Fluid Mechanics: Fundamentals and Applications
4th Edition
ISBN: 9781259696534
Author: Yunus A. Cengel Dr., John M. Cimbala
Publisher: McGraw-Hill Education
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Chapter 14, Problem 94P
To determine
The relation between dimensionless turbine specific speed and conventional U.S turbine specific speed.
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A single-stage centrifugal pump having a suction pipe 254 mm in diameter anda discharge pipe diameter of 5 inches is being tested and found out to discharge 48 lps ofwater. A pressure gage connected to the inlet pipe reads 118 mm Hg vacuum and adischarge gage reads 150 kPa at a distance 100 cm above the point where the inletpressure was measured. If the kW rating of the driving motor is 12 kW, calculate:
a) the pump efficiency.
b) if this pump runs at 1800 rpm, what will be the new discharge rate,head, and power developed if the pump speed was increased to 3600 rpm? Assumeconstant efficiency.
c) Determine the pump type.
Data measured during tests of centrifugal pump driven at 3000 rpm are
Parameter
Inlet, Section 1
Outlet, Section 2
Gage pressure, p (kPa)
90
Elevation above datum, z (m)
10
Average speed offlow,V (m/s)
The flow rate is 15 m3 /hr and the torque applied to the pump shaft is 6.5 N.m. The pump efficiency is 75%, and the
electric motor efficiency is 85%. Find the electric power required, and the gage pressure at outlet, section 2. Write the
pump specific speed in terms of the flow coefficient and the head coefficient.
A single jet Pelton turbine operates a 10,000 KW generator. The
generator efficiency is 93%, turbine efficiency is 86%, turbine head is
350 m, coefficient of nozzle velocity is 0.98, speed ratio is 0.46 and
the jet ratio is approximately 12. Find the size of the jet, mear
diameter of runner, synchronous speed, specific speed of turbine
and bucket dimensions.
Chapter 14 Solutions
Fluid Mechanics: Fundamentals and Applications
Ch. 14 - What is the more common term for an...Ch. 14 - What the primary differences between fans,...Ch. 14 - List at least two common examples of fans, of...Ch. 14 - Discuss the primary difference between a porn...Ch. 14 - Explain why there is an “extra” term in the...Ch. 14 - For a turbine, discuss the difference between...Ch. 14 - Prob. 7CPCh. 14 - Prob. 8PCh. 14 - Prob. 9PCh. 14 - Prob. 10CP
Ch. 14 - There are three main categories of dynamic pumps....Ch. 14 - For each statement about cow cetrifugal the...Ch. 14 - Prob. 13CPCh. 14 - Consider flow through a water pump. For each...Ch. 14 - Write the equation that defines actual (available)...Ch. 14 - Consider a typical centrifugal liquid pump. For...Ch. 14 - Prob. 17CPCh. 14 - Consider steady, incompressible flow through two...Ch. 14 - Prob. 19CPCh. 14 - Prob. 20PCh. 14 - Suppose the pump of Fig. P1 4-19C is situated...Ch. 14 - Prob. 22PCh. 14 - Prob. 23EPCh. 14 - Consider the flow system sketched in Fig. PI 4-24....Ch. 14 - Prob. 25PCh. 14 - Repeat Prob. 14-25, but with a rough pipe-pipe...Ch. 14 - Consider the piping system of Fig. P14—24. with...Ch. 14 - The performance data for a centrifugal water pump...Ch. 14 - For the centrifugal water pump of Prob. 14-29,...Ch. 14 - Suppose the pump of Probs. 14-29 and 14-30 is used...Ch. 14 - Suppose you are looking into purchasing a water...Ch. 14 - The performance data of a water pump follow the...Ch. 14 - For the application at hand, the flow rate of...Ch. 14 - A water pump is used to pump water from one large...Ch. 14 - For the pump and piping system of Prob. 14-35E,...Ch. 14 - A water pump is used to pump water from one large...Ch. 14 - Suppose that the free surface of the inlet...Ch. 14 - Calculate the volume flow rate between the...Ch. 14 - Comparing the results of Probs. 