Applied Fluid Mechanics (7th Edition)
7th Edition
ISBN: 9780132558921
Author: Robert L. Mott, Joseph A. Untener
Publisher: PEARSON
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Chapter 8, Problem 8.52PP
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Water at 16,2°C is to be discharged from a reservoir at a rate of 16,2 L/s using two horizontal cast iron (roughness value ɛ=0.00026m) pipes connected in series and a pump between them. The first pipe is 26,2 m long and has a 66,2 mm diameter, while the second pipe is 36,2 m long and has a 46,2 mm diameter. The water level in the reservoir is 30 m above the centerline of the pipe. The pipe entrance is sharp-edged (KL=0.562), and losses associated with the connection of the pump are negligible. Neglecting the effect of the kinetic energy correction factor, determine the required pumping head, the minimum pumping power and electric motor power for total efficiency value of 76,2% to maintain the indicated flow rate. Water density is r=996,2 kg/m3, dynamic viscosity µ= 1.162x10-3kg/ms. Solve the problem by making the necessary assumptions and drawing the schematic figure.
9.7. Through a hydraulic turbine flow 2.8 m3/s of water. On the 1 m inlet pipe at elevation 43.5,a pressure gage reads 345 kPa. On the 1.5 m discharge pipe at elevation 39, a vacuum gage reads150 mm of mercury. If the total head lost through pipes and turbines between elevations 43.5and 39 is 9 m, what power may be expected from the machine?
Glycerin, sg = 1.26 and μ = 1.49 Pa-s, flows through a 600-mm Ø pipe at 85 liters per second.
a. What is the Reynold’s Number?
b. What is friction factor?
c. What is the critical velocity?
Chapter 8 Solutions
Applied Fluid Mechanics (7th Edition)
Ch. 8 - A 4-in-ductile iron pipe carries 0.20ft3/s of...Ch. 8 - Calculate the minimum velocity of flow in ft/s of...Ch. 8 - Calculate the maximum volume flow rate of fuel oil...Ch. 8 - Calculate the Reynolds number for the flow of each...Ch. 8 - Determine the smallest metric hydraulic copper...Ch. 8 - In an existing installation, SAE 10 oil (sg = 0.89...Ch. 8 - From the data in Appendix C, we can see that...Ch. 8 - Compute the Reynolds number for the flow of 325...Ch. 8 - Benzene (sg = 0.86 ) at 60c C is flowing at 25...Ch. 8 - Hot water at 80 C is flowing to a dishwasher at a...
Ch. 8 - A major water main is an 18 -in ductile iron pipe....Ch. 8 - ]8.12 An engine crankcase contains SAE 10 motor...Ch. 8 - Repeat Problem 8.12 for an oil temperature of 160...Ch. 8 - At approximately what volume flow rate will propyl...Ch. 8 - SAE 30 oil (sg = 0.89 ) is flowing at 45 L/min...Ch. 8 - Repeat Problem 8.15 for an oil temperature of 160...Ch. 8 - Repeat Problem 8.15, except the tube is 50 mm...Ch. 8 - Repeat Problem 8.17 for an oil temperature of 0 C.Ch. 8 - The lubrication system for a punch press delivers...Ch. 8 - After the press has run for some time, the...Ch. 8 - A system is being designed to carry 500 gal/min of...Ch. 8 - The range of Reynolds numbers between 2000 and...Ch. 8 - The water line described in Problem 8.22was a cold...Ch. 8 - In a dairy, milk at 100 F is reported to have a...Ch. 8 - In a soft-drink bottling