Appendix Compressor Selection and Sizing

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    Factors

    bbreviations A = angstrom, atm = standard atmosphere, 760 mm of Hg at 0°C, cal = calorieam), cm = centimeter, deg = degree, gal = gallon, U.S. liquid, gm (and g) = gram, gmole =

    am-mole, J = joule, kcal = kilocalorie, kg = kilogram, kJ = kilojoulc, km = kilometer, kW =owatt, 1 = liter, lb = avoirdupois pound, m = meter, mi = mile (U.S.) mm = millimeter, N =wton, oz = avoirdupois ounce, pmole = pound mole, pt = pint, rad = radian, rev = revolution, ssecond, ton = short U.S. ton, V = volt, W = watt. Others are as usual.

    N TH

    ' 0.3937 J L_cm

    30. 48 .£ ] 2.54 _£"Lin .

    3.28

    REA

    4 929 6.452ft2

    9

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    92 Compressors Selection and Sizing

    OLUME

    28." 1- 7.4 81 5 3.7854.1. 28.317 _L t

    ft3 ga ft3

    1 8 . P 1 1 P ± 61.025 lgal gal m3 i

    NSITY

    728^ 16 018̂ 1000 J^

    lb/in.3 lb/ft3 gm/cm3

    NGULAR

    rr = 6.2832 2^ 57.3^8 9.549 JESLrev rad rad/sec

    T M SPEED

    0 _L. 3600 £ 60 Hl2 0.3048 ^ 1 57. 4min hr hr fps ips

    ORCE MASS

    >— 2 . 2 0 5 ^ 1000 ^ 2000^ 453.6ibni kg kip ton ibm

    0s ^2£ 28. 35 IE 907. 18 M 1000 __N oz ton met ric ton

    RESSURE

    psi N / m2 mm Hg(0°C) N /m 2 in . Hg(0°C)

    4.696 101,325 51.715 47.88 29.921 atm atm psi psf atm

    3.57 703 07^ 6894 8^ 14.504 £ now Psi

    in. Hg(60°F) psi psi bar in. H 2O(60°F)

    .01325^ 0.4898 _ P f _ _ _ 760 ^ M ^ * * 70 in " H

    ^39 2 °F>

    atm in . Hg 60°F) atm

    731 ^f kg/cm2bar psi

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    ppendix —Conversion Factors 493

    ERGY ND POWER

    778.16 t £ 2544.4 JE. 5050 lP± r 550 L* 42 .4 ?'" . 33,000 JHL.Bin hp-hr f t I b h p - s hp-min hp-min

    3412.2 J*5L 737.562. ^. 56.87 _§ H_ 3600 J^L- 0.74 6^kW-hr k W- s kW-min kW-hr hp

    NIVERS L G S CONST NT

    545.32 _ d*_. 8 .3143__M_ 1.9859 _J* L_pmole-°R kgmo e-K pmole-°R

    .9859 cal 10.731 P si ' ft3

    gmoie-K pmo e-°R

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    ppendix B

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    Figure B 2. Psychrometric chart atmospheric air,mixture pressure barometric) 29.921 in. Hg. FromShort Kent and Walls Pressure-Enthalpy Charts forSelected Engineering Substances, Gulf PublishingCompany Houston TX, 1970.)

    M Tff c CHARTAtmospheric ir

    turt ressure QaromrtrizjZS. 921

    aa.

    £ >• OM/ 7rmf*fvffain0 f

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    gure B 3. Psychrometric chart atmospheric air,ixture pressure barometric) 29.921 in. Hg. Fromort, Kent and Walls, Pressure Enthalpy Chans forlected Engineering Substances Gulf Publishing

    ompany, Houston, TX, 1970.)

    a.

    cc

    a.

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    CAR8QN DiOXiDE

    PRESSURE ENTH ALPY DIAGRAM

    pecific n t r o p h y fu ».-R T «Temperature * ,*F. t./lb.

