P e r o r a n c c a lc lc u la la t o n s nd on of El u l s ta t a g e c o m p re r e ss ss o r Introduction lp rf rm
Calc Calcul ulat atio io ic lc late late om re ti te th
to
here herein in cove cove
re io
in
ti
tr in
64
pply pply to "str "str ig t"
rt in ro pres pressu sure re to desi desire re pressure.
ld ce ters ters
ri
th li in -c ns in
tu
lc
arra arrang ngee-
pe iall iall lt le re in lv
ti rt io isth ig rdirditi llio lliott tt re or fram fram im ll rs ls eari eari an en ic l- ri turb turbin ines es thes thes comp compon onen ents ts ar co pute puterriz le te time.
in
ti disc discha harg rg
tlin tlin
um comp compre ress ssor or/d /dri rive ve ic re lt rn tive tive asin asin
foll foll
li
is
fa to ro ti
ti
ri
os appl applic icat atio ions ns
fe re to Representative. illi illi id
ll
meth method od
re
th luid luid clos closel el appr approx oxim imat ates es as (air (air itro itroge ge hydrogen).
"per "perfe fect ct
available. '·'M '·'M llie llier" r" in
pres presse se
th llie llie
hi ia
is avai availa labl ble. e.
te th th fi teri teri le ti ns gi irs ut ri ta of actu actual al impe impell ller er perf perfor or ance ance char charac acte teri rist stic ic as well well as soph sophis isti ti te re ltion tion tate tate
m o d n am i
mul
Fa Laws
SCFM 60° F, 14.7 psia approximate
off-design
coh-
parameters ee pe
nu e.
aN
1. 2.
ACFM=WXv ACFM =SCFMX~X
P1
Zs
where so
lT HP Flo
14.7 psia)
(P
T,
horsepower
520° R)
(0 R)
Calculations
1.
Ga Mixtures co presso
are:
1. MW) 2. (c and c.) ,T1
can
4.
K=
5. 6. Critical temperature,
e, and
e. The
66,
2:Mcp 2:Mcp -1.985
e, mixture. (8)
(3)
(10)
(9)
(1
Tc (T
Mass%
.. .....
.... ....
id
...... ..
.. ....
bid
Mixture
...
.... ....
.....
.... ....
.......
........
......
tmtxturet
........
......
IMcp'mlx) IMcp-1.985
inding he reduce reduce pressure
te perature R1as fo lows
cld
....... ........ .......
Apparent
........
....... ........ .... (mix
.......
...... .......
.......
....... .....
....... .......
........
T, Imix)
IMcp
of Mixtur
R1an
th
TR1=---
PR1=--Pc (mix) 1t
65
Char
eneral ze
om ress bility char
1.05 5.00 3.00
1.00
R: r-,
: : : : .......... p : : : : : = : : : ::::-
"'1. 0.90
6'.$
.~
....
......
........
t--: ::::-
:::::::::::: -.::::-
. . : :: :: :
....
1' ............
~~
. . . . . . . .
::::::
::::::
~~(
.::::: ::::::
f:::::
= : : : - r-.....
......
;>$
r = : : r.:::: c : : : : r-,
rl)o
. " . ,
.fjI.
..
:::: : : : : : ......
........
r-,
'-:-
-,.._ .......
....
' r - - - r- 'I-'<,
,p
!:: 0.80 .s
.6'
!!
I--
'I'-'I'-
....
2.00
t-
r-
r--", '.
t---
-....
1--'-.....
r--,
r-, <,
-,
<,
r-
<,
.. 1.40
-, r - . . . . .
<,
1.60
r--_ ..
r-, I'-......
1.
