FLUID MECHANICS FUNDAMENTALS+APPS
4th Edition
ISBN: 2810022150991
Author: CENGEL
Publisher: MCG
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Chapter 14, Problem 149P
To determine
The break horse power output of the new turbine.
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A turbine running at 400 rpm has a specific speed of 160 rpm and head available is 41 m. If the rating of each turbine installed is 200 kw, how many turbines must be used?
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3. A 90% efficient Francis turbine running at 100 rpm discharges 6m * 3/s of water. The inner runner radius is 1.8 m and the outer periphery of the wheel has a radius of 2.5 m. The blade height is 50 cm. The blade angle beta_{1} is 80 degrees and beta_{2} is 160 degrees Find the vane angle, torque, and the power from the turbine
Chapter 14 Solutions
FLUID MECHANICS FUNDAMENTALS+APPS
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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- A Kaplan turbine has the following specifications: H =25 ft., N= 400 rpm; power = 650 hp. If the efficiency of the unit is 90%, estimate (a) the flow rate, (b) approximate diameter of the runner, (c) turbine setting to avoid cavitation if the location is at sea level, and (d) turbine setting to avoid cavitation if the location of the unit is at an elevation of 5000 ft. The local temperature is 60°F. Ans: (a) Q=254 cfs; (c) Hs= 5.8 ft.; (d) 0.12 ftarrow_forwardQUESTION 6 A turbine develops 240 kW at 275 r/min under a pressure head of 18 m. A similar machine must be designed to provide 950 kW under a pressure head of 23 m. Determine of the new machine: 6.1 its specific speed, 6.2 rotational speed, and 6.3 scale ratio.arrow_forwardB-A pump has the following parameters N=2133.5 RPM, Ns = 40 RPM, D= 37.1 cm and is used to pump water up to 90 m(H) at maximum efficiency operation: write the answer only (a) At what speed should the pump be operated to pump water up to (76 m)? (b) What is the discharge in each case? (c) What is pumping power needed in each case? (d) What is consumed electrical power in each case if max = 90%? e- A pump discharges liquid at the rate of Q against a head of H. If specific weight of the liquid is w, find the expression for the pumping power.arrow_forward
- A Kaplan turbine has the following specifications: H =25 ft., N=400 rpm; power = 650 hp. If the efficiency of the unit is 90%, estimate (a) the flow rate, (b) approxi-mate diameter of the runner, (c) turbine setting to avoid cavitation if the location is at sea level, and (d) turbine setting to avoid cavitation if the location of the unitis at an elevation of 5000 ft. The local temperature is 60°F.Ans: (a) Q=254 cfs; (c) Hs=5.8 ft.; (d) 0.12 ft.arrow_forwardIt is required to construct a hydraulic turbine (inward Francis type) for a hydraulic power plant to operate under the following conditions: rotating speed N = 110 rpm, discharge Q = 11 m3/s, the radial velocity at the inlet Cr1 = 2 m/s, the radial velocity at exit Cr2 = 9.5 m/s and the physical data are: the outside diameter D1 = 4.5 m, the absolute inlet angle α1 = 15°, the absolute exit angle α2 = 90° (radial flow at exit). Assume that the potential energy is constant (Z1 = Z2), the pressure head at exit equal 6 m, the hydraulic losses are 2 m, and no draft tube. Calculate the following:The pressure head at entrance in kg/cm2It is required to construct a prototype to predict the actual machine performance, the assumed outside diameter D2 of the prototype was 0.3 m and the hydraulic circuit in the laboratory has the following specification: Available head = 5.5 m, Hydraulic efficiency = 0.8. Find the required speed, in RPM: The Head subjected on the turbine in meters.The…arrow_forwardThe characteristics of a particular pump are shown in the image below. Calculate the head and discharge one would get at maximum efficiency if the size was doubled and the speed was halved.arrow_forward
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- It is required to construct a hydraulic turbine (inward Francis type) for a hydraulic power plant to operate under the following conditions: rotating speed N = 110 rpm, discharge Q = 11 m3/s, the radial velocity at the inlet Cr1 = 2 m/s, the radial velocity at exit Cr2 = 9.5 m/s and the physical data are: the outside diameter D1 = 4.5 m, the absolute inlet angle a1 = 15°, the absolute exit angle a2 = 90° (radial flow at exit). Assume that the potential energy is constant (Z1 = Z2), the pressure head at exit equal 6 m, the hydraulic losses are 2 m, and no draft tube. Calculate the following: A) The Head subjected on the turbine in meters. B) The specific speed. 39.4 19.7 78.8 142.0 2.9 2.9 19.7 78.8 142.0 39.4 C) The pressure head at entrance in kg/cm2. D) It is required to construct a prototype to predict the actual machine performance, the assumed outside diameter D2 of the prototype was 0.3 m and the hydraulic circuit in the laboratory has the following specification: Available head…arrow_forwardQ Consider the following data relating toperformance of a centrifugal pump:speed 1200 rpm, flow rate 30 L/s, head 20 m, and power 5 kW. If the speed of the pump is increased to 1500 rpm, assuming the efficiency isunaltered, Find the new flow rate and head.arrow_forwardA certain hydropower plant is being supplied by river flow of 900 cubic ft/sec and the head on the site is 200 ft. To develop maximum capacity it was proposed to install 2 turbines, one of which is 1.5 times the capacity of the other. Both turbine units are assumed to have efficiency of 85%. Determine (a) the total power developed, (b) what is the power developed by turbine #1 and by turbine #2 and (c) Rotative speed of each turbine unit assuming specific speed equal to 70 rpm.arrow_forward
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