    DATUM; C graphite) and 0 8 gas) e« 0*R ana 0 psiaH« 0 , S* f t l nP«O

    MTHM.P1 MU./L«,

    1-5. Carbon dioxide pressure-enthalpy diagram. From Edmister and Lee, Applied Hydrocarbon Thermodynamics

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    e;sd

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    Appendix B—Pressure Enthalpy nd Compressibility 501

    6 7 8 9

    igur B-7. Freon-12* pressure-enthalpy diagram. Reprinted by permissiond courtesy of E. I. DuPbnt De Nemours and Co.) *Freon and Freon—folwed by numerals are DuPont trademarks.

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    2 Compressors Selection and Sizing

    igure B 8. Freon-12* pressure-enthalpy diagram. Reprinted by permissionnd courtesy of E. I. DuPont De Nemours and Co.) *Freon and Freon— fol-owed by numerals are DuPont trademarks.

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    Appendix B—Pressure Enthalpy nd Compressibility 5 3

    Entliolpy.Btu/lb FREON 22

    igur B 9. Freon-22* pressure-enthalpy diagram. Reprinted by permissiond courtesy of E. I. DuPont De Nemours and Co.) *Freon and Freon—fol-wed by numerals are DuPont trademarks.

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    Compressors Selection nd Sizing

    igure B 10. Freon-22* pressure-enthalpy diagram. Reprinted

    y permissiond courtesy of E. I. DuPont De Nemours and Co.) *Freon and Freon—fol

    wed by numerals are DuPbnt trademarks.

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    3C

    O

    3o

    O C

    c 38>0o „

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    NITRO N

    PRESSURE - ENTHALPY DIAGRAM

    S.Specific Entropy.V.Specific Volume. cu t . 16.

    DATUM I N 2 (gull at 0*R and 0 psio «

    B-13, Nitrogen pressure-enthalpy diagram. From Edmister and Lee, pplied Hydrocarbon hermodynamics Vol.Second Edition, ulf Publishing Company, Houston, TX, 1984.)

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    12 14 tl IM 5 U« MO »

    a

    o

    Figure B-14. Oxygen pressure-enthalpy diagram , From Short Kent and Walls Pressure Enthalpy Charts for Engineering Substances Gulf Publishing Company; Houston TX , 1970.)

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    2 8 6O 7 2 l00 3 CO 43 2O 1000 8 »». 80 6 0 40 20 63 SO 66ETHANEP R E S S U R E - ENTHALPY D I G R M

    S.Spicific n t ropy 8fu/lb.Rv. Specific Volume, cu.lt./lb.

    QATU« : e

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    PROPANE

    PRESSURE ENTHALPY DIAGRAMS=SPECIFIC ENTROPY, BTU PER LB, R

    T=TEMPERATURE.. *FV=SPECIFIC VOLUME, CU. FT. PER LB.

    DATUM: C GRAPHITE) AND H2 GAS) AT 0*RO PSIA H = 0, S MIM P = 0

    80 60 40 20 -500 80 50 40 20 -100

    B-19. Propane pressure-enthalpy diagram. From Edmister and Lee Hydrocarbon Thermodynamics Vol. I.Edition Gulf Publishing Company, Houston, TX, 1984.)

    en •

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    ISO-BUTANEPRESSURE - ENTHALPY DIAGRAM

    Entropy, Btu/ lb. R T • Temperature,Volume

    t end H,C««*J a O*R gntf Opsie

    H«O,

    s -5se tso -**o -SZ G -cot -MO -MO -S4S -HO -see .4*0 -ato 4455 ,420 -«*> .MS .)«Q

    0 -MO -100 -MO -MO -MO -«M -«0a -T80 -?iO -T40 -?20 -W» -MO -MO -«4O MO -MO -5ZO - OO -4«0 -4SO -440 -«O -4CO -J»0 -J«0 -» «0

    B 20 Iso-butane pressure-enthalpy diagram, From Edmister and Lee, Applied H ydrocarbon Thermodynam ics Vol. Icond Edition, Gulf Publishing Company, Houston, TX, 1984.)

