2020 ALL-003 Hydraulics of Pumped Systems (20-05991)

33
Sidney Innerebner, PhD, PE, CWP Indigo Water Group Disclaimers 2 Many of the images and videos that we use in our training materials were collected from the internet over the span of many years. We have made every effort to reference the original source. When possible, we’ve contacted webmasters for permission to use these materials. If you are the owner of an image or video and don’t want us to use it, please let us know and we’ll remove it from our training materials immediately. Indigo Water Group, LLC has made attempts to verify the information provided in this web-based training against respected reference materials including Manual of Practice 11 by Water Environment Federation and the Sacramento Manuals. Neither the Author nor the Publisher, Indigo Water Group, assumes any responsibility for errors, omissions, or contrary interpretation of the subject matter herein. A minimum passing score of 70% is now required for each quiz in our on-line training classes. You must pass each quiz to receive a training unit certificate. If you don’t pass a quiz, the class will return to the slide following the previous quiz. You’ll be able to move freely through the slides to view material you might have missed before retaking the quiz. Speaker Info. Marker Tools Outline & Notes Click on each of the tabs along the top bar to access learning resources. Resources include the course handout and useful links. Resources Call 303 03- 3 - 489 89- 9 -9226 for technical assistance with this course.

Transcript of 2020 ALL-003 Hydraulics of Pumped Systems (20-05991)

Page 1: 2020 ALL-003 Hydraulics of Pumped Systems (20-05991)

Sidn

ey In

nere

bner

, PhD

, PE,

CW

PIn

digo

Wat

er G

roup

Disc

laim

ers

2

Man

y of

the

imag

es a

nd v

ideo

s th

at w

e us

e in

our

trai

ning

m

ater

ials

wer

e co

llect

ed fr

om th

e in

tern

et o

ver t

he s

pan

of m

any

year

s. W

e ha

ve m

ade

ever

y ef

fort

to re

fere

nce

the

orig

inal

so

urce

. W

hen

poss

ible

, we’

ve c

onta

cted

web

mas

ters

for

perm

issi

on to

use

thes

e m

ater

ials

. If

you

are

the

owne

r of a

n im

age

or v

ideo

and

don

’t w

ant u

s to

use

it, p

leas

e le

t us

know

and

w

e’ll

rem

ove

it fr

om o

ur tr

aini

ng m

ater

ials

imm

edia

tely

.

Indi

go W

ater

Gro

up, L

LC h

as m

ade

atte

mpt

s to

veri

fy th

e in

form

atio

n pr

ovid

ed in

this

web

-bas

ed tr

aini

ng a

gain

st re

spec

ted

refe

renc

e m

ater

ials

incl

udin

g M

anua

l of P

ract

ice

11 by

Wat

er

Envi

ronm

ent F

eder

atio

n an

d th

e Sa

cram

ento

Man

uals

. N

eith

er th

e A

utho

r nor

the

Publ

ishe

r, In

digo

Wat

er G

roup

, ass

umes

any

re

spon

sibi

lity

for e

rror

s, o

mis

sion

s, o

r con

trar

y in

terp

reta

tion

of th

e su

bjec

t mat

ter h

erei

n.

A m

inim

um p

assi

ng sc

ore

of 7

0% is

now

requ

ired

for

each

qui

z in

our

on-

line

trai

ning

cla

sses

.

You

mus

t pas

s eac

h qu

iz to

rece

ive

a tr

aini

ng u

nit

cert

ifica

te.

If y

ou d

on’t

pass

a q

uiz,

the

clas

s will

retu

rn to

the

slid

e fo

llow

ing

the

prev

ious

qui

z. Y

ou’ll

be

able

to m

ove

free

ly th

roug

h th

e sl

ides

to v

iew

mat

eria

l you

mig

ht

have

mis

sed

befo

re re

taki

ng th

e qu

iz.

Spea

ker

Info

.M

arke

rTo

ols

Out

line

&N

otes

Clic

k on

eac

h of

the

tabs

alo

ng th

e to

p ba

r to

acce

ss le

arni

ng re

sour

ces.

Reso

urce

s in

clud

e th

e co

urse

ha

ndou

t and

use

ful l

inks

.

Res

ourc

es

Cal

l 30303

-3-48

989-9-92

26 fo

r tec

hnic

al a

ssis

tanc

e w

ith th

is c

ours

e.

Page 2: 2020 ALL-003 Hydraulics of Pumped Systems (20-05991)

Agen

daH

ydra

ulic

Con

side

rati

ons o

f the

Pum

p Pi

ping

Sys

tem

yW

ork,

Hor

sepo

wer

, and

Ene

rgy

pC

ost t

o Ru

n a

Pum

ppPe

riph

eral

Vel

ocit

y, D

iam

eter

, and

Spe

edp

yPu

mp

Aff

init

y La

ws

pSy

stem

y

mmH

ead

Curv

esy Pu

mp

Perf

orm

ance

Cur

ves

pD

iscu

ssio

n

Pum

p Ha

ve T

wo

Ope

ratin

g Co

nditi

ons

Stat

ic a

nd D

ynam

icy

Stat

ic m

eans

the

pum

p is

turn

ed o

ffp

pD

ynam

ic m

eans

the

pum

p is

runn

ing

STAT

IC

HEA

D

Stat

ic Co

nditi

ons

The

elev

atio

n di

ffere

nce

betw

een

two

wat

er s

urfa

ces

–pu

mpi

ng fr

om a

nd to

.

Page 3: 2020 ALL-003 Hydraulics of Pumped Systems (20-05991)

Onl

y Ve

rtica

l Dist

ance

Mat

ters

Stat

ic h

ead

is th

e SA

ME

for b

oth

pum

ps.

Suct

ion

Head

–Po

sitiv

e He

ad a

t th

e Pu

mp

Inta

ke (i

mpe

ller e

ye)

Pum

p in

take

lin

e is

bel

ow

the

wat

er le

vel

Sour

ce:

ACR

P Tr

aine

r Kit

Suct

ion

Lift –

Nega

tive

Head

at

the

Pum

p In

take

(im

pelle

r eye

)

Pum

p in

take

lin

e is

abo

ve

the

wat

er le

vel

Sour

ce:

ACR

P Tr

aine

r Kit

Theo

retic

ally,

wha

t is

the

max

imum

suc

tion

lift f

or a

pum

p op

erat

ing

at s

ea le

vel?

Why

?

Page 4: 2020 ALL-003 Hydraulics of Pumped Systems (20-05991)

Max

imum

Suc

tion

Lift

Atm

osph

eric

pre

ssur

e at

sea

leve

l is

14.7

psi

ap

pC

onve

rt to

feet

of h

ead

14.7

psi

0.43

3 ps

i1

foot

H2O

= 34

feet

Theo

reti

cal m

axim

um su

ctio

n lif

t is 3

4 fe

et fo

r WAT

ER

Max

imum

Suc

tion

Lift

Atm

osph

eric

pre

ssur

e at

sea

leve

l is

14.7

psi

ap

pC

onve

rt to

feet

of h

ead

Theo

reti

cal m

axim

um su

ctio

n lif

t is 3

4 fe

et fo

r WAT

ER

Will

it in

crea

se o

r dec

reas

e w

hen

pum

ping

som

ethi

ng

Will

it in

crea

se o

r dec

reas

e w

hen

pum

W light

er th

an w

ater

…..

