velocity w, the power output W, the density p, and the viscosity u of the fluid. (a) Determine number of pi terms. (b) Determine all dimensionless pi terms including D, w and p as the repeating variables. 3) . Chapter 8: The discharge Q of a pump is a function of the impeller diameter D, its angular

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
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Fluid Mechanics

. Chapter 8: The discharge Q of a pump is a function of the impeller diameter D, its angular
3)
velocity w, the power output W, the density p, and the viscosity u of the fluid.
(a) Determine number of pi terms.
(b) Determine all dimensionless pi terms including D, w and p as the repeating variables.
The following Table can be used for dimension analysis:
TABLE 8-1
Quantity
Symbol
M-L-T
F-L-T
Area
L
Volume
L'
L
Velocity
LT
LT
Acceleration
LT2
LT
Angular velocity
Force
F
MLT
F
Mass
M
FTL-
Density
ML
FT²L
Specific weight
MLT
FL
Pressure
ML-T2
FL2
Dynamic viscosity
MLT
FTL2
Kinematic viscosity
L'T
L'T
Power
ML?T
FLT
Volumetric flow rate
L'T
Mass flow rate
MT
FTL
Surface tension
MT2
FL
Weight
W
MLT2
F
Torque
ML'T
FL
6.
Transcribed Image Text:. Chapter 8: The discharge Q of a pump is a function of the impeller diameter D, its angular 3) velocity w, the power output W, the density p, and the viscosity u of the fluid. (a) Determine number of pi terms. (b) Determine all dimensionless pi terms including D, w and p as the repeating variables. The following Table can be used for dimension analysis: TABLE 8-1 Quantity Symbol M-L-T F-L-T Area L Volume L' L Velocity LT LT Acceleration LT2 LT Angular velocity Force F MLT F Mass M FTL- Density ML FT²L Specific weight MLT FL Pressure ML-T2 FL2 Dynamic viscosity MLT FTL2 Kinematic viscosity L'T L'T Power ML?T FLT Volumetric flow rate L'T Mass flow rate MT FTL Surface tension MT2 FL Weight W MLT2 F Torque ML'T FL 6.
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