......
r-,
-,
1.15
c,
-,
'0
::E
0: o, ::E
1.10
'\ 70
:J
'\
-t>"
1.05
0.60
1.00 0.50 0.40
0.10
Char
lytr pi
to adiabati
efficiency
onvers on ro
POLYTROPIC EFFICIENCY ( 1
~
"
~
~
1.40 1.30 120
1.10 1.00 0.90 0.
t;
0.70
0.50 0:
II::
::E
0.10 0.00 01 P RE SS UR E
66
;t
R AT I
(r)
01301
015
80 ll
85
90
0:
ENGLISH SECTIO Tabl
as
ropert es
( Mo s v al u
t ak e
f ro m N at u a l
Englis
r oc es s r s S up pl i r s
s so ci at io n
g i e er in g
D at a B o k -1 97 2
Ni th
d it io n Critical
dr ca Referenc Symbol
Acetylene
k= cplc
r es s r e Pc (psia)
Iso-Butane
ic
C.HIO
n-Butane Iso-Butylene Butylene Carbon Dioxid Carbon Monoxide
nC. iC.-
C.HIO
nCIO C2
Ethylene
C2-
12.21 4.97
4.97 31.11
28.01
31.09 27.61 27.64 10.05
20.44
583 1073
10.71
242 235
1.35 1.03
7.60
8.33
8.44
8.52 8.44 74.27 16.33
927
30.00
264
33
1.05 1.06 1.41
13.41 7.50 4.97
7.23 4.97
6.98
CI 1.20 N2
Nitrogen n-Nonane Iso-Pentane n-Pentane Pentylene n-Octane Oxygen
nCo iCs nCs Cs-
Propylene
C3-
28.02
968 675
1.40 1.08 1.07 1.05
C3H.
44.09
1.13
29.6 28.83
1.39 1.20
12.4
379
483
28.27 25.08
38.47 34.46
16.82
23.57 15.00
Vapo
3208 values base
on averag
' Us e s tr ai gh t l in e I nt er po la ti o
composition.
o r e xt ra po la ti o
M-Line
-L ne Fr
t o a pp ro xi ma t
cp (I
b tu / o l
a t a ct ua l I nl e T . F o g re at e
Nominal Speed (rimin)
Ma Casing Pressure (nsin)n
r:~~inn St"np
?qM
average
h ou l
b e u se d. )
Nominal Polytropic
Eff(d,mr.v
Nominal H/N2
(oer staOR)
625
n -
0 0 0 -
""
77
77?F.
4 0
70,000 -135,000
-1 12 20MB
F.?
2.28
.!
12
8,000
10
325
4200
.78
10-
20.
3,160
10-'
42.7
45
2,800
.78
11.6
10-
57.1
45
2,600
.78
13.4
10-'
73.1
10,000
15,300
.76
3.6
10-
0.153
10,000
12,400
.76
6.2
lO
0.29
lO
0.55
3.1l!'> 5.67
10,000
8,300
.77
1.39
10-'
0.96
1,500
7,725
.77
1.52
10-'
2.85
1,200
5 0, 0
84,000
( 1 N um be r o f c as in g s ta ge s i s d et er mi ne d v al ue s a r
t yp ic al . F le xi bi li t
by
r it ic a
ee
i n t y pe s o f a va il ab l
m ar gi ns . s ta gi n
ca
h es e a ll o
5.40
325
60MB 70MB
10-'
77
10,000 2,00-
RF
4700
60M
32MB
Maximum Q/N
11"nn
0 -
88M
a cc ur ac y
Data Nominal
~~p,;;;
( 2 T he s
at 300F
551
1.09
Helium n-Heptane n-Hexane Hydrogen Hydrogen Sulphide Methane Methyl Alcoho Methyl Chloride
239 731 272 1013
529
58.12
CO
n-Decane Ethane Ethy Alcoho Ethy Chloride
Tabl
Absolute T e p er at ur e TdOR)
1636 705
1.31 1.66
39.94 78:11
Chlorine
(1 Approximat
"Mcp
Conditions
C2=
Argon
Wate
Unit
u mb er s a r f in a c om pu te r
e ne r
6,300
.77
2.28
10-'
5.40
4,700
.77
3.85
10-'
12.34
4,200
.78
5.67
10-
20.