Say

gaso

line?

Quiz

Click

the Q

uizbu

tton t

o ed

it th

is ob

ject

Dyna

mic

Cond

ition

sTh

e pu

mp

is O

Np

pTh

ings

get

mor

e co

mpl

icat

edg

gp

Stat

ic h

ead

is g

ravi

ty w

orki

ng a

gain

st th

e pu

mp

Mor

e w

ork

to b

e do

ne!

Tota

l Dyn

amic

Hea

d =

Stat

ic +

Fri

ctio

n +

Velo

city

Page 5: 2020 ALL-003 Hydraulics of Pumped Systems (20-05991)

Head

Loss

Def

ined

Loss

of e

nerg

y du

e to

fric

tion

of p

ipe

Loss

of e

nerg

y du

e to

fric

tion

of p

ipe

L mat

eria

ls, v

alve

s, fi

ttin

gs, e

ntra

nce

mat

eria

ls, v

alve

s, fi

ttin

gs, e

and

exit

from

con

tain

ers

Loss

es h

appe

n w

hen

wat

er c

hang

es

Loss

es h

apL di

rect

ion

Lost

as asas

heat

Expr

esse

d as

feet

of h

ead

pN

ot re

ally

feet

of h

ead,

it’s

the

Not

real

ly fe

N equi

vale

ntee

t of h

ead,

iy

fentnt

ener

gy lo

ss

Phot

o So

urce

: By

Joh

ann

Jarit

z(O

wn

wor

k) [G

FDL

(http

://w

ww

.gnu

.org

/cop

ylef

t/fdl

.htm

l), C

C-B

Y-SA

-3.0

(http

://cr

eativ

ecom

mon

s.or

g/lic

ense

s/by

-sa/

3.0/

), C

C

BY-S

A 2.

5-2.

0-1.

0 (h

ttp://

crea

tivec

omm

ons.

org/

licen

ses/

by-s

a/2.

5-2.

0-1.

0), G

FDL

(http

://w

ww

.gnu

.org

/cop

ylef

t/fdl

.htm

l) or

CC

BY-

SA 3

.0

(http

://cr

eativ

ecom

mon

s.or

g/lic

ense

s/by

-sa/

3.0)

], vi

a W

ikim

edia

Com

mon

s

Tota

l Dyn

amic

Head

Stat

ic H

ead d

––Th

e di

ffere

nce

in v

ertic

al h

eigh

t in

wat

er

Stat

ic H

ead

Sd

The

diffe

renc

e in

ver

tica

lTh

e di

ffere

nce

in v

erti

cT

leve

ls, p

umpi

ng fr

om to

pum

ping

to.

pp

gVe

loci

ty H

ead

gdd

–p

pg

g –Th

e am

ount

of e

nerg

y re

quir

ed to

Ve

loci

ty H

ead

Vd

The

amou

nt o

f ene

rT

mov

e th

e w

ater

at a

giv

en v

eloc

ity.

Hea

d Lo

ssM

ajor

Los

ses

jM

inor

Los

ses

Ever

ythi

ng th

e pu

mp

mus

t wor

k to

ove

rcom

e.

18

STAT

IC

HEA

D

Stat

ic Co

nditi

ons

The

elev

atio

n di

ffere

nce

betw

een

two

wat

er s

urfa

ces

–pu

mpi

ng fr

om a

nd to

.

Velo

city

Head

V =

the

velo

city

of t

he b

ody

in ft

/sec

yy

G =

the

acce

lera

tion

due

to g

ravi

ty @

32.

2 ft

/secc

2g

H =

the

dist

ance

the

body

falls

Dir

ectl

yVe

rsus

Inve

rsel

yR

elat

ed

or

Page 6: 2020 ALL-003 Hydraulics of Pumped Systems (20-05991)

Maj

or v

ersu

s Min

or Lo

sses

Maj

or L

osse

s

Fric

tion

loss

es in

pip

ep

pC

alcu

late

d w

ith

Dar

cycyycy-

Cal

cula

ted

wC W

eisb

ach

wit

h D

arc

edw

hhor

Haz

eny

Dar

ccyenen

-W

eisb

ach

Will

iam

sor

Haz

eo

enchh

om

sm

ssequ

atio

ns

Rec

orde

d by

Indi

go W

ater

Gro

up a

t LAC

SD

Maj

or v

ersu

s Min

or Lo

sses

Min

or L

osse

sEn

tran

ce to

ves

sel

Exit

from

ves

sel

Valv

esFi

ttin

gs

Sour

ce: I

ndig

o W

ater

Gro

up

Befo

re w

e go

any

furt

her…

.

Engi

neer

s ver

sus

Ope

rato

rs

Maj

or Lo

sses

by

Darc

y-W

eisb

ach

Equa

tion

L =

Leng

th o

f Pip

e in

Fee

tg

pD

= In

side

Dia

met

er o

f Pip

e in

Fee

tp

v =

Velo

city

in ft

/sec

ond

yg

= A

ccel

erat

ion

of G

ravi

ty (3

2.2

ft/s

ecc2 c2 )

gg F =

Fric

tion

Fac

tor

Dir

ectl

yVe

rsus

Inve

rsel

yR

elat

ed

Page 7: 2020 ALL-003 Hydraulics of Pumped Systems (20-05991)

Maj

or Lo

sses

by

Haze

n-W

illia

ms E

quat

ion

Whe

re e HH

fHHHH

f=

Hea

dlos

s in

Feet

et

per

100

feet

of p

ipe

f

Q =

Flo

w in

gpm

Qgp

Q D =

Dia

met

er o

f Pip

e in

Inch

esp

C =

Fri

ctio

n Fa

ctor

(com

mon

ly 6

0 to

160)

Haze

n W

illia

ms C

Fac

tors

Pip

e M

ater

ial

Low

Hig

hA

sbes

tos-

cem

ent

140

140

Cas

t iro

n10

014

0C

emen

t-M

orta

r Lin

edD

ucti

le Ir

on P

ipe

140

140

Con

cret

e10

014

0C

oppe

r13

014

0St

eel

90110

Gal

vani

zed

iron

120

120

Poly

ethy

lene

(PE)

140

140

Poly

viny

l chl

orid

e (P

VC)

130

130

Fibe

r-re

info

rced

pla

stic

(FRP

)15

015

0So

urce

: htt

p://

en.w

ikip

edia

.org

/wik

i/H

azen

%E2

%80

%93

Will

iam

s_eq

uati

on

Let’s

Pra

ctice

!H

azenen

-n-W

illia

ms

is ty

pica

lly u

sed

for d

esig

nyp

Find

Hea

dlos

s giv

eng

Leng

th o

f 150

0 fe

etg

5D

iam

eter

of 1

5 in

ches

600

gpm

gpC

fact

or o

f 100

Not

e: H

fis

per 1

00 fe

et o

f pip

e.