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    55 450 «0 «»0 »?0 »5S MO

    V-Sptcitic Votont. cu.tt./lb.DATUM: gfophil.) rrtt N 2{«M m 0*R and O p

    H«0, $««i *f»«O

    •» -tie -«o -wo -«»o -«se -«o .*H> -TSO -Tta -r»o «to •*•»« -«so -«io -wo -MO -sw -*so -s»s -sis -*w -«so -«e -HO -STO -350

    Figure B-21. N-butane pressure-enthalpy diagram. From Edraister and Lee. Applied Hydrocarbon Thermodynamics Vol I,Second Edition, Gulf Publishing Company, Houston, TX, 1984.)

    en

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    n - P E N TA N EPRESSURE - ENTHSLPY DIAGRAM

    .Specific Entropy, Btu/lfe-R T'Tt Specific Volum*, cu l i / lb

    DATUM :C Qn»Mto)

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    18 Compressors Selection nd Sizing

    00

    99

    98

    .97

    .96

    .95

    .94

    93

    92

    91

    compressibility factor Z = Pv/RT

    .900 0 01 0 02 0 03 0 04 0 05 0 06 0 07 0 08 0 09 0 10

    reduced pressure Pr

    igure B 24. Generalized compressibility chart. Excerpted by special permis-on from Chemical Engineering, July 1959, copyright © 1954, by McGraw-ill, Inc., New York NY.)

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    compressibility factor Z = Pv/RT

    5 0 6

    reduced pressure Pr

    gure B-25. Generalized compressibility chart Excerpted by special Chemical 1959,yright © 1954, by McGraw-Hill Inc., ew York NY.

    en

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    eeo

    o

    s o 2°O•o o

    3 >oc O.

    ** *

    » o

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    r- compressibility factor 2 = Pv RT

    Sto

    reduced pressure Pr

    ur B 27. Generalized compressibility chart. Excerpted by special from 1959,yright © 1954, by McGraw-Hill, Inc., New York, NY.)

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    ^to•

    o

    8C

    b

    3a

    5B

    o.O

    §

    00

    r

    o o - -

    a£ r o •

    ° §

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    PaA 50OO. i ... i

    IO,OOO 15,000P R E S S U R E

    O OOO 25 000 30,000 35,000 40,000 45.000

    SIA.120

    1OOO 3000 4000 SOOO 6OOO 6SOO*-PSIA

    QC

    C

    .

    i:

    100

    09 0

    0.80

    COMPRESSJBILITY CHART FOR NATURALGAS O 65 SPECIFIC GRAVITY

    A) AMERICAN GAS ASSOCIATION PARO TO 4OOO PSIA.

    B) COMPRESSIBILITY FACTOR CHARTS FOR NATURAL GAS- CARL GATLW, THE PIPELINE ENGINEER.AUGUST, I957 MISCELLANEOUS GAS CUAVCS) USED 3OOº AND 350ºF FOR ALL PRESSURES,AND 0º TO 250ºF ABOVE 6000 PSIA OR 0º TO 250ºF, 4OOO TO 6OOO PSIA, AN AVERAGEOF THE TWO SOURCES IS USED

    INGERSOLL RAND COMPANY 1966

    tSEARCH PROJECT MX-H I«62I USED 0 TO 2SO*F AW

    350 77300 1492 SO 121

    200 93ISO 82160 71140 60

    120 49100 37.880 26.760 IS.640 4.42O -6.70 -17.8

    7OOO 8000I ' ' ' ' t

    7

    060

    0.50

    0.40

    l.SO

    1 50

    14 O

    i O

    I 2O

    MO

    KPaA-*

    i i1 ' i

    50 000 55 000 60 000

    sx

    Co

    65 000

    B-29, gas compressibility chart, 0,65 S.G. (Reprinted by and of

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    o

    o -ooon

    T O

    J

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    i f ijiqiss jdutoj pun «//mfftr.j-a/m S3Jc/— g xipus y

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    D

    £ fyfiqissaiduioj puv Miv^u^ —g xipuaddy

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    0 L O

    £ j MOi WJ

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    ppWIulX If

    hysic l

    9

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    53 ompressors election and izing

    TABLE C-1Physical Constants of Hydrocarbons

    o.