14-39 and 14-43,...Ch. 14 - Prob. 45PCh. 14 - The performance data for a centrifugal water pump...Ch. 14 - Transform each column of the pump performance data...Ch. 14 - 14-51 A local ventilation system (a hood and duct...Ch. 14 - Prob. 52PCh. 14 - Repeat Prob. 14-51, ignoring all minor losses. How...Ch. 14 - Suppose the one- way of Fig. P14-51 malfunctions...Ch. 14 - A local ventilation system (a hood and duct...Ch. 14 - For the duct system and fan of Prob. 14-55E,...Ch. 14 - Repeat Prob. 14-55E, ignoring all minor losses....Ch. 14 - A self-priming centrifugal pump is used to pump...Ch. 14 - Repeat Prob. 14-60. but at a water temperature of...Ch. 14 - Repeat Prob. 14-60, but with the pipe diameter...Ch. 14 - Prob. 63EPCh. 14 - Prob. 64EPCh. 14 - Prob. 66PCh. 14 - Prob. 67PCh. 14 - Prob. 68PCh. 14 - Prob. 69PCh. 14 - Two water pumps are arranged in Series. The...Ch. 14 - The same two water pumps of Prob. 14-70 are...Ch. 14 - Prob. 72CPCh. 14 - Name and briefly describe the differences between...Ch. 14 - Discuss the meaning of reverse swirl in reaction...Ch. 14 - Prob. 75CPCh. 14 - Prob. 76CPCh. 14 - Prob. 77PCh. 14 - Prob. 78PCh. 14 - Prob. 79PCh. 14 - Prob. 80PCh. 14 - Wind ( =1.204kg/m3 ) blows through a HAWT wind...Ch. 14 - Prob. 82PCh. 14 - Prob. 84CPCh. 14 - A Francis radial-flow hydroturbine has the...Ch. 14 - Prob. 87PCh. 14 - Prob. 88PCh. 14 - Prob. 89PCh. 14 - Prob. 90CPCh. 14 - Prob. 91CPCh. 14 - Discuss which dimensionless pump performance...Ch. 14 - Prob. 93CPCh. 14 - Prob. 94PCh. 14 - Prob. 95PCh. 14 - Prob. 96PCh. 14 - Prob. 97PCh. 14 - Prob. 98PCh. 14 - Prob. 99PCh. 14 - Prob. 100EPCh. 14 - Prob. 101PCh. 14 - Calculate the pump specific speed of the pump of...Ch. 14 - Prob. 103PCh. 14 - Prob. 104PCh. 14 - Prob. 105PCh. 14 - Prob. 106PCh. 14 - Prob. 107EPCh. 14 - Prob. 108PCh. 14 - Prob. 109PCh. 14 - Prob. 110PCh. 14 - Prove that the model turbine (Prob. 14-109) and...Ch. 14 - Prob. 112PCh. 14 - Prob. 113PCh. 14 - Prob. 114PCh. 14 - Prob. 115CPCh. 14 - Prob. 116CPCh. 14 - Prob. 117CPCh. 14 - Prob. 118PCh. 14 - For two dynamically similar pumps, manipulate the...Ch. 14 - Prob. 120PCh. 14 - Prob. 121PCh. 14 - Prob. 122PCh. 14 - Calculate and compare the turbine specific speed...Ch. 14 - Prob. 124PCh. 14 - Prob. 125PCh. 14 - Prob. 126PCh. 14 - Prob. 127PCh. 14 - Prob. 128PCh. 14 - Prob. 129PCh. 14 - Prob. 130PCh. 14 - Prob. 131PCh. 14 - Prob. 132PCh. 14 - Prob. 133PCh. 14 - Prob. 134PCh. 14 - Prob. 135PCh. 14 - A two-lobe rotary positive-displacement pump moves...Ch. 14 - Prob. 137PCh. 14 - Prob. 138PCh. 14 - Prob. 139PCh. 14 - Prob. 140PCh. 14 - Which choice is correct for the comparison of the...Ch. 14 - Prob. 142PCh. 14 - In a hydroelectric power plant, water flows...Ch. 14 - Prob. 144PCh. 14 - Prob. 145PCh. 14 - Prob. 146PCh. 14 - Prob. 147PCh. 14 - Prob. 148PCh. 14 - Prob. 149PCh. 14 - Prob. 150PCh. 14 - Prob. 151P
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- Example 1: A system has a volume flow rate requirement of 1lit/s with an index run AP of 30kPa. Find an appropriate pump from the A manufacturer's catalogue gives the following information for a centrifugal pump operating at 12rev/s: P| 49.38 47.5| 44.38 40 34.38 27.5 19.38 Q|0.25 0.5 0.75 1.25 1.5 1.75 yelume flow ratearrow_forwardP (6-5) Two centrifugal pumps are connected in parallel in a given pumping system. Plot total head Ah against capacity Q pump and system curves for both pumps running on the basis of the following data: Operating data for pump 1 Operating data for pump 2 Ahm, 40.0 35.0 30.0 25.0 Ah m. 0.0 35 30 25 Qim³/h. 169 209 239 265 Q₂m/h 0 136 203 267 data for system Ah m, 20.0 25.0 30.0 35.0 Q.m³/h, 0 244 372 470arrow_forwardAn aqueduct is required to supply water to the community.Data: Families = 12 Average members per family = 3 people Breakfast, lunch and dinner = 15 total liters / family Showers = 10lt / person, one daily shower Kitchen wash = 13lts / day Total distance of the pipeline to the storage tank = 1200 meters Total height H from the pump point to delivery to the tank = 70 meters Determine: Estimation of the total volume of the recommended tank, an autonomy of at leas 2 days of storage. It is required to propose a pump that allows at least filling the tank between 5 to 12 hours operation, it must include details of the pump, as well as its curve Image: schematic detail of the proposed systemarrow_forward