Page 8: 2020 ALL-003 Hydraulics of Pumped Systems (20-05991)

Calcu

latin

g M

inor

Loss

esM

etho

d 1:

Cal

cula

te th

e K

fact

or fo

r the

fitt

ing

Tabl

es in

hyd

raul

ic te

xts

yM

anuf

actu

rer p

rovi

ded

data

Met

hod

2: E

quiv

alen

t len

gth

tabl

esq

gA

dd e

quiv

alen

t len

gths

to e

ithe

r Dar

cycy-yyyy-W

eisb

ach

or th

e A

dd e

quA H

azeneq

uenen

-iv

alen

t len

gths

to e

ituiqu nn-W

illia

ms e

quat

ions

Dir

ectl

yVe

rsus

Inve

rsel

yR

elat

ed

Sour

ce:

http

://w

ww

.wes

tern

dyna

mic

s.co

m/D

ownl

oad/

fric

loss

fittin

gs.p

df

Tota

l Dyn

amic

Head

Stat

ic H

ead d

––Th

e di

ffere

nce

in v

ertic

al h

eigh

t in

wat

er

Stat

ic H

ead

Sd

The

diffe

renc

e in

ver

tica

lTh

e di

ffere

nce

in v

ertic

Tle

vels

, pum

ping

from

to p

umpi

ng to

.p

pH

ead

Loss

Maj

or L

osse

sj

Min

or L

osse

sVe

loci

ty H

ead dd

––Th

e am

ount

of e

nerg

y re

quir

ed to

Ve

loci

ty H

ead

Vd

The

amou

nt o

f ene

rT

mov

e th

e w

ater

at a

giv

en v

eloc

ity.

Ever

ythi

ng th

e pu

mp

mus

t wor

k to

ove

rcom

e.

31

Putti

ng it

all

toge

ther

….

10 fe

et o

f 6” p

ipe

Static head = 80 ft

Find

vel

ocity

Find

vel

ocity

hea

dFi

nd m

ajor

loss

esFi

nd m

inor

loss

esA

dd ‘e

m u

p

Page 9: 2020 ALL-003 Hydraulics of Pumped Systems (20-05991)

Equa

tions

Nee

ded

If w

e ha

d K

tabl

es, w

e w

ould

als

o lo

ok u

p lo

sses

for e

lbow

s,

entr

ance

, and

exi

t lo

sses

.

Find

Vel

ocity

Firs

t, co

nver

t flo

w in

gpm

to fp

s

200

gallo

nsm

inut

e1

min

ute

60 s

econ

ds7.

48 g

allo

ns1

cf=

0.44

6 cf

s

Find

the

Area

of t

he P

ipe

Area

= (0

.785

)(dia

met

er)2

Area

= (0

.785

)(0.3

33 ft

)(0.3

33 ft

)Ar

ea =

0.0

87 ft

2

Con

vert

the

diam

eter

of t

he p

ipe

from

Inch

es to

feet

.

4 in

ches

12 in

ches

1 fo

ot=

0.33

3 ft

Find

Vel

ocity

Page 10: 2020 ALL-003 Hydraulics of Pumped Systems (20-05991)

Find

Vel

ocity

Hea

dv2 2g

=h f

(5.1

3 ft/

sec)

2

(2)(3

2.2

ft/se

c2)=

h f

26.3

2 ft2

/sec

2

64.4

ft/s

ec2

=h f

0.4

ft=

h f

Step

s for

Fin

ding

Vel

ocity

Hea

dCo

nver

t flo

w ra

te to

o cf

sC

onve

rt p

ipe

diam

eter

to fe

etp

pFi

nd c

rossp

pssss

-p

p ss-se

ctio

nal a

rea

of p

ipe

in sq

uare

feet

Cal

cula

te v

eloc

ityy

Find

vel

ocit

y he

ad

Find

Maj

or a

nd M

inor

Loss

esFo

r thi

s exa

mpl

e, w

e’ll

just

find

the

maj

or lo

ss in

the

p,

For t

his e

xam

ple,

we

llF pu

mp

disc

harg

e lin

ep

pU

se H

azenenen

-g

nn-W

illia

ms

ms

mse

quat

ion

Maj

or Lo

ss fo

r 399

ftof

Pip

eW

e fo

und

that

at

Hf

Hff

or 1,

000

feet

of p

ipe

was

44 44

ftp

pM

ust r

atio

this

to a

ctua

l len

gth

of p

ipe

44ft

1,00

0 ft

=x

399

ft

0.04

4 =

x

399

ft17

.6 ft

= x

Page 11: 2020 ALL-003 Hydraulics of Pumped Systems (20-05991)

Putti

ng it

All

Toge

ther Va

lue

Tota

l Sta

tic

Hea

d80

feet

Maj

or L

osse

s17

.6 fe

et

Min

or L

osse

sN

ot c

alcu

late

d

Velo

city

Hea

d0.

4 fe

et

Tota

l Dyn

amic

Hea

d98

.4 fe

et

42

Total Dynamic Head

Dis

char

ge F

low

Rat

e, g

pm

Pum

p Cu

rves

and

Thr

ottli

ng

32-i

nch

30-i

nch

28-i

nch

n =

3500

rpm

Quiz

Click

the Q

uizbu

tton t

o ed

it th

is ob

ject

Page 12: 2020 ALL-003 Hydraulics of Pumped Systems (20-05991)

Wor

k an

d En

ergy

Both

exp

ress

ed a

s foo

tot-t-po

unds

(ftft-

ft-l

b)p

ppIf

a 2

00 lb

man

clim

bs a

flig

ht o

f sta

irs u

p 40

feet

, the

n If

a 2

00 lb

man

clim

bsI he

has

don

e 8,

000

ftmbs ftft-

a fl

ight

of

s am

bs ftft-l

b of

wor

k

Sour

ce: h

ttps:

//ww

w.fl

ickr

.com

/pho

tos/

perry

goh/

6800

0547

18/

Mar

ked

for r

euse

.

Pow

er is

the

Tim

e Ra

te

of D

oing

the

Wor

kIn

a le

isur

ely y

5 m

inut

eecl

imb,

the

man

wou

ld h

ave

yIn

a le

isur

ely

Iyy

min

ut55

ew

orke

d at

the

rate

of:

And

in h

is 3

0 se

cond

das

h up

the

stai

rs:

Pum

ps d

o W

ork

by Li

fting

Wat

erIf

a p

ump

lifts

330

lb o

f wat

er u

p a

vert

ical

dis

tanc

e of

If

a p

ump

lifts

330

lb o

f wat

er u

p a

vert

ical

I 10 fe

et, t

hen

the

pum

p ha

s don

e 3,

300

ftical

ftft-

dist

ance

ol

cal

ftft-l

b of

wor

kp

p3

3If

thos

e 33

00 p

ound

s wer

e lif

ted

in 6

sec

onds

, the

n th

e If

thos

e 33

00 p

ound

s wer

e lif

ted

in 6

se

I POW

ER g

ener

ated

wou

ld h

ave

been

:

Hors

epow

er H

istor

yTe

rm “H

orse

pow

er” c

oine

d by

Jam

es W

att (

173636

-6-18

19)

py

J733

Mar

keti

ng h

is n

ew st

eam

eng

ine

to b

rew

erie

sg

gBr

ewer

ies u

sed

hors

es to

gri

nd g

rain

for m

ash

1 hor

se242424

———fo

ot d

iam

eter

cir

cle

4 Pulls

wit

h a

forc

e of

abo

ut 18

0 po

unds

pAv

erag

e sp

eed

of 18

0.96

ft/m

in

(181

ft/m

in)(

180

lbs)

