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 137P
To determine
The correct option for the net head produced by the centrifugal blower in
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A centrifugal blower rotates at 1400 rpm. Air enters the impeller normal to the blades (?1 = 0°) and exits at an angle of 25° (?2 = 25°). The inlet radius is r1 = 6.5 cm, and the inlet blade width b1 = 8.5 cm. The outlet radius and blade width are r2 = 12 cm and b2 = 4.5 cm, respectively. The volume flow rate is 0.22 m3 /s. What is the net head produced by this blower in meters of air? (a) 12.3 m (b) 3.9 m (c) 8.8 m (d) 5.4 m (e) 16.4 m
A pump impeller rotating at 1400 rpm has an outside radius of 21 cm, the vane outlet angle B2 is 158* and
the radial velocity at the outlet Cr2 is 4 m/s. Assuming radial flow at inlet, draw the theoretical outlet
velocity diagram and calculate the various velocities and angles.
Assuming that the mechanical efficiency nmech = 0.95, the hydraulic
(or manometric) efficiency nman = 0.8, find the required break
horsepower to drive the pump.
22.1
34.8
16.8
78.9
52.4
Water (density 1000=kg/m3) enters radially through a centrifugal pump whose impeller diameter has a diameter of 30 cm and breadth of 15 cm, the corresponding dimentions at the outer periphery are 60cm and 7.5 cm respectively. the blate angle at the outlet is 30 degree and the discharge is 225 lit/sec. the rotational speed of the impeller is 1200 rpm and the pump delivers water at a height of 115 m. if the overall and volumetric officiencies are 65% and 95% respectively, calcuate the theoretical head developed, mechanical efficiency and vane and blade angles at the inlet.
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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- A centrifugal pump rotates at n. = 750 rpm. Water enters the impeller normal to the blades (?1 = 0°) and exits at an angle of 35° from radial (?2 = 35°). The inlet radius is r1 = 12.0 cm, at which the blade width b1 = 18.0 cm. The outlet radius is r2 = 24.0 cm, at which the blade width b2 = 16.2 cm. The volume flow rate is 0.573 m3 /s. Assuming 100 percent efficiency, calculate the net head produced by this pump in cm of water column height. Also calculate the required brake horsepower in Warrow_forwardThe mechanism shown in figure is used to investigate the power produced by Pelton wheel turbine. Given: wheel diameter D=7.5 cm, Nozzle diameter d;=1 cm, flow rate =1.5 litter/s, speed Peltón factor 0= 0.4, nozzle velocity coefficient Cv=0.95 Brake shoe () Spring wheel and turbine D/2 efficiency=80%. Find the force F required for stopping the wheel. F15 cmarrow_forwardA centrifugal pump is used to pump a liquid with the properties given below. Liquid is pumped from a storage tank at 95 kPa (a) to a discharge tank at 300 kPa (a). The system configuration is given in the table below. Table 1: system configuration Suction Discharge 4 50 Length (m) Diameter (m) 0.07 0.055 12 90° bends (L/D-35) 5 T piece (L/D=7) Gate valve (L/D-35) 1 1 1 2 Static height (m) 25 Liquid density = 1100 kg.m³ Viscosity = 1.5 x 10-³ Pa.s Vapour pressure of the liquid = 25 kPa (a) Material of construction of pipe is commercial steel, ε = 000045 m Table 2: Pump data 0 10 20 30 40 Flowrate (m³.hr¹) Head (m) 55 56 51 36 6 NPSH (m) 0 2 6 11 19 22 3.1. Graphically determine the optimal operating point of the pump in the above system using the pump data in Table 2. 3.2. Determine the NPSH of the system and determine whether the pump will cavitate when used in the above system.arrow_forward
- 1. 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_forward1. A centrifugal pump with 30 cm impeller delivers 30 l/s against a head of 24 m when running at 1750 rpm. What will be the delivery of a homologous pump of 15 cm impeller diam eter assuming same efficiencies and speed? 2. A centrifugal pump with 2.3 diameter impeller running at 327 rpm delivers 7.9 m3/s of water. The head developed is 72.8 m. The width of the impeller at outlet is 0.22 m. If the overall efficiency is 91.7% determine the power to drive the pump.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_forward
- A pelton wheel is supplied with water under a head of 100 m at the rate 1000 litres/s. The bucket deflects the jet through an angle of 160°. The mean speed of bucket is 20 m/s. Find : Mass flow rate of water (i) (ii) Velocity of jet (iii) Power output H. V2 V2 160° C $ = 20° A V1 =Vw1arrow_forwardA forced draft centrifugal fan draws air at 1.32 cubic meter/sec towards a combustion chamber of a steam generator. The static pressures are 15mm. water below atmospheric at suction and 10mm. water above atmospheric at the discharge. The inlet duct is 30cm in diameter and the discharge duct is 27cm in diameter. The fan mechanical efficiency is 70%. The air is measured at 25 degrees Celsius and 760mmHg. Determine: a. the Air Power in kW 0.664 0.464 0.546 b. the Brake Power in kW 0.546 0.464 0.664 c. the static efficiency 50.00 48.77 52.03arrow_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
- Water from a large reservoir drives a turbine, and exits as a free jet from a pipe of diameter D. The jet is deflected by a vane, and the horizontal force required to hold the vane is F directed to the left. Given: h = 40m, D = 0.15m, 0 = 30°, F, = 1500N, and Pw = 1000 kg/m³. Assume velocity magnitude at exit of vane is equal to that at entrance. If all losses are negligible, calculate: (a) The power developed by the turbine in kW. (b) The pressure difference across the turbine, and express it as a head (m). h Figure 1: Problem 2, A sketch (not-to-scale) Equations used must be labeled appropriately: conservation of mass, principle of linear momentum, principle of angular momentum, or first law of thermodynamics. Control volumes must be drown and clearly defined. List all assumptions.arrow_forwardA pump draws water from an 8 in. suction pipe and discharges through a 6 in. pipe in which the velocity is 12 fps. The pressure is –5 psi at point 1 in the suction. The 6 in. pipe discharges horizontally into the air. The power delivered to the pump is 30hp whose efficiency is 70. Determine: a. the water horsepower 21 18 15 b. the total dynamic head in feet 94.316 78.564 67.369 c. To what height h in feet above the suction gage can the water be raised? 81.716 65.498 54.303 please answer immediately thankyouarrow_forwardQ6. A single acting reciprocating pump has a plunger diameter of 10 cm and the stroke of 20 cm. The centre of the pump is 4'm above the water level in the sump and 14 m below the water level in the upper tank. The diameter and the length of suction pipe are 4 cm and 6 m respectively, while that of the delivery are 3 cm and 18 m. Find the maximum speed at which the pump may be run without separation, if the separation occurs at 7.85 N/cm² below the atmospheric pressure i.e. 10.3 m of water.arrow_forward
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