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 81P
Wind (
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A two-bladed horizontal axis wind generator has a 30 m blade length. At an 8.8 m/s wind speed, this particular turbine generates 421 kW with a 35% efficiency (i.e., Cp = 0.35). What is the most power a hypothetical turbine could generate at this wind speed? Assume that the density of air is 1.25 kg per cubic meter.
A fan delivers 4.804 m^3/sec at a static pressure of 5.245 cm of water when operating at a speed of 511.31 rpm.
The power input required is 3.515 kW.
If 9.103 m^3/s are desired in the same fan and installation, find the pressure in cm of water
Answer in whole number
= 0.547
59.6
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938 Power Plant Engineering
16 km. The efficiencies of turbine and generator are 93% each. The density os
water is 1025 kg/m³. Calculate (a) the quantity of water flowing through c
turbine at maximum output in m/s,
(b) the surface area of reservoir in km²,
(c) the wash behind the embankment at full reservoir capacity,
(d) energy produced in TWh per year.
(1 TWh (tera-watt hour) = 10° GWh= 10° MWh= 10° kWh=10'² Wh=3.6× 10!5 ,
%3D
%3D
%3D
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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- 2. A wind turbine with a blade-length of 45 m is producing 3 GWh annually. It is located in an area with a mean temperature of 6.8°C. (a) Assuming the wind speed distribution is constant over the year, calculate the wind speed for a turbine efficiency of 70% with respect to the maximum theoretically possible efficiency.. (b) Consider now a realistic wind speed distribution following the Rayleigh distribution. Which average wind speed would lead to an equivalent average power output as in (a). Hint: The Rayleigh distribution is given by:arrow_forwardCENTRIFUGAL FANS 1. A fan develops 116.84-mm WG static pressure and 21.59-mm velocity head when delivering 317.4 CMM of 30.6 °C air. Static efficiency is 71 %. Find (a) The Static Air Power A. 6.06 kW C. 7 kW B. 6.08 kW D. 7.5 kW (b) The Total Air Power A. 6.8 B. 6.95 kW C. 7.18 kW D. 8.52 kW (c) The Brake Power A. 8.54 bkW C. 9.86 bkW B. 8.56 bkW D. 10.56 bkW (d) The efficiency based on total or dynamic head. A. 69 % B. 84.1 % C. 81.2 % D. 80.7 %arrow_forwardEstimate the annual production of a 12 m diameter horizontal axis wind turbine operating atstandard atmospheric conditions (r = 1.225 kg/m3 ) in an 8 m/s average wind speed regime.arrow_forward
- A 37-cm-diameter centrifugal pump, running at 2140 r/min with water at 20°C, produces the following performance data: Q, m'ls | 0.0 | 0.05 | 0.10 | 0.15 | 0.20 | 0.25 | 0.30 105 104 102 100 95 202 | 228 H, m 85 67 P, kW 100 | 115 135 171 249 (a) Determine the best efficiency point. (b) Plot C, versus Co. (c) If we desire to use this same pump family to deliver 7000 gal/min of kerosene at 20°C at an input power of 400 kW, what pump speed (in r/min) and impeller size (in cm) are needed? What head will be developed?arrow_forwardPROBLEM 1 In an axial flow pump, the rotor has an outer diameter of 75 om and an inner diameter of 40 cm, it rotates at 500 rpm. At the mean blade radius, the inlet blade angle is 12 deg and the outlet blade angle is 15 deg Sketch the corresponding velocity diagrams at inlet and outlet and estimate the following (1) the head the pump will generate, A. 11.2 m B 17 6m C5.4 m D 19 8 m (ii) the discharge or rate of flow in l/s B. 203 s C.407 Us D 609 Vs A 705 Vs (iii) the shaft h.p input required to drive the pump and B 230 hp C:300 hp D 401 hp A 170 hp (V) the specific speed of the pump. B. 65 C.45 D 75 A 80arrow_forwardThe following data pertains to a turbo-jet system flying at 9500 m height with a speed of 800 km/hr and propulsive n355%. Taking the following data: p(density of air at 9500 m height)= 0.17 kg/m', Drag %3D on the plane= 6.1 kN, Calorific value of fuel used !! = 46 MJ/kg. Find out the following: (i) Absolute velocity of the jet, (ii) Mass of air compressed/min, - (iii) Diameter of the jet, (iv) Power output of the turbine unit kW and (v) air-fuel ratio used.arrow_forward
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- A propeller type, horizontal axis wind turbine having following wind characteristics: Speed of the wind 10 m/s at 150 C, The turbine has diameter of 120 m and its operating speed is 40 rpm at maximum efficiency. Calculate (i) the total power density in the wind stream (ii) the maximum obtainable power density assuming wind power coefficient as 40% (iii) total power produced in kW (iv) Maximum thrust and axial thrust. [Ans: 613 W/m2, 2771 kW, 6930 kW, 619.9510 kN, 897 kN] explain the axial thrust part clearly how 897 KN is comingarrow_forwardCalculate the blade length of a wind turbine rotor which produces a maximum power of 4 MW at a wind speed of 48 Km/Hr. Use air density as 1.23 Kg/m³, generator efficiency as 94%, gear box efficiency as 0.76 and power coefficient of blades as 0.33. Answer:arrow_forwardCalculate the blade length of a wind turbine rotor which produces a maximum power of 4.2 kW at a wind speed of 9.92 Km/Hr. Use air density as 1.23 Kg/m?, generator efficiency as 69%, gearbox efficiency as 0.43 and power coefficient of blades as 0.4.arrow_forward
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