plant, the concentrated...Ch. 8 - ]8.26 A certain jet fuel has a kinematic viscosity...Ch. 8 - Crude oil is flowing vertically downward through...Ch. 8 - Water at 75 C is flowing in a standard hydraulic...Ch. 8 - Fuel oil is flowing in a 4 -in Schedule 40 steel...Ch. 8 - A 3-in Schedule 40 steel pipe is 5000 ft long and...Ch. 8 - Benzene at 60 C is flowing in a DN 25 Schedule 80...Ch. 8 - As a test to determine the effective wall...Ch. 8 - Water at F flows from a storage tank through ft...Ch. 8 - A water main is an 18 -in-diameter concrete...Ch. 8 - Figure 8.12shows a portion of a fire protection...Ch. 8 - A submersible deep-well pump delivers 745 gal/h of...Ch. 8 - On a farm, water at 60 F is delivered from a...Ch. 8 - Figure 8.15 shows a system for delivering lawn...Ch. 8 - A pipeline transporting crude oil (sg = 0.93 ) at...Ch. 8 - For the pipeline described in Problem 8.39,...Ch. 8 - Water at 10 C flows at the rate of 900 L/min from...Ch. 8 - For the system shown in Fig. 8.17, compute the...Ch. 8 - Fuel oil (sg = 0.94 ) is being delivered to a...Ch. 8 - Figure 8.18 shows a system used to spray polluted...Ch. 8 - In a chemical processing system, the flow of...Ch. 8 - Water at 60 F is being pumped from a stream to a...Ch. 8 - For the pump described in Problem 8.46, if the...Ch. 8 - Gasoline at 50 F flows from point A to point B...Ch. 8 - Figure 8.20 shows a pump recirculating 300 gal/min...Ch. 8 - Linseed oil at 25 C flows at 3.65 in a standard...Ch. 8 - Glycerin at 25 C flows through a straight...Ch. 8 - Water at 75 C flows in a standard hydraulic copper...Ch. 8 - Benzene (sg = 0.88 ) at 60 C, flows in a DN 25...Ch. 8 - Water at 80 F flows in a 6 -in coated ductile iron...Ch. 8 - Water at 50 F flows at 15.0 ft3/s in a concrete...Ch. 8 - Water at 60 F flows at 1500 gal/min in a 10 -in...Ch. 8 - ]8.57 A liquid fertilizer solution (sg = 1.10 )...Ch. 8 - Crude oil (sg = 0.93 ) at 100 C flows at a rate of...Ch. 8 - Water at 65 C flows in a DN 40 Schedule 40 steel...Ch. 8 - Propyl alcohol flows in a standard hydraulic...Ch. 8 - ]3.61 Water at 70 F flows in a 12 -in-diameter...Ch. 8 - Heavy fuel oil at 77 F flows in a 6 -in Schedule...Ch. 8 - Water flows at a rate of 1.50ft3/s through 550 ft...Ch. 8 - Compute the energy loss as water flows in a...Ch. 8 - ]8.65 A water main is an 18 -in-diameter concrete...Ch. 8 - A fire protection system includes 1500 ft of 10...Ch. 8 - ]8.67 A standard hydraulic copper tube, 120 mm...Ch. 8 - Compute the energy loss as 2.0ft3/s of water flows...Ch. 8 - It is desired to flow 2.0ft3/s of water through...Ch. 8 - Specify a suitable size of new, clean Schedule 40...Ch. 8 - For the pipe selected in Problem 8.70, compute the...Ch. 8 - Compare the head loss that would result from the...Ch. 8 - In Problem 6.107, a theoretical flow rate of water...Ch. 8 - A pipeline is needed to transport medium fuel oil...Ch. 8 - Medium fuel oil at 25 C is to be pumped at a flow...Ch. 8 - A tremendous amount of study has gone into the...Ch. 8 - In a given installation, it is determined that the...Ch. 8 - "Laminar" fountains have become quite popular due...Ch. 8 - Use PIPE-FLO to model a straight horizontal run of...