= 3

2,58

0 ftft

-ft

-lbs

/min

Sour

ce: h

ttps:

//ww

w.fl

ickr

.com

/pho

tos/

ivou

tin/1

4038

1684

5/in

/pho

tost

ream

/

Page 13: 2020 ALL-003 Hydraulics of Pumped Systems (20-05991)

Calcu

latin

g Ho

rsep

ower

One

hor

sepo

wer

is 3

3,00

0 ftftft

-ftft

-lb

of w

ork/

min

p33

Wat

er H

orse

pow

erp

Brak

e H

orse

pow

er

er

er––

incl

udes

pum

p ef

ficie

ncy

pM

otor

or W

ire

Hor

sepo

wer

p

er

er–

pp

yp

–in

clud

es p

ump

and

Mot

or o

r Wir

e H

oM m

otor

eff

icie

ncy

All

Cer

tifie

d W

ater

Pro

fess

iona

ls n

eed

to k

now

how

to

All

Cer

tifie

d W

ater

Pro

fess

ion

A calc

ulat

e ea

ch o

ne o

f the

se.

49

HP

= (g

pm)(

TDH

, ft)

(8.3

4 lb

/gal

)(3

3,00

0 ft

-lb/

min

)

HP

= (g

pm)(

TDH

, ft)

(1 lb

/gal

)(3

,960

ft-l

b/m

in)

Sim

plify

ing

the

equa

tion

give

s us

som

ethi

ng fa

mili

ar

50

Are

n’t u

nits

am

azin

g?

gal

min

ftlb ga

lm

inft-

lb

HPw

ater

= (g

pm)(

TDH

, ft)

(3,9

60)

HPb

rake

= (g

pm)(

TDH

, ft)

(3,9

60)(

Ep)

HPm

otor

= (g

pm)(

TDH

, ft)

(3,9

60)(

Ep)(

Em)

51

Spec

ific G

ravi

ty a

nd P

umpi

ngW

ater

Tem

p, o C

Spec

ific

Gra

vity

BH

P4

1.010

0.0

600.

983

98.3

100

0.95

895

.812

50.

939

93.9

150

0.91

791

.7

As s

peci

fic g

ravi

ty d

ecre

ases

, so

does

the

BHP.

(Wat

er H

P at

4o C

)(spe

cific

gra

vity

) = B

rake

HP

Page 14: 2020 ALL-003 Hydraulics of Pumped Systems (20-05991)

Sam

ple

Que

stio

nsA

pum

p is

use

d to

fill

a w

ater

tank

250

feet

abo

ve th

e 0

fe0

feet

abo

ve th

e fe

et a

boveve

A

pum

p is

use

d to

fill

a w

ater

tA

um

is u

sed

to fi

ll a

wat

er ta

nk 2

50A pu

mp

stat

ion.

The

wat

er e

nter

s the

tank

at 1

.5 c

fs.

The

pum

p st

atio

n. T

he w

ater

ent

ers t

he ta

nk a

t 1.5

cfs

. Th

e ta

nk a

t 1.5

cf

mot

or is

85%

eff

icie

nt a

nd th

e pu

mp

is 9

0% e

ffic

ient

. m

otor

is 8

5% e

ffic

ient

and

thFi

nd th

e br

ake

hors

epow

er.

HPb

rake

= (g

pm)(

TDH

, ft)

(3,9

60)(

Ep)

47 H

Pbra

ke=

(673

.2 g

pm)(

250

ft)

(3,9

60)(

0.90

)53

1.5

cfse

c60

sec

1 m

in1

cf7.

48 g

al=

673.

2 gp

m

The

plan

t inf

luen

t pum

ps d

isch

arge

thro

ugh

an 18188

-Th

e pl

ant i

nflu

ent p

umps

dis

char

grge

thro

ugh

an 1

TT18

inch

line

. Th

e fl

ow v

eloc

ity

is 5

fps.

Fin

d th

e w

ater

in

ch li

ne.

The

flow

vel

ocit

y is

5 f

hors

epow

er if

the

lift i

s 30

feet

.

wH

P=

(gpm

)(TD

H,f

t)39

60

The

plan

t inf

luen

t pum

ps d

isch

arge

thro

ugh

an 1818

-Th

e pl

ant i

nflu

ent p

umps

dis

char

grge

thro

ugh

an 1

TT18

inch

line

. Th

e fl

ow v

eloc

ity

is 5

fps.

Fin

d th

e w

ater

in

ch li

ne.

The

flow

vel

ocit

y is

5 f

hors

epow

er if

the

lift i

s 30

feet

.

Area

= 0

.785

d2Ar

ea =

(0.7

85)(1

.5 ft

)(1.5

ft)

Area

= 1

.8 ft

2

Velo

city

=Fl

owAr

ea

5 fp

s =

Flow

1.8

ft2

9cf

s=

Flow

9cf s

1cf

7.48

gal

60 s

ec1

min

= 40

39 g

pm

The

plan

t inf

luen

t pum

ps d

isch

arge

thro

ugh

an 18188

-Th

e pl

ant i

nflu

ent p

umps

dis

char

grge

thro

ugh

an 1

TT18

inch

line

. Th

e fl

ow v

eloc

ity

is 5

fps.

Fin

d th

e w

ater

in

ch li

ne.

The

flow

vel

ocit

y is

5 f

hors

epow

er if

the

lift i

s 30

feet

.

wH

P=

(gpm

)(TD

H,f

t)39

60

wH

P=

(403

9gp

m)(3

0ft)

3960

wH

P=

30.6

Page 15: 2020 ALL-003 Hydraulics of Pumped Systems (20-05991)

Find

the

wat

er to

wir

e ho

rsep

ower

giv

en th

e fo

llow

ing

Find

the

wat

erF in

form

atio

n:In

flue

nt f

low

= 0

.8 8 cf

sSt

atic

hea

d =

20 fe

etM

ajor

loss

es =

1.2

feet

jM

inor

loss

es =

0.5

feet

5M

otor

eff

icie

ncy

= 95

%y

95Pu

mp

effic

ienc

y =

80%

Conv

ert c

fsto

gpm

0.8

cfs

1cf

7.48

gal

60 s

ec1

min

= 35

9.04

gpm

HPm

otor

= (g

pm)(

TDH

, ft)

(3,9

60)(

Ep)(

E m)

Plug

in W

hat Y

ou K

now

HPm

otor

= (g

pm)(

TDH

, ft)

(3,9

60)(

Ep)(

E m)

HPm

otor

= (3

59 g

pm)(

20 +

1.2

+ 0.

5, ft

)(3

,960

)(0.

80)(

0.95

)H

Pmot

or=

(359

gpm

)(21

.7, f

t)(3

,960

)(0.

80)(

0.95

)

HPm

otor

= 2.

6

Pow

er a

nd E

nerg

yTh

e ut

ility

com

pany

send

s you

a

yp

yTh

e ut

ility

com

pany

send

s T “P

ower

” bill

eac

h m

onth

.Bu

t…..

