in the tank.Repeat ProblemCompute the time required to reduce the depth in the tank shown in Fig. 6.14 by 225 mm if the original depth is 1.38 m. The tank diameter is 1.25 m and the orifice diameter is 25
A village currently carries water by hand from a lake that is 1200 m from the village center. It is later determined that the surface of the lake is 3 m above the elevation of the village, so someone began to wonder if a simple plumbing line could deliver the water. If a flexible plastic line with
A “spa tub” is to be designed to replace bath tubs in renovations. There are to be 6 outlet nozzles, each with a diameter of 12 mm, and each should have an outlet velocity of 12 m/s. What is the required flow rate from the single pump that supplies all of these nozzles? If there is one suction
A simple soft drink system relies on pressurized CO2to force the soft drink (sg = 1.08) from its tank sitting on the floor up to the outlet where cups are filled. Determine the required CO2pressure to allow a 16 oz cup to be filled in 6 s, when the beverage tank is nearly empty, given Fig. 6.41.
A concept team for a toy company is considering a new squirt gun. They have an idea for one that could shoot a vertical stream to a height 7 m from a 5-mm-diameter nozzle. People like squirt guns that shoot for a long time, but also do not like water tanks that are too big or heavy. If the tank of
Bernoullis principle applies to Venturi tubes that are used in many practical devices such as air brush painters, vacuum systems, carburetors, water bed drains and many other devices. One such system used to spray fertilizer is shown in Fig. 6.42. Port A is
A decorative fountain for a corporate world headquarters is to be designed to shoot a stream of water straight up in the air. If the designers would like the fountain to reach at least 50 ft into the air, what pressure must exist at the nozzle inlet? The nozzle has an inlet diameter of 5.0 in and
You are to develop a mixing valve for use in a dairy processing facility. The rated output of the valve is to be 10 gal/min of chocolate milk. There will be two separate input lines, one for milk and the other for chocolate syrup. Your valve is to ensure that the proper ratio of milk to chocolate
While maneuvering at the scene of a fire, a truck accidently backs over a fire hydrant and breaks it. The diameter of the water line to the hydrant is 6 in, but due to internal plumbing, the effective diameter at the water outlet is 4 in. If the flow rate of the water leaving the hydrant is 1000
You would like to empty the in-ground pool in the back yard but the drain at the bottom of the pool is no longer functional. Given the dimensions in Fig. 6.43, determine the flow rate from the pool at the instant shown if the hose has an inside diameter of 0.5 in. What had to happen to initiate
For the system shown in Fig. 6.24, calculate (a) the volume flow rate of oil from the nozzle and (b) the pressures at A and B. Oil 3,0 m (sg = 0.85) 35-mm diameter 120-mm OD x 3.5-mm wall Flow B+ FA+ 1.0 m
For the system shown in Fig. 6.23, calculate (a) the volume flow rate of water from the nozzle and (b) the pressure at point A. 2.4 m Water 3.6 m 160-mm OD 50-mm diameter x 5.5-mm wall Flow
Calculate the pressure required in the larger section just ahead of the nozzle in Fig. 6.22 to produce a jet velocity of 75 ft/s. The fluid is water at 180°F. 1.0-in diameter Hlow 0.75-in diameter
Calculate the volume flow rate of water at 5°C through the system shown in Fig. 6.21. 35-mm diameter Flow 3.65 m 80-mm OD x 2.8-mm wal l steel tube 565 kPa
A venturi meter is a device that uses a constriction in a flow system to measure the velocity of flow. Figure 6.17 illustrates one type of design. If the main pipe section is a standard hydraulic copper tube having a 100-mm outside diameter à 3.5-mm-wall thickness, compute the volume
Use Fig. 6.3 to specify suitable Schedule 40 pipe sizes for carrying the given volume fl ow rate of water in the suction line and in the discharge line of a pumped distribution system. Select the pipe sizes both above and below the curve for the given fl ow rate and then calculate the actual
Use Fig. 6.3 to specify suitable Schedule 40 pipe sizes for carrying the given volume fl ow rate of water in the suction line and in the discharge line of a pumped distribution system. Select the pipe sizes both above and below the curve for the given fl ow rate and then calculate the actual
Use Fig. 6.3 to specify suitable Schedule 40 pipe sizes for carrying the given volume fl ow rate of water in the suction line and in the discharge line of a pumped distribution system. Select the pipe sizes both above and below the curve for the given fl ow rate and then calculate the actual
From the list of standard hydraulic steel tubing in Appendix G.2, select the smallest size that would carry 2.80 L/min of oil with a maximum velocity of 0.30 m/s.
Repeat Problem 6.47, but use Schedule 80 DN pipe. Repeat Problem Table 6.2 shows the typical volume flow rate for centrifugal fire-fighting pumps is in the range of 1800 L/min to 9500 L/min. Specify the smallest suitable DN size of Schedule 40 steel pipe for each flow rate that will maintain the
Table 6.2 shows the typical volume flow rate for centrifugal fire-fighting pumps is in the range of 1800 L/min to 9500 L/min. Specify the smallest suitable DN size of Schedule 40 steel pipe for each flow rate that will maintain the maximum velocity of flow at 2.0 m/s. TABLE 6.2 Typical volume flow
Repeat Problem 6.45, except specify suitable sizes for the suction lines to maintain the velocity between 2.0 ft/s and 7.0 ft/s for 30 gal/min of flow.Repeat ProblemThe recommended velocity of flow in the discharge line of an oil hydraulic system is in the range of 8.0 to 25.0 ft/s. If the pump
The recommended velocity of flow in the discharge line of an oil hydraulic system is in the range of 8.0 to 25.0 ft/s. If the pump delivers 30 gal/min of oil, specify the smallest and largest suitable sizes of steel tubing from Appendix G.1.
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