g ui d l i
o nl y
s el ec ti on s t o h av e s ig ni fi ca n
v ar ia ti on s i n h ea d a n
e ff ic ie nc y
67
Englis
Selection Procedure te
1:
lc la late th ti
vail ble, an
ly
se th
olli
re
icie polytropic
ro
le
et od
Calc late th
[~-n-
overal
ad
Step 2: itio
ro
lu
lc
xpon nt
n-t
ip
P,
-1]
.3759
in lu
lo
-1]
ir LBM
li
lu
lo
is
ti Step 3: le lu
iv iz
la
im
is
ta
rg cool (Coo ifT2>400°F
re
= (
re
T2= °R iso-coolin is th refore re uired.
in
rmin in
.4
.3759
80
in
in ra procedure.
inte
1°
in
le io
Step 4: In ir
im
IN2
r-
H/stage ri
ti
Step 5: lc late
to to ra
ll
(11500)2 9919
im
in lu (b in
r-
in it
ltiply
LBM Determin
ap roxi at
casi
in
lo th im ll requiremen this to termin er of ca in stag s.
Adjust Sp ed
proxim te
casino stages. lo
it
re uire
Step 7: in to poses, losses ca
is harg
w,
co
-L LBM
itions
Tld li ss then
th foll
ju te
li this to dd d.
ough Ou Exampl iv
la
im in increase chanic
in
in
usto MW
relati NNOM[HRE 'D
conditio 29
ip
ju
aN
(w.- ethod)
17691b/min
'/2
'/2
N=11,110RPM Calc late th
ap roxi at 9X3
Calc late inle volu
ju
v-
fo balanc
4p
re
68
ir
re inle is
piston le ka
lo
=w, le
es
stages
Step 6: re
st
9919
id th
FT-LBF
fr lu rg
(Assum
iz in re is
IA
le
ro
[so-Carbon Seal
rt
=2
nits
ngli
it
Unit
aN 8100
'1
2=
(550 R) 7)
Gas: ethylene 2) Calculat
P =
inle
Q=
olum
33000
33000
.76
v-
(Assume [so-Carbon Seal) 4)
,=
,= ,d h-
LBM T2 Dete
Step
in
F) diabatic
fficie cy
K= 80 D=
Chart.
2an
T2f
(1 500)
99
2= T2=
th
rati
of efficiencies (.76/.73)
stage
9919 6) djus
peed
stages.
T-
69
METRIC SECTIO Tabl
Ga
Metric unit
ropert es
(Mos values take
from Natura Ga Processors Supplier
Associatio
Engineerin
Data Book-197
Nint
Edition)
Critical Ga
Hydrocarbon Referenc Symbol
orVapo
Chemical Formula
Acetylene Air Ammonia Argon Benzene
Molecular Mass
k=cp/cv at 15.5°C
26.04
Butylene Carbon Dioxid Carbon Monoxide
nC.-
C.H. C.H.o
78.11 58.12
1.12 1.10
C.H.
58.12 56.10
1.09 1.10
CO2 CO
Ethane
He nCo
n-Hexane
H •
CH30H CH3CI
Nitrogen
N2
42.16 29.05
48.16 29.~2
116.89 38.0
117.92 40.08 29.31 33.78 417.2
35.29
35.53 34.21 280.41
1.03 1.19
81.97 70.16 51.11 30.98 540.6
32.04 50.49 18.82 28.02
174.27 29.03
Oxygen C3-
28.83
Sulphu Dioxid Wate Vapo
1.32
90.0
1.20
79.8
34.50
40.13 55.32 29.31
72.15 72.15 70.13 114.22
Cs+iro
Propane Propylene
at 100°
2.02
CsH12
iCs
132.8
37.7 112.8
4.00
Hydrogen Sulphide Methane Methyl Alcoho Methyl Chloride
n-Nonane Iso-Pentane
Absolute Temperature (K)
44.01 28.01 19.48 70.91 10.71 142.28 30.07 46.07
Helium
Absolute pressure
1.24 1.40 1.31
"Mcp
Conditio n
1.04 1.08 1.07 1.08 1.05 1.40
50.3
1.13 1.15
42.5 46.1
33.7
1.20 1.24 1.33
145.94
370.0
78.7 221.2
430.6 647.8
29.97 46.16
30.64 57.31
33.31
34.07
(1)Approximate valuesbasedon averagecomposition. Usestraight lin interpolation or extrapolation to approximat Mcp [in kJ/(kmol'K) atactual inle T. (Fo greate accuracy average
Tabl
shoul beused.