They

are

cha

rgin

g fo

r Bu

t…..

They

are

cB ki

low

att h

ours

.Th

at’s

not h

orse

pow

er o

r or ftft

-ft

-lbsbsb

/min

Wha

t giv

es?

Take

n by

Indi

go W

ater

Gro

up

Page 16: 2020 ALL-003 Hydraulics of Pumped Systems (20-05991)

Ener

gy

But…

.. I j

ust c

alcu

late

d Po

wer

in

But…

.. I j

ust c

aB H

orse

pow

erp

1 HP

= 0.

746

kw74

1 kw

= 1,

000

wat

ts

Sour

ce: B

y M

ike1

024

at e

n.w

ikip

edia

[Pub

lic d

omai

n], f

rom

Wik

imed

ia C

omm

ons

Pow

er C

osts

It is

is

CRI

TIC

ALL

for o

pera

tors

to u

nder

stan

d th

e en

ergy

It

iI

is

RITI

CA

LC

RL

por

ope

rfo

bill

for t

heir

faci

litie

sEn

ergy

can

be

50%

or m

ore

of o

pera

ting

cos

tsgy

You

ygyuu

MU

ST5

pg

TTbe

abl

e to

cal

cula

te th

e co

st to

run

a pu

mp,

Yo

uY

u M

UST

MT

be a

ble

to c

alcu

late

the

cos

bbl

ower

, or o

ther

pie

ce o

f equ

ipm

ent

pq

Back

to u

nit c

onve

rsio

ns!

This

stu

ff d

oesn

’t gr

ow o

n tr

ees!

Goin

g fro

m H

P to

$$$

A 3

5 H

P pu

mp

runs

8 h

ours

a d

ay, 7

day

s a w

eek.

How

A

35

HP

pum

p ru

ns 8

hou

rs a

day

, 7 d

ays a

wee

k. H

ow

A 3

5 H

P pu

mp

runs

8 h

ours

a d

ay, 7

day

s am

uch

will

is c

ost t

o ru

n th

e pu

mp

for a

wee

k if

elec

tric

ity

muc

h w

ill is

cos

t to

rco

sts $

0.09

a k

wh?

35 H

P1

HP

0.74

6 kw

= $1

31.5

9/w

k

= 26

.11

kw

(26.

11 k

w)(5

6 hr

s)=

1462

.16

kwh

1462

.16

kwh

1kh

w$0

.09

Prac

tice

Mak

es P

erfe

ctA

30

HP

pum

p is

use

d to

dew

ater

an

aera

tion

bas

in.

A 3

0 H

P pu

mp

is u

sed

to d

ewat

er a

n ae

rati

on b

asin

. A

30

HP

pum

p is

use

d to

dew

ater

an

aera

tA Th

e pu

mp

runs

24

hour

s a d

ay fo

r thr

ee d

ays.

Ene

rgy

The

pum

p ru

ns 2

4 ho

urs a

day

for t

hree

day

s. E

nerg

y Th

epu

mp

runs

24ho

ursa

day

fort

hree

days

.En

ergy

is $

0.07

/ k

wh.

How

muc

h di

d it

cost

to ru

n th

e pu

mp?

A s

ubm

ersi

ble

pum

p is

use

d to

tran

sfer

wat

er fr

om o

ne

A s

ubm

ersi

ble

pum

p is

use

d to

tran

sfer

wat

er fr

om

A dige

ster

to a

noth

er.

The

tota

l dyn

amic

hea

d is

15

one

om

5fe

etdi

gest

er to

ano

ther

. Th

e to

tal d

ynam

ic h

ead

is 1

dige

ster

toan

othe

r.Th

eto

tald

ynam

iche

adis

15 5

eet

eet

fefean

d th

e pu

mp

rate

is 2

5 gp

m.

The

pum

p an

d m

otor

an

d th

e pu

mp

rate

is 2

5 gp

m.

The

pum

p an

d m

otor

an

dth

epu

mp

rate

is25

gpm

.Th

epu

mp

and

moot

orot

orha

ve a

com

bine

d ef

ficie

ncy

of 7

6%.

If th

e pu

mp

runs

ha

ve a

com

bine

d ef

ficie

ncy

of 7

6%.

If th

e pu

mp

runs

ha

vea

com

bine

def

ficie

ncy

of76

%.

Ifth

epu

mp

runs

16 h

ours

a w

eek

and

elec

tric

ity

cost

s $0.

095

/ kw

h, h

ow

16 h

ours

a w

eek

and

elec

tric

ity

cost

s $0.

095

/ kw

h16

hour

saw

eek

and

elec

tric

ity

cost

s$0.

095

/kw

hm

uch

does

it c

ost t

o ru

n th

e pu

mp

ever

y w

eek?

Page 17: 2020 ALL-003 Hydraulics of Pumped Systems (20-05991)

Peak

and

Dem

and

Char

ges

Ener

gy c

osts

var

y du

ring

a 2

4424-44-ho

ur p

erio

dgy

Peak

Part

ial P

eak

Off

Pea

kD

eman

d ch

arge

s are

the

high

est e

nerg

y co

nsum

ptio

n D

eman

d c

D over

a 15nd

c1515

-ha

rges

are

the

hch

d c

55-m

inut

e pe

riod

How

can

an

oper

ator

avo

id th

ese

char

ges?

Pow

er, W

atts

, and

Am

pera

geD

eter

min

ing

pow

er c

onsu

mpt

ion

in k

w is

diff

icul

t to

gp

Det

erm

inin

g po

wer

D asse

ss in

the

field

Find

ing

ampe

rage

is e

asy!

Wat

ts L

aw fo

r Sin

gle

Phas

e Po

wer

Wat

ts L

aw fo

r Thr

ee P

hase

Pow

er:

Exam

ple

A m

otor

runn

ing

on 4

60 V

, thr

eeee-e-ph

ase

pow

er, i

s A

mot

or ru

nnin

g on

460

V, t

hre

A m

otor

runn

inA

eeeha

se p

ower

, is

phpdr

awin

g 9.

37 a

mps

. Th

e po

wer

fact

or w

as m

easu

red

at

draw

ing

9.37

am

ps.

The

pow

er fa

ctor

80%

. Fi

nd th

e po

wer

dra

w in

wat

ts

Pow

er =

(V)(A

)(1.7

3)(P

F)Po

wer

= (4

60 v

)(9.3

7 am

p)(1

.73)

(0.8

0)Po

wer

= 5

,968

wat

ts

5,96

8 w

atts

1 H

P0.

