A centrifugal pump rotates at 1500 revolutions per minute to transport water with a bulk velocity of 1 m/s through a circular pipeline which has an internal diameter of 300 mm. The total head rise delivered by the pump is 25 m, and the total hydraulic head loss through the pump is 5 m. The impeller has an inner diameter of 120 mm, and the width of the inlet to the impeller is 60 mm. The circumferential area of the impeller inlet and outlet is reduced by 12% due to the effect of vane thickness, and the radial velocity through the impeller is constant. The vane outlet angle is 60° to the radial direction. The volumetric efficiency is 96%, the mechanical efficiency is 90%, and the reduction in theoretical head due to relative circulation is 29%. Assume no swirl at the inlet to the impeller. a) Calculate the radial velocity through the impeller. Choose from one of the following: O 3.53 m/s O 3.7 m/s O 1m/s O None of the answers listed b) Calculate the blade-tip speed, uz at the impeller outlet. c) Calculate the outer diameter of the impeller. Provide your answer in mm.

A centrifugal pump rotates at 1500 revolutions per minute to transport water with a bulk velocity of 1 m/s through a circular pipeline which has an internal diameter of 300 mm. The total head rise delivered by the pump is 25 m, and the total hydraulic head loss through the pump is 5 m. The impeller has an inner diameter of 120 mm, and the width of the inlet to the impeller is 60 mm. The circumferential area of the impeller inlet and outlet is reduced by 12% due to the effect of vane thickness, and the radial velocity through the impeller is constant. The vane outlet angle is 60° to the radial direction. The volumetric efficiency is 96%, the mechanical efficiency is 90%, and the reduction in theoretical head due to relative circulation is 29%. Assume no swirl at the inlet to the impeller. a) Calculate the radial velocity through the impeller. Choose from one of the following: O 3.53 m/s O 3.7 m/s O 1m/s O None of the answers listed b) Calculate the blade-tip speed, uz at the impeller outlet. c) Calculate the outer diameter of the impeller. Provide your answer in mm.

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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Question

A centrifugal pump rotates at 1500 revolutions per minute to transport water with a bulk velocity of 1 m/s through a circular pipeline which has an
internal diameter of 300 mm. The total head rise delivered by the pump is 25 m, and the total hydraulic head loss through the pump is 5 m. The impeller
has an inner diameter of 120 mm, and the width of the inlet to the impeller is 60 mm. The circumferential area of the impeller inlet and outlet is reduced
by 12% due to the effect of vane thickness, and the radial velocity through the impeller is constant. The vane outlet angle is 60° to the radial direction.
The volumetric efficiency is 96%, the mechanical efficiency is 90%, and the reduction in theoretical head due to relative circulation is 29%. Assume no
swirl at the inlet to the impeller.
a)
Calculate the radial velocity through the impeller. Choose from one of the following:
O 3.53 m/s
O 3.7 m/s
O 1m/s
O None of the answers listed
b)
Calculate the blade-tip speed, uz at the impeller outlet.
c)
Calculate the outer diameter of the impeller. Provide your answer in mm.

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