- A single-stage centrifugal pump having a suction pipe 254 mm in diameter anda discharge pipe diameter of 5 inches is being tested and found out to discharge 48 lps ofwater. A pressure gage connected to the inlet pipe reads 118 mm Hg vacuum and adischarge gage reads 150 kPa at a distance 100 cm above the point where the inletpressure was measured. If the kW rating of the driving motor is 12 kW, calculate a) thepump efficiency. b) if this pump runs at 1800 rpm, what will be the new discharge rate,head, and power developed if the pump speed was increased to 3600 rpm? Assumeconstant efficiency. c) Determine the pump type.arrow_forwardAn irrigation line carries water from a lake down into an arid valley 810 ft below the surface of the lake. The water discharge through a nozzle with jet velocity of 220ft/s, the diameter of the jet is 4 in. Find the power loss in friction expressed in hp. (WITH FREE BODY DIAGRAM) CHOICES: A.127 B.120 C.158.45 D.187arrow_forwardA tank contains air at stagnation properties of 200 kPa and 30 C. A vent of 3 cm diameter is opened. a) Find air flow rate if Pb = 150 kPa and b) if Pb = 101.35 kPa. [Ans.: For Cd = 1, a) 0.29 and b) 0.33 kg/s].arrow_forward
- A pump delivers 20 cfm of water having a density of 62 lbs. per cubic foot. The suction anddischarge gage reads 5 inches Hg vacuum and 30 psi respectively. The discharge gage is 5 ft abovethe suction gage. If pump efficiency is 70%, what is the motor power?arrow_forwardvolume flow rate requirement of 21it/s with an of 60К Pa. A system has a index run ΔΡ Find an appropriate pump from the manufacturer's catalogue gives the following information for a centrifugal pump operating at 24rev/s: kPaQ lit/s 98.76 0.5 95 1 88.76 1.5 80 68.38 2.5 55 38.76 3.5 Two geometrically similar pumps are running at the same speed of 1000r.p.m. One has an impeller di ameter of 0. 4m and discharge of 301/s against a head of 20m. If the other pump gives half of this discharge rate, determine the head, diameter and power of the second pump.arrow_forwardExample: Two centrifugal pumps are connected in parallel in a given pumping system. Plot total head Ah against capacity Q pump and system curves for both pumps running on the basis of the following data operating data for pump 1 Ah, m 40 35 30 25 Qs, m³/h 169 209 239 265 operating data for pump 2 Ah, m 40 35 30 25 Qs, m³/h 0 136 203 267 Data for system Ah, m 20 20 25 30 35 Qs, m³/h 0 244 372 470arrow_forward
- Q.4 A horizontal - shaft centrifugal pump lifts water at 65°C. The suction nozzle is one meter below pump centerline. The pressure at this point equals 200 kPa gauge and velocity is 3 m/s. Steam tables show saturation pressure at 65°C is 25 kPa, and specific volume of the saturated liquid is 0.001020 m/kg. The pump Net Positive Suction Head (NPSH) in meters isarrow_forward1. A pump 260mm suction pipe and a 150mm discharge pipe is used to deliver 58L/s of water. The suction gage reads 117 mm Hg vacuum and the discharge gage located 120 cm above the suction gage which reads 110 kPa gage. Determine: a. The total dynamic head (TDH) in meters 18.54 O 14.49 16.32 b. The pump efficiency in % if the power supplied by the motor is 15hp. 69.32 66.55 O 73.66arrow_forwardA single jet Pelton turbine operates a 10,000 kW generator. The generator efficiency is 93%, turbine efficiency is 86%, turbine head is 350 m, coefficient of nozzle velocity is 0.98, speed ratio is 0.46 and the jet ratio is approximately 12. Find the size of the jet, mean diameter of runner, synchronous speed, specific speed of turbine and bucket dimensions.arrow_forward
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