746

kw10

00 w

atts

1 kw

= 8

HP

Quiz

Click

the Q

uizbu

tton t

o ed

it th

is ob

ject

Page 18: 2020 ALL-003 Hydraulics of Pumped Systems (20-05991)

Agen

da –

Part

2Pe

riph

eral

Vel

ocit

y, D

iam

eter

, and

Spe

edp

yPu

mp

Aff

init

y La

ws

pSy

stem

y

mmH

ead

Curv

esy Pu

mp

Perf

orm

ance

Cur

ves

Let’s

Talk

Abo

ut G

ravi

tyC

entr

ifuga

l pum

p m

ust o

verc

ome

Cen

trifu

gal p

ump

mus

t ove

rco

C grav

ity

(sta

tic

head

) to

wor

kg

yIf

I dr

op a

rock

from

the

Chr

ysle

r If

I dr

op a

rock

from

the

Chr

ysle

r I bu

ildin

g, g

ravi

ty w

ill p

ull i

t dow

nIt

s g

gy

tstsV

ELO

CIT

Yy

py

YYw

ill in

crea

se a

t a

ItIts V

ELO

Vra

te o

f O

CIT

ELO

ofof32

.2

CIT 22ft

Yw

TYY

IT ftft/s

ecl i

ncre

ase

at a

w

illw ccc

for e

very

sec

ond

rate

oof

2.2

322

ftth

at it

falls

Igno

re w

ind

resi

stan

ceg Cal

cula

te th

e ve

loci

ty w

hen

the

Cal

cula

te th

e ve

loci

ty w

C rock

hit

s the

gro

und

Sour

ce: A

lex

Proi

mos

from

Syd

ney,

Aus

tral

ia

Velo

city,

Heig

ht, a

nd G

ravi

ty

V =

the

velo

city

of t

he b

ody

in n ftft

/sec

yy

G =

the

acce

lera

tion

due

to g

ravi

ty @

32.

2 2 ftft

/secc

2g

H =

the

dist

ance

the

body

falls

Hey

… is

n’t t

his

the

sam

e eq

uatio

n as

vel

ocity

hea

d?

That

falli

ng st

one

Ass

ume

that

our

ston

e is

dro

pped

from

a b

uild

ing

100

Ass

ume

thA fe

et h

ighg

Als

o as

sum

e no

win

d re

sist

ance

or d

rag

Take

the

squa

re ro

ot o

f bo

th s

ides

Page 19: 2020 ALL-003 Hydraulics of Pumped Systems (20-05991)

Who

Car

es A

bout

Falli

ng R

ocks

?Sa

me

equa

tion

cal

cula

tes

qSa

me

equa

tion

cal

cula

tes

S init

ial v

eloc

ity

need

ed to

in

itial

vel

ocity

ne

thro

w th

e ro

ck ee

dey

ne k kU

Ped

to

ede

PPth

e sa

me

thro

w th

e di

stan

ce

Now

…. L

et’s

thro

w w

ater

N

ow…

. Let

s thr

owN in

stea

d of

rock

s

Use

a c

entr

ifuga

l pum

p!Ta

ken

by In

digo

Wat

er G

roup

at B

uffa

lo, W

Y

Cent

rifug

al F

orce

Rem

embe

r erer––

cent

rifu

gal

Rem

embe

Rer

en

trifu

gal

cpu

mps

wor

k by

“thr

owin

g”

pum

ps w

ork

by t

hrow

ing

w

ater

to th

e ou

tsid

e of

the

wat

er to

volu

teW

ater

ent

ers a

t the

eye

of

Wat

er e

nter

s aW th

e im

pelle

rp

Just

like

swin

ging

a b

ucke

t Ju

st li

ke sw

ing

J full

of w

ater

Cent

rifug

al F

orce

, Pre

ssur

e, a

ndPe

riphe

ral V

eloc

ityN

ow…

. Dri

ll a

hole

in th

e N

ow…

. Dri

ll a

hole

in th

N bott

om o

f the

buc

ket

Wha

t hap

pens

?

Wha

t hap

pens

as t

he

Wha

t hap

pens

as t

hW bu

cket

spee

ds u

p?

Sour

ce: h

ttps:

//ww

w.yo

utub

e.co

m/w

atch

?v=Z

ip9f

t1Pg

V0

Page 20: 2020 ALL-003 Hydraulics of Pumped Systems (20-05991)

Perip

hera

l Vel

ocity

Als

o ca

lled

Rim

Vel

ocit

yyD

ista

nce

trav

eled

by

a po

int o

n th

e im

pelle

r rim

ove

r D

ista

nce

trav

eled

D on

e fu

ll ro

tati

onD

ista

nce

trav

eled

is e

qual

to th

e e C

IRC

UM

FER

ENC

ED

ista

nce

trav

eled

D of th

e im

pelle

r

A Ta

le o

f Tw

o Im

pelle

rs6-

inch

Dia

met

er12

-inc

h D

iam

eter

The

poin

t on

the

12-in

ch d

iam

eter

impe

ller i

s tra

velin

g tw

ice

as fa

r with

eac

h re

volu

tion!

Use

the

Trac

k to

Fin

d To

tal

Dist

ance

Trav

eled

per

Min

ute

1.57

feet

revo

lutio

n1 m

inut

e35

00 re

volu

tions

= 5,

497

ft/m

in

3.14

feet

revo

lutio

n1 m

inut

e35

00 re

volu

tions

= 10

,990

ft/m

in

Chan

ging

the

Impe

ller S

ize Is

n’t t

he

hang

ing

the

Impe

ller S

ize Is

nCh

angi

ng th

e Im

pelle

r Size

Isn

ize Is

nO

nly

Way

to C

hang

e Ve

locit

yIf

I do

uble

the ee

DIS

TAN

CEEE

trav

eled

, I d

oubl

e th

e If

I do

uble

thI

e D

ISTA

Dpe

riph

eral

vel

ocit

y.p

py

If th

is re

latio

nshi

p is

true

:

Wha

t hap

pens

to P

erip

hera

l Vel

ocit

y w

hen

I cha

nge

Wha

tW th

e t h

appe

nW

hat

e eSP

EED

ns to

Per

iphe

rape

nDD

of th

e m

otor

?

Dir

ectl

yVe

rsus

Inve

rsel

yR

elat

ed

Page 21: 2020 ALL-003 Hydraulics of Pumped Systems (20-05991)

Two

Impe

llers

, One

Dist

ance

6-in

ch D

iam

eter

12-i

nch

Dia

met

erRo

tate

at 3

500

rpm

35p

Dis

tanc

e is

1.57

p7 7

ftp ftft/r

evol

utio

n57

Spee

d is

5,4

97 577 7 77ft7 ftftft

/min

Rota

te a

t 175

0 rp

m75

pD

ista

nce

is 3

.14 p 4 4ftp ftft

/rev

olut

ion

34

Spee

d is

5,4

97 44 7 7ft4 ftftft

/min

Now

bot

h pu

mps

hav

e th

e sa

me

rim s

peed

.

A ph

iloso

phica

l que

stio

n….

Perip

hera

l Vel

ocity

and

Hea

d Ar

e Cl

osel

y Re

late

d

H =

Hea

d in

Fee

tD

= Im

pelle

r Dia

met

er in

Inch

esp

N =

rpm

or

The

Prac

tical

App

licat

ion

Prob

lem

: Fo

r an

1800

rpm

pum

p, fi

nd th

e im

pelle

r di

amet

er n

eces

sary

to d

evel

op a

hea

d of

200

feet

:

Step

1 –

Find

the

impe

ller p

erip

hera

l vel

ocit

y ne

eded

.

Page 22: 2020 ALL-003 Hydraulics of Pumped Systems (20-05991)

Step

2 –

Find

the

impe

ller s

peed

in re

volu

tion

s pe

r sec

ond.