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- The static head at a certain station on a 101.6 mm schedule 40, clean iron cold pipe is 70.69 m The static head is to be determined for a station 162.4 m farther along the pipe in the direction of flow,and where the pipe is 10.14 m higher than station 1. Between the stations are two elbows. Flow rateis 1452 l/min.arrow_forwardAir flows through a duct at 2,700 cubic feet per minute (CFM). After several feet and a few vents, the air-flow decreases to 1,890 CFM. What is the percent drop that has occurred? (Simplify your answer completely.)arrow_forwardSuppose the pump of Fig. P14–23 is operating atfree delivery conditions. The pipe, both upstream and downstreamof the pump, has an inner diameter of 2.0 cm andnearly zero roughness. The minor loss coefficient associatedwith the sharp inlet is 0.50, each valve has a minor loss coefficientof 2.4, and each of the three elbows has a minor losscoefficient of 0.90. The contraction at the exit reduces thediameter by a factor of 0.60 (60% of the pipe diameter), andthe minor loss coefficient of the contraction is 0.15. Note thatthis minor loss coefficient is based on the average exit velocity,not the average velocity through the pipe itself. The total length of pipe is 6.7 m, and the elevation difference is (z1 - z2)= 4.6 m. Estimate the volume flow rate through this pipingsystem. Complete Answer, Thank youarrow_forward
- In a cast-iron piping system of 450 ft length shown below, the rate of flow is 1 cfs at 70°F. Assuming the total head losses for the flow in the system is 10 ft, what is the energy head supplied by the pump E? a. 40 ft b. 50 ft c. 60 ft d. 510 ft e. None of the abovearrow_forwardTwo pipes, D 1 = 3in , L 1 = 300 ft, and D 2 = 2in , L 2 = 180 ft respectively are connected in series with a total pressure drop of 3 psi. What is the flow of syrup at 20 C? (ρ=917.37 kg/m 3 , μ=0.29 Pa s)arrow_forward6. A 6 250 m long, 914 mm (inside diameter) cast iron pipeline connects an upstream reservoir (water surface elevation 521.3 m) to a downstream reservoir (water surface elevation 512.3 m). A discharge valve at the downstream end is used to control flow; when this valve is fully open, the measured discharge in the pipeline is 840 L/s under the naturally available head difference. (a) Assuming fully developed turbulent flow and that all other local losses are negligible, estimate the loss coefficient k for the fully open valve.(b) Because of increasing urban development, the flow under the natural head difference is considered to be inadequate and it is proposed to increase this flow with pumping. The head-capacity curve for thepump can be approximated by the equation H = 8 – 3.5Q2 in which H is the total dynamic head on the pump (in m) and Q is the discharge (in m3/s). What is the discharge that can now be obtained from the system where the pump is installed at a cross-section of the…arrow_forward
- C2. A conical tube is fixed vertically with its smaller end upwards and it forms a part of the pipeline. The diameter at the smaller end is 245 mm and at the larger end is 467 mm. The length of the conical tube is 1.8 m and the flow rate of the oil is 128 liters/s. The pressure at the smaller end is equivalent to a head of 9.7 m of oil. Considering the following two cases: (1) Neglecting friction, (without head loss) determine (i) the velocity at the smaller end in m/s, (ii) the velocity at the larger end in m/s, and (iii) the pressure at the larger end of the tube. (2) If a head loss (with head loss) in the tube is hL= 0.0153(V1-V2)2, where V1 is the velocity at the smaller end and V2 is the velocity at the larger end, determine (iv) the head loss in m of oil and (v) the pressure at the larger end of the tube.arrow_forward04: Three pipes of diameters 300 mm, 200 mm and 400 mm and lengths 450 m, 255 m and 315 m, respectively, are connected in series. The difference in water surface levels in two tanks is 18 m. Determine the rate of water flow if coefficients of friction are 0.0075, 0.0078 and 0.0072, respectively, considering: (a) with minor losses, (b) without (neglecting) ‘minor losses.arrow_forwardSuppose that you are willing to determine the diameter of the water jet impinging to the sink from the kitchen tap.The tap is produced to supply three different flow rates of the low, medium, and high. For each flow rate level, waterthat comes from the tap fills the beaker with a volume of 30 mL in 10 s, 6 s, and 2 s, respectively. The outlet of the tapis 13 mm, and the distance between the tap outlet and the sink is 53 mm. Determine the diameters of the water jetimpinging on the sink at three given flow rates.arrow_forward
- Paolo owns a hydroelectric power generating system as shown in HG008. Water flows from an upper reservoir to a lower one passing through a turbine at the rate of 150 lps. The total length of pipe connecting the two reservoir is 100 m. The pipe diameter is 250 mm and the Hazen – Williams coefficient is 120. The water surface elevations of reservoirs 1 and 2 are 197 m and 50 m, respectively. Find the velocity of flow in pipe in m/s.arrow_forwardGrape juice is being pumped at 27ºC from an open tank through a sanitary tube (Di = 0.03561 m) for second tank on a higher level. The mass flow rate is 3 kg/s (ρ = 997.1 kg/m³) up to 60 m of linear pipe, with 2 standard 90º elbows (Cff = 1.5) and an angle valve (Cff = 2). the tank supply line maintains a liquid level of 6 m, and the grape juice leaves at a height of 6 m. 24 m above the ground. Calculate the efficiency requirements of the pump that has an efficiency of 65%.arrow_forwardThe lengths of two pipes with the same friction factor, "f," are parallel. What must the flow ratio be if the first pipe has twice the diameter of the second?arrow_forward
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