Water is pumped at the rate of 1400 gpm through a centrifugal pump operating at a speed of 1750 rpm. The impeller has a uniform blade height, b, of 2 in. with r1=1.9 in. and r2=7.0 in., and the exit blade angle β2 is 23°. Assume ideal flow conditions and that the tangential velocity component, Vθ1, of the water is entering the blade is zero. Determine (a) the tangential velocity component, Vθ2, at the exit, (b) the ideal head rise, hi , and (c) the power, W˙shaft, transferred to the fluid

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
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Water is pumped at the rate of 1400 gpm through a centrifugal pump operating at a speed of 1750 rpm.
The impeller has a uniform blade height, b, of 2 in. with r1=1.9 in. and r2=7.0 in., and the exit blade angle
β2 is 23°. Assume ideal flow conditions and that the tangential velocity component, Vθ1, of the water is
entering the blade is zero.
Determine (a) the tangential velocity component, Vθ2, at the exit, (b) the ideal head rise, hi
, and (c) the power,
W˙shaft, transferred to the fluid 

Water is pumped at the rate of 1400 gpm through a centrifugal pump operating at a speed of 1750 rpm.
The impeller has a uniform blade height, b, of 2 in. with r₁=1.9 in. and r₂=7.0 in., and the exit blade angle
B₂ is 23°. Assume ideal flow conditions and that the tangential velocity component, Ve1, of the water is
entering the blade is zero.
Determine (a) the tangential velocity component, V2, at the exit, (b) the ideal head rise, h,, and (c) the power,
W'. shaft, transferred to the fluid
-) cot B₂ = U₂ - Voz > Vr₂ = U₂ - Vrz Coł B₂
Vrz
U₂=√₂ w
= 7
7/2
Vr₂
=
1750
60
2πr2b2
=
2π = 107 80/S
1400
7.48 * 60 * 2 * * (Z) (²)
= 5.118815
(0
02
Transcribed Image Text:Water is pumped at the rate of 1400 gpm through a centrifugal pump operating at a speed of 1750 rpm. The impeller has a uniform blade height, b, of 2 in. with r₁=1.9 in. and r₂=7.0 in., and the exit blade angle B₂ is 23°. Assume ideal flow conditions and that the tangential velocity component, Ve1, of the water is entering the blade is zero. Determine (a) the tangential velocity component, V2, at the exit, (b) the ideal head rise, h,, and (c) the power, W'. shaft, transferred to the fluid -) cot B₂ = U₂ - Voz > Vr₂ = U₂ - Vrz Coł B₂ Vrz U₂=√₂ w = 7 7/2 Vr₂ = 1750 60 2πr2b2 = 2π = 107 80/S 1400 7.48 * 60 * 2 * * (Z) (²) = 5.118815 (0 02
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