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Affinity Laws - Fluid Flow - Handout, Exercises of Fluid Dynamics

Topics covered in this course include fluid properties, fluid statics, fluid kinematics, control volume analysis, dimensional analysis, internal flows, differential analysis, external flows CFD, compressible flow and turbomachinery. Key words for this lecture are: Affinity Laws, Dimensional Analysis, Pump Parameters, Capacity Coefficient, Head Coefficient, Homologous Law

Typology: Exercises

2012/2013

Uploaded on 10/02/2013

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M E 320 Professor John M. Cimbala Lecture 25
Today, we will:
Continue our discussion about dimensional analysis with pumps
Do an example problem – dimensional analysis with pumps; the affinity laws
Discuss turbines
From previous lecture…dimensional analysis of pump parameters:
(
)
(
)
322 35
function ,Re, and function ,Re,
where
Capacity coefficient Head coefficient Pow
HQ PQ
QH P
CCD CCD
gH bhp
CC C
DD D
εε
ωω ρω
==
== =
V
er coefficient
But for many pumps, effects of Re and roughness are small at high Re, and thus,
() ()
function and function
H
QPQ
CC CC≈≈
pf3
pf4
pf5

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M E 320 Professor John M. Cimbala Lecture 25

Today, we will :

  • • Continue our discussion about dimensional analysis with pumpsDo an example problem – dimensional analysis with pumps; the affinity laws
  • Discuss turbines From previous lecture…dimensional analysis of pump parameters:

3 2 2 3 5

function , Re, and function , Re, where Capacity coefficient Head coefficient Pow

H Q P Q Q H P

C C D C C D

C C gH^ C bhp D D D

= V^  = =

er coefficient But for many pumps, effects of Re and roughness are small at high Re, and thus,

C H ≈ function ( CQ ) and C P ≈ function( CQ)