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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Textbook Question
Chapter 14, Problem 111P
Prove that the model turbine (Prob. 14-109) and the prototype turbine (Prob. 14-110) operate at homologous points by comparing turbine efficiency and turbine specific speed for both cases.
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PROBLEM 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 80
STEAM WITH ABSOLUTE VELOCITY 300 M/S ENTERS THE
STAGE OF AN IMPULSE TURBINE PROVIDED WITH A
SINGLE ROW WHEEL. THE NOZZLES ARE INCLINED AT 20°
TO THE PLANE OF WHEEL AND THE ROTOR BLADES ARE
EQUIANGULAR. THE ROTOR WITH MEAN DIAMETER 100
CM ROTATES WITH SPEED OF 3000 R.P.M. ESTIMATE THE
POWER DEVELOPED IN THE BLADE IF THE AXIAL THRUST
IN THE BLADES IS 145 N. IT MAY BE ASSUMED THAT DUE
TO FRICTION IN THE BLADE PASSAGES THE KINETIC
ENERGY DUE TO OUTGOING RELATIVE VELOCITY IS ONLY
67% OF THE KINETIC ENERGY DUE TO INCOMING
RELATIVE VELOCITY.
To avoid the bulky tower and impeller and generator inthe HAWT of the chapter-opener photo, we could insteadbuild a number of Darrieus turbines of height 4 m anddiameter 3 m. (a) How many of these would we need tomatch the HAWT’s 100 kW output for 15 m/s wind speedand maximum power? (b) How fast would they rotate?Assume the area swept out by a Darrieus turbine is twothirdsthe height times the diameter.
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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- I need the answer as soon as possiblearrow_forwardFor solution of this problem also sketch velocity triangles and label it. A rotodynamic impulse turbine was used to develop power. In an impulse stage the mean diameter of the blade ring is 900 mm and the speed of rotation is 3500 1.p.m The nozzle angle is 22º and the steam exits from the nozzles with a velocity of 350 m / s. Assuming the blade velocity coefficient as 0.85 and also suppose that the blades are symmetric When the axial thrust on the blades is 150 N. Determine the power developed.arrow_forwardChoose which one is correct with explaination of each pointarrow_forward
- 2. Suppose the pump of Fig. P14-23 is operating at efficient condition. The pipe diameter after the pump is "X" cm and pipe diameter before the pump is "Y" diameter. The friction losses along the pipe are negligible (no need to use Darcy Equation). But there are minor losses in the system. They are as follows; the sharp inlet is 0.50 m of water, each valve has a loss of 2.4 m of water, and each of the three elbows has a loss of 0.90 m of water. The contraction at the exit reduces the diameter by a factor of 0.60 (60% of the pipe diameter(after the pump)), and the loss of the contraction is 0.15 m of water. The volume flow rate is "K" Lpm. Density= 990kg/m. dynamic viscosity=1.002 x103 kg/m-s. Z1-Z2="L". The kinetic energy correction factor is 1. Determine (a) Required Head, (b) Required pump power (water Hp), (c) Reynolds number at the exit. V = 0 Reservoir Pump Given for Problem 2 X Y K L 1.8 148 6arrow_forwardsetup a Bernoulli's equation in head form that can be used to determine the pump power requirement. Which two locations are you selecting to set up the Bernoulli's equation? What are the state (elevation h, pressure P, velocity u) as the two locations?arrow_forwardFind the maximum power developed by the turbine. Data H1= 37 m, H4= 2 1 m, D2=56 cm, D4= 35 cm, V4= 8.5 m/s, P4= 200 kPa, Patm= 100 kPa, 1000 kg/m3. * Lake H, P.O V. h D2 H. Turbine Your answerarrow_forward
- Please help mearrow_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_forwardS Huid Mach RME601.pdf BI Answered: The external and inter X A bartleby.com/questions-and-answers/the-external-and-internal-diameters-of-the-inward-flow-reaction-turbine-60-cm-an E Apps O NPTEL : Mechanica.. Home O NPTEL : Mechanica.. O NPTEL : Mechanica... tcs TCS Recruitment: R... O NPTEL : Mechanica. = bartleby Q Search for textbooks, step-by-step explanations to homework questions,. Engineering / Mechanical Engineering / Q&A Library / The external and internal diameters of the inward flow reaction turbine 60 cm The external and internal diameters of the inward flow reaction Question The external and internal diameters of the inward flow reaction turbine 60 cm and 30 cm, the width of the inlet are 15 cm. The flow velocity through the runner is constant throughout and is equal to 1.5 m/s. Calculate discharge and the width at the outlet if 8% of the circumferential area is occupied by the blade thickness at both inlet and exit. Tagg Expert Answer Eng POn RME601.pdf QA.pdf PDF Type…arrow_forward
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