Problem 2: A centrifugal pump with an overall efficiency of 0.56 rotates at 1650 rpm. The flow is purely radial at the inlet of the rotor. The pump has the following characteristics: Flow rate Inlet diameter Outlet diameter Head Width at the inlet Width at the outlet Leakage Mechanical loss Blade angle at the outlet The water density Atmospheric pressure Q-72 L/s DI - 90 mm D2 - 280 mm H= 25m bl -20 mm b2 = 18 mm q -2 L/s Pm = 1.41 kW B: - 35 p = 998 kg/m³ 101 kPa 1) Draw the velocity triangles at the inlet and the exit of the impeller. 2) Determine the magnitude of the absolute velocity of the flow (V) and the impeller velocity (U) at the inlet and outlet 3) Determine the blade angle at the inlet. 4) Determine the hydraulic, mechanical and volumetric efficiencies. 5) Determine the minimum number of blades required for the slip to not exceed 0.9. 6) Determine the static pressure difference (P.-Pi) through the impeller by using Bernoulli equation. 7) Determine the available NPSH if the pump is placed 2m above the free surface of the tank and the vapor pressure is Pv = 2.43 Kpa.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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Problem 2:
A centrifugal pump with an overall efficiency of 0.56 rotates at 1650 rpm. The flow is purely radial
at the inlet of the rotor. The pump has the following characteristics:
|Q-72 L/s
DI = 90 mm
D2 = 280 mm
Flow rate
Inlet diameter
OUutlet diameter
Нead
Width at the inlet
Width at the outlet
Leakage
Mechanical loss
Blade angle at the outlet
The water density
Atmospheric pressure
Н- 25m
bl -20 mm
b2 = 18 mm
9 =2 L/s
Pm = 1.41 kW
B: = 35
p = 998 kg/m³
101 kPa
1) Draw the velocity triangles at the inlet and the exit of the impeller.
2) Determine the magnitude of the absolute velocity of the flow (V) and the impeller velocity
(U) at the inlet and outlet
3) Determine the blade angle at the inlet.
4) Determine the hydraulic, mechanical and volumetric efficiencies.
5) Determine the minimum number of blades required for the slip to not exceed 0.9.
6) Determine the static pressure difference (P:-P1) through the impeller by using Bernoulli
equation.
7) Determine the available NPSH if the pump is placed 2m above the free surface of the tank
and the vapor pressure is Pv = 2.43 Kpa.
Transcribed Image Text:Problem 2: A centrifugal pump with an overall efficiency of 0.56 rotates at 1650 rpm. The flow is purely radial at the inlet of the rotor. The pump has the following characteristics: |Q-72 L/s DI = 90 mm D2 = 280 mm Flow rate Inlet diameter OUutlet diameter Нead Width at the inlet Width at the outlet Leakage Mechanical loss Blade angle at the outlet The water density Atmospheric pressure Н- 25m bl -20 mm b2 = 18 mm 9 =2 L/s Pm = 1.41 kW B: = 35 p = 998 kg/m³ 101 kPa 1) Draw the velocity triangles at the inlet and the exit of the impeller. 2) Determine the magnitude of the absolute velocity of the flow (V) and the impeller velocity (U) at the inlet and outlet 3) Determine the blade angle at the inlet. 4) Determine the hydraulic, mechanical and volumetric efficiencies. 5) Determine the minimum number of blades required for the slip to not exceed 0.9. 6) Determine the static pressure difference (P:-P1) through the impeller by using Bernoulli equation. 7) Determine the available NPSH if the pump is placed 2m above the free surface of the tank and the vapor pressure is Pv = 2.43 Kpa.
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