3. Describe, with the aid of sketches, the relationship between geometry and specific speedfor pumps.a. A model centrifugal pump with an impeller diameter of 20 cm is designed torotate at 1450 rpm and to deliver 20 dm3/s of fresh water against a pressure of150 kPa. Determine the specific speed and diameter of the pump. How muchpower is needed to drive the pump if its efficiency is 82%?b. A prototype pump with an impeller diameter of 0.8 m is to be tested at 725 rpmunder dynamically similar conditions as the model. Determine the head of waterthe pump must overcome, the volume flow rate, and the power needed to drivethe pump

Answered: Image /qna-images/answer/77108ae6-cd0e-44b3-9e0f-82858598c1a3.jpg

Answered: 3. Describe, with the aid of sketches,…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Pumps: A centrifugal pump having 4 stages in parallel, delivers 18 kiloliters/min of liquid against a head of 25 m. The diameter of the impellers being 24 cm and the speed of 1800 rpm. A pump is to be made up with a number of stages in series of similar construction to that of the first pump to run at 1250 rpm and to deliver 15 kiloliters/min against a totalhead of 250 m. Find the diameter of the impellers and the number of stages required in this case. Answer: D = 46.63 cm, n = 6 stages
EX1: Given are the following data for a commercial centrifugal water pump: r1 =10 cm, rz = 17.5 em, B1 =30°, B2 =20°, speed =1440 r/min. Estimate (a) the design point discharge, (b) the water horsepower, and (c) the head if bs = bz = 4.4 cm.(Hint. design point discharge, i.e €:=90°)
EX1: Given are the following data for a commercial centrifugal water pump: r1 =10 cm, r2 = 17.5 cm, By =30°, B2 =20°, speed =1440 r/min. Estimate (a) the design point discharge, (b) the water horsepower, and (c) the head if by = b2 = 4.4 cm.(Hint. design point discharge, i.e 11=90°)
a centrifuagal pump is to be built that delivers 1000 gpm agains ahead of 120 ft operates at 1780 rpm. a model pump operating at the same effiviciency as the larger pump delivers 120 gpm against ahead of 30 ft . determine the rotation rate for the smaller , homologus pump . Using ONLY AFFINITY LAWS thanks
To p. edict the performance of a loge centrifugal pump, its model, having the following specification, was made: P = 24 IIP H=8 m N=925 rpm Diameter of model pump impeller is 9 times smaller than that of the prototype. The prototype pump has to work against a head of 30 m. Find its working speed and HP required to drive it. Determine also the rate of flow of both the pumps. (35.2 m'/ sec, 134 rpm, 14,100 HP)
A manufacturer tested one of its pump models at 2133.5 rpm and derived the characteristics as shown in the figure on the left. Being satisfied with the model, the manufacturer decided to make a prototype that is 4 times larger than the model for one of its clients. The prototype pump is going to be operated at a shaft speed of 100 rpm to deliver 6000 GPM of water. What will most approximately be the pump efficiency of the prototype when it is on duty? Head, m; power, kW oooo 250 200 150 100 O 62% O 22% O 42% 50 O 82% 0 Efficiency 0.05 Head (AH), m N=2133.5 rpm n = 35.6 rps D = 37.1 cm 0.10 0.15 Discharge, m³/s Power input, kW 0.20 0.25 100 80 60 40 20 Efficiency, percent 5 4 CH 3 2 H 1 0 0 Efficiency, n 0.04 C 0.08 Co CH 0.12 1.00 0.75 0.50 0.25 0 0.16 Cp and efficiency
A single stage centrifugal pump has an impeller of 250 mm diameter which rotates at 1,800 rpm and lifts 60 lit/sec to 25 m with an efficiency of 70%. Obtain the number of stages and diameter of each impeller of a similar multi-stage pump to lift 75 lit/sec to 175 m at 1,500 rpm. (8 stages ; 280 mm dia)
4. A centrifugal pump delivers water to a height of 22 metres at a speed of 800 r.p.m. The velocity of flow is constant at a speed of 2-0 m/s and the outlet vane anglc is 45°. If the pump discharges 225 litres of water per second, find the diameter of the impeller and width of the impcller at oudet. (Ans. 375 mm: 95 mm)
Using the performance curve of pump A given in Example VIc.3.2 (41.5” and 710 rpm) and find: a) total dynamic head of a similar pump (pump B), at peak efficiency, having a diameter of 35 inches. Assume that both pumps A and B are operating at the same speed. b) pump head if pump B is now operating at 1170 rpm. [Ans.: a) H = 192 ft and b) H = 521.5 ft].
You and your workmate are choosing pumps for your design. You've already decided which centrifugal pump you will use. The next thing you would think about this time would be the shape of it's impeller blades. The impeller in your design would have a revolution of 565 rpm, will have a volume flow rate of 11.7 gals per min and will (discharge) head of 2222 cm. Your coworker said that axial flow pump is your choice. Would you agree? Why or why not? Prove it.
3. A centrifugal pump has d1 = 7 in., d2 = 13 in., b1 = 4 in., b2 = 3 in., 1 = 25, 2 = 40 and rotates at 1160 rev/min. If the fluid is gasoline at 20C and the flow enters the blades radially, Estimate the theoretical (a) flow rate, in gpm; (b) the water horsepower; and (c) the head in ft. b. flow rate Answer : _______________ gpmc. water horsepower Answer : _______________ HPd. head Answer : _______________ ft
P (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, 0 244 372 470

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