1800

revo

luti

ons

min

ute

1 min

ute

60 s

econ

ds=

30 re

v/se

c

Step

3 –

Cal

cula

te th

e nu

mbe

r of f

eet a

poi

nt

on th

e im

pelle

r’s ri

m tr

avel

s in

a s

ingl

e ro

tati

on:

113 fe

etse

cond

1 sec

ond

30 re

vs=

3.77

feet

/rev

olut

ion

Step

4 –

Find

the

impe

ller d

iam

eter

The

dist

ance

trav

eled

by

the

edge

of t

he

impe

ller i

s equ

al to

the

peri

met

er o

r ci

rcum

fere

nce

of th

e im

pelle

r.

Peri

met

er =

(di

amet

er)

Peri

met

er =

(3.14

)(di

amet

er)

3.77

feet

= (3

.14)(

diam

eter

)3.

143.

141.2

feet

= d

iam

eter

Rem

embe

r: Y

ou c

an

do a

nyth

ing

you

wan

t to

an e

quat

ion

as lo

ng a

syou

do

it to

BO

TH s

ides

.

Pum

p Af

finity

Law

sU

se to

com

pare

new

ope

ratin

g co

nditi

on to

old

pp

gp

pg

Allo

ws a

n op

erat

or to

det

erm

ine

pIf

cha

ngin

g m

otor

spe

ed w

ill s

olve

a c

apac

ity

prob

lem

gg

pp

yp

If c

hang

ing

impe

llers

will

sol

ve a

cap

acit

y pr

oble

mg

gp

py

pW

hat h

appe

ns to

the

pum

p di

scha

rge

head

whe

n sp

eed

Wha

t hap

pens

to th

e pu

mp

disc

hW or

impe

ller d

iam

eter

is c

hang

edp

gIf

mak

ing

a ch

ange

will

cau

se a

n un

acce

ptab

le c

hang

e in

If

mak

ing

a I am

p dr

aw

Pre

tty

Use

ful S

tuff

!

The

follo

win

gpu

mp

affin

ityla

ws

appl

yto

CEN

TRIF

UG

AL P

UM

PS O

NLY

Page 23: 2020 ALL-003 Hydraulics of Pumped Systems (20-05991)

Pum

p Af

finity

Law

#1

FLO

WW(Q

) var

ies d

irec

tly w

ith

the

chan

ge in

the

FLO

WF

WSP

EED

Q)

Q) v

arie

s dir

WQQ(Q(Q

DD(N

) or t

he

yre

ctly

wit

h th

s dir

e eD

IAM

ETER

he c

hh

thRR

(D):

If sp

eed

doub

les,

flo

w d

oubl

es.

pIf

dia

met

er d

oubl

es, f

low

dou

bles

.

89

and

Pum

p Af

finity

Law

#2

The e

HEA

DD(H

) var

ies w

ith

the

squa

re o

f the

e SP

EED

ThTe

HEA

DH

(N) o

r the

)

H) v

arie

s wi

((HA

DD((

e eD

IAM

ETER

its w

iRR

:

90

Pum

p Af

finity

Law

#3

The e

BR

AK

E H

OR

SEP

OW

ER

R(

R(b

hphp) v

arie

s wit

h th

e ThT

eR

AK

E H

Bcu

be o

f the

H

OR

SEK

E H

e eSP

EED

EPO

WER

RSE DD

(N) o

r the

hbhb

phpva

ries

wva

r)) v

RRR ((b e eeD

IAM

ETER

wit

h t

s w RR(D

):

91

Exam

ple

Q1 =

200

gpm

Qgp

Q H1 =

100

feet

of h

ead

BHp1

= 7

.2 2 2H

pp

7p

Am

ps =

7.9

Am

ps

Imag

ine

a pu

mp

wit

h an

8I 888-

agin

e a

pum

p w

agin

e a

pum

pa

ImI 888-in

ch d

iam

eter

88

nch

diam

eter

nin

impe

ller.

It h

as th

e im

pelle

r. It

has

the

char

acte

rist

ics o

n th

e ch

arac

tri

ght.

Wha

t hap

pens

if th

e W

hat h

appe

ns if

the

W impe

ller i

s cha

nged

to a

im

p10im

p1010

-el

ler i

s cha

nged

pem

p00-

inch

dia

met

er?

Page 24: 2020 ALL-003 Hydraulics of Pumped Systems (20-05991)

Ratio

to C

reat

e a

Fact

orTh

e m

ath

invo

lved

is…

wel

l…. L

ess t

han

easy

Mak

e it

sim

pler

by

crea

ting

a fa

ctor

Appl

y Fa

ctor

to A

ffini

ty La

ws

Appl

y Fa

ctor

to A

ffini

ty La

ws

BHp

and

Ampe

rage

are

Dire

ctly

Re

late

d; U

se F

cube

d

Page 25: 2020 ALL-003 Hydraulics of Pumped Systems (20-05991)

Qui

ck C

ompa

re fo

r Exa

mpl

e8-

inch

Impe

ller

10-i

nch

Impe

ller

Flow

= 2

00 g

pmgpH

ead

= 10

0 fe

etBH

ppp=

7.2

ppA

mps

= 7

.9

Flow

= 2

50 g

pm5

gpH

ead

= 15

6 fe

etBH

p5

pp=

14pp

4A

mps

= 15

.4

Wha

t if t

he m

otor

is ra

ted

for 1

1 Am

ps?

Will

the

brea

ker s

hort

out?

How

abo

ut th

e th

erm

al o

verlo

ads?

Grou

p Ex

ercis

eQ

1 = 3

25 g

pmQ

35

gpQ H

1 = 15

0 fe

et o

f hea

d5

BHp1

= 12

2 2H

pp

pA

mps

= 15

Am

ps

Imag

ine

a pu

mp

wit

h han

I 15Ima

I 15151-

gp

pgi

ne a

pum

p w

igag

ma

55-in

ch d

iam

eter

1155

nch

diam

eter

nin

impe

ller.

It h

as th

e im

pelle

r. It

has

the

char

acte

rist

ics o

n th

e ch

arac

tri

ght.

Wha

t hap

pens

if th

e W

hat h

appe

ns if

the

W impe

ller i

s cha

nged

to a

im

pe17

.5mpe .55-

ler i

s cha

nged

toll

pe 55-in

ch d

iam

eter

?

Ratio

to C

reat

e a

Fact

orTh

e m

ath

invo

lved

is…

wel

l…. L

ess t

han

easy

Mak

e it

sim

pler

by

crea

ting

a fa

ctor

Appl

y Fa

ctor

to A

ffini

ty La

ws

Page 26: 2020 ALL-003 Hydraulics of Pumped Systems (20-05991)

Appl

y Fa

ctor

to A

ffini

ty La

ws

BHp

and

Ampe

rage

are

Dire

ctly

Re

late

d; U

se F

cube

d

Grou

p Ex

ercis

eQ

1 = 3

25 g

pmQ

35

gpQ H

1 = 15

0 fe

et o

f hea

d5

BHp1

= 12

2 2H

pp

pA

mps

= 15

Am

psp

5RP

M =

1800

Imag

ine

a pu

mp

wit

h h an

I 10Ima

I 10101-

gp

pgi

ne a

pum

p w

igag

ma

00-in

ch d

iam

eter

1100

nch

diam

eter

nin

impe

ller.