    123

    456

    89

    101123

    14

    156171819

    01

    2345

    6n-y

    901234

    356

    37

    83940

    )

    423

    4445

    46474849

    505152535455565758596061

    626364

    C o m p o u n d

    MelhoneE thonePropane

    n-Butanetsobutone

    n -Pen t ane

    Neopentane

    n-Henone2-Methylpentane3_Methy penianeN*ohe«ane2,3-Dimethyylbutane

    n-Haptone2_Methylh«tnjne3_MethylheMone3_£thylpemon«2,2-Dimethylpentone2,4~Dimethylpentone3,3-Dimethylp*nion-Triptane

    n-OeianeD n s o b u t y l

    n~Nonane

    CycrohexoneMefhylcyclohenone

    EthylencP, 0 p.nei_8u ieneCi«-2-But»neTr

    - 434 8 . 24 '-361.8i24)-346 0 < 2 4 i-149 8124 '

    32 0_ —

    -173 6 16;

    C

    °

    £̂d

    667 8707.8616.3

    550.7529.1

    488.6490.4464. C

    436.9436.6453 1446.84 5 3 . 5

    396 8396.5408.1419 3402.2396 94 2 7 . 2428.4

    360 6360 6372 4332304.

    653.8548 9

    5 91503,5

    729 8669,

    583.

    610.

    595.

    580.

    590.

    ( 6 5 3 . )628.

    . ( 5 5 8 . 4 1

    890.4

    710' 45 9 5 . 9523 55 4 1 , 4

    513.6509.2580.

    4 6 5 . 4

    11 7 4 . 2 ( 2 1 '925.3,21507. .17 I

    1071, i ) 7 i1306 .117)1145. ,24)1636, 17 )

    547 ,2> 88 M 7 :73 6 9 : 2 4 '49 3 0(24.

    1118 4 - 2 4 )

    3208 17 ;

    119ft i 7 » .

    i l i c a i c o n s r o n

    -

    Ijf

    -116.6390.09

    206.01

    305,652 7 4 , 9 8385.7369.10321. 3

    4 5 3 . 74 3 5 . 8 34 4 8 , 3420 134 4 0 , 2 9

    512 8495,00503 785 1 3 , 4 8477 23475.95505 85496 44

    564 22530 4451 9 466)0 68

    652 1

    461 54 9 9 . 3 5

    536 .7570 27

    48 58196,9295.63 2 4 , 3 73 11 . 8 62 9 2 , 5 53 7 6 , 9 3

    ( 3 3 9 . )306

    ( 4 1 2 , 195 ,31

    5 52 22605 556 5 1 - 2 46 7 5 , 0

    6 5 1 , 0 2649 67 0 6 - 06 7 6 - 4

    462,97(2 )4 6 9 . 5 8 i 2 1 )

    -220.i l? ' ,8 7 . 9 ( 2 3 )

    2 1 2 , 7 m l

    315.5(175270. 3124-

    -221. 3(2',-399 8 , 1 ? >- 181 1 17)-232 4 ( 2 4 i

    2 9 1 - 1 7 '

    7 0 5 6 . 17 ,

    12 4 5 17'

    s

    1J

    j3

    f

    0 - 0 9 9 10-07880 , 0 7 3 7

    0.07020.0724

    "0.06750.06790,0674

    Q.068B0.06810.06810.06670,0665

    0.06910.0673'0,06460,06*50,06650,06680.06620,0636

    0,06900 06760 0656

    0.0684

    0.0679

    0 0590,0607

    0 05860.0600

    0 - 0 7 3 70.06890.06850.06680.06800.06820.0697

    (0 .0649)0.0654

    (0.0650)

    0.0695

    0,0531O.Q5490.0564

    0.05570.05670.0572(5.0541O.OS70

    0.0589(21}0,0580(21)0.0532(17?0,0342(23)0.0459(24'0.0306(2*)Ql)68i; 7iO.Q517,'3>0 5167 24,'0 0 3 8 2 : 2 4 )0 0 5 1 4 i 1 7 )0.02811.17)G .

    0500: 17?

    0 0208' 17;

    EPRINTED WITH PERMISSION FHOM ENGINEERINQ DATA BOOK NINTH EDITION 1»72 4th REVISION im GAS PROCESSORS SUPPLIERS ASSOCIATION

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    ppendix C—Physical onstants of Hydrocarbons 531

    TABLE C-1 (continued)Physical onstants of Hydrocarbons

    0»n»