M-Line . o Casino Stanes
(IRang~) M'/HR
~f~T~ rl
(bar)
Nominal
~?I.ytroPic
(o 2.25
10-'
1.109
4.56
10-'
4.84
6.84
10-'
9.17
11.55
10-'
20.97
17.01
10-'
33.98
27.3
10-4
72.6
34.8
10-'
97.
40.2
10-'
0 6,300
43
70M
.77
23 0 - 2 9 4
23
6 9 0 - 2 - 3
8. 15,300
690
12
Ma~,mum IN
st
.76
12
10.8
lO
0.26
18.6
10-
0.49 0.94
9345
12
690
10,000
.76
28.5
lO
13600
10
690
8,300
.77
4.2
10-'
1.64
103
7.725
.77
4.56
10-
4.84
46MB
83
6,300
.77
6.84
10-'
9.17
60MB
55
4,700
.77
11.55
10-'
20.97
70MB
55
4,200
.78
17.01
10-'
33.98
850-
25MB
0 38MB
( 1 N um be ro f ( 2 T he s
c as in g s ta ge s i s d et er mi ne d
v al ue s a r
t yp ic al . F le xi bi li t
by
i n t yp e
r it ic a
s pe e
o f a va il ab l
m ar gi ns . T h s ta gi n
ca
a ll o
n um b r s
re
f in a c om pu te r
g en er a
u i e li n
n ly .
s el ec ti on s t o h av e s ig ni fi ca n
v ar ia ti on s i n h ea d a n
e ff ic ie nc y
71
Metric Unit
Selectio
Procedure 3)
el ct co pr ss
ra
size h, an
al ulat
th
poly ro ic
knowin
expone
1 /
n-1
\ .
P1 3759
-1]
kg desired.
T2
.!!_
1= 5.5/ "K
procedure.
Determin
th number of casing stages
In
/N
10-
estimate. StepS:
H/N2XN =(2.25X10kg eter
ne
ppro im te nu be 110925 29756
casing st ge 3.75
=-'
stages
6) Adjust Spee te agre
wi
eq ir
is harg
stages.
conditions
kg kg Roug
Ou Exampl
1) Give th followin W1
(N-method) customer conditions 29
NNOM
7) 2) Calculat
alculate
he approx X H
inle volume
1= 4 P
(29) (5.5 /hr
/min kW
1991
=11500[27730]1
[HRE 'O
48
at
ower
etri ie 29756 6) Adjust Spee
2=
stages.
Gas ethylene
kg Q=
v-
3)
aN 29756
4)
,=
5b
kg la ,d
(s.
2f kg ; - h-
Step
T2 Determin
adiabati
efficiency
K = 1.241]p 5.5
Step h2 T2f Chart.
th
2= T2=
rati
34
13
1°C
of efficiencies
stage
H/N2XN kg
ni
Metric Unit
Mechanical Losses Chart4
Ch rt 12
12
110
II
100
70 60
11 10
II
90
80
It II
90 This chart for atmos pressure. Ad 5%for each additional bar suctio pressure
II
II
80 70
II
if
60 50
:::.
en en
40
40 _J
_J
30
20
IIII
R AT IN G
74
II
30
,; Ii
ED
O PE RA TI N
S PE E