It h

as th

e im

pelle

r. It

has

the

char

acte

rist

ics o

n th

e ch

arac

tri

ght.

Wha

t hap

pens

if th

e W

hat h

appe

ns if

the

W mot

or sp

eed

is in

crea

sed

mot

or sp

eed

is

to 2

200

rpm

?

Ratio

to C

reat

e a

Fact

orTh

e m

ath

invo

lved

is…

wel

l…. L

ess t

han

easy

Mak

e it

sim

pler

by

crea

ting

a fa

ctor

Page 27: 2020 ALL-003 Hydraulics of Pumped Systems (20-05991)

Appl

y Fa

ctor

to A

ffini

ty La

ws

Appl

y Fa

ctor

to A

ffini

ty La

ws

BHp

and

Ampe

rage

are

Dire

ctly

Re

late

d; U

se F

cube

d

Quiz

Click

the Q

uizbu

tton t

o ed

it th

is ob

ject

Page 28: 2020 ALL-003 Hydraulics of Pumped Systems (20-05991)

Syst

em C

urve

Gag

e A

Gag

e B

85 p

si

Step

1 –

Plot

Sta

tic

Hea

d

Sour

ce: A

CRP

Pum

ps B

ook

Step

2 –

Calcu

late

Maj

or Lo

sses

w

ith H

azen

Will

iam

s Equ

atio

nSt

ep 2

–Ca

lcula

te M

ajor

Loss

es

with

Haz

en-W

illia

ms E

quat

ion

Q,

gpm

Hea

dlos

sft

/100

ftTo

tal

Hea

dlos

sH

ead

at

gage

BH

ead

at

gage

A0

0.00

020

020

070

00.

2222

200

222

1400

0.78

7820

027

822

001.8

118

120

038

1

Page 29: 2020 ALL-003 Hydraulics of Pumped Systems (20-05991)

Step

3 –

Plot

Sys

tem

Cur

ves

Cur

ves

chan

ge b

ased

on

wet

wel

l lev

el.

Sour

ce: A

CRP

Pum

ps B

ook

Wha

t hap

pens

to th

e sy

stem

cu

rve

if he

adlo

ss ch

ange

s?C

urve

s st

eepe

n (g

o up

fast

er) w

hen n

head

losss

incr

ease

sp

(gPi

pe d

eter

iora

tes

pA

ddin

g va

lves

gPa

rtia

lly c

lose

d va

lve

Curv

es fl

atte

n w

hen n

head

lossss

decr

ease

sPi

pe c

lean

edp

Pipe

e esl

iplin

edp

pVa

lves

/ o

bstr

ucti

ons r

emov

ed

Pum

p Cu

rves

Onl

y lo

ok c

ompl

icat

edy

py

pTO

NS

of in

form

atio

n on

one

gra

phg

pTh

e ke

y is

to re

ad th

em c

orre

ctly

Rew

ard:

Kno

win

g ho

w c

hang

es in

hea

d, sp

eed,

Re

war

d: K

now

ing

how

cha

nges

in h

ead,

sR im

pelle

r dia

met

er, a

nd s

ucti

on li

ft a

ffect

p,

Hor

sepo

wer

dem

and

pFl

owH

ead

Effic

ienc

y

116

The

pum

p AL

WAY

S op

erat

es o

n its

cu

rve

Page 30: 2020 ALL-003 Hydraulics of Pumped Systems (20-05991)

Thre

e Ba

sic T

ypes

of C

urve

s for

Ce

ntrif

ugal

Pum

psH

ead

capa

city

cur

vep

yEf

ficie

ncy

curv

ey

Hor

sepo

wer

dem

and

curv

e

Oft

en, a

ll ar

e pl

otte

d on

the

sam

e gr

aph

May

als

o ha

ve a

n N

PSH

cur

ve

118

Head

Cap

acity

Cur

ve

119

Head

Cap

acity

Cur

veIm

pose

the

Syst

em C

urve

and

the

Pum

p Cu

rve

to F

ind

Ope

ratin

g Po

int(s

)

Sour

ce: A

CRP

Pum

ps B

ook

Page 31: 2020 ALL-003 Hydraulics of Pumped Systems (20-05991)

Pum

p Ef

ficie

ncy

Curv

e

Sour

ce: A

CRP

Pum

ps B

ook

122

Effic

ienc

y Cu

rves

Effic

ienc

y Cu

rves

Whe

neve

r pos

sibl

e, se

lect

a p

ump

for m

axim

um

Whe

neve

r pos

sibl

e, se

lect

a p

ump

for m

axim

W effic

ienc

y at

the

syst

em o

pera

ting

poi

nt(s

)So

urce

: AC

RP P

umps

Boo

k

Brak

e Ho

rsep

ower

Cur

ve

Sour

ce: A

CRP

Pum

ps B

ook

Page 32: 2020 ALL-003 Hydraulics of Pumped Systems (20-05991)

125

Brak

e Ho

rsep

ower

Cur

veCu

rve

Fam

ilies

A w

hole

lot g

oing

on!

A w

hole

lot g

oing

on!

A Find

the

desi

red

or e

xist

ing

impe

ller d

iam

eter

Find

the

desi

red

or e

xist

ing

F Loca

te th

e sy

stem

poi

nts

Sour

ce: A

CRP

Pum

ps B

ook

NPSH

Req

uire

d Gr

aph

As fl

ow a

nd h

ead

incr

ease

, so

does

NPS

Hre

q.So

urce

: AC

RP P

umps

Boo

k12

8

Head

Cap

acity

Cur

ve

Page 33: 2020 ALL-003 Hydraulics of Pumped Systems (20-05991)

Curv

e fo

r a M

ulti-

Spee

d Pu

mp

Spee

d ch

ange

s p

gSp

eed

chan

gS in

stea

d of

in

stea

d of

im

pelle

r siz

e

Find

the

syst

em

Find

the

syst

emF po

int o

verl

ays

Find

dBH

pH

p, F

low

, Fi

ndF

d HBHH

pF, F

and

Hea

d

Sour

ce: A

CRP

Pum

ps B

ook

Grou

p Di

scus

sion

Pum

p to

pics

to b

e di

scus

sed

by th

e gr

oup

Impa

ct o

f rep

laci

ng v

alve

in th

e di

scha

rge

line

wit

h a

valv

e of

diff

eren

t siz

e or

type

Impa

ct o

f inc

reas

ing/

decr

easi

ng s

ucti

on p

ipe

diam

eter

Impa

ct o

f inc

reas

ing/

decr

easi

ng d

isch

arge

pip

e di

amet

erIm

pact

of i

ncre

asin

g/de

crea

sing

mot

or s

peed

Wha

t if t

here

isn’

t eno

ugh

NPS

H?

Quiz

Click

the Q

uizbu

tton t

o ed

it th

is ob

ject

Pum

ps a

nd P

umpi

ngE.

E. S

keet

Ara

smit

hA

CR

Publ

icat

ions

, Inc

.w

ww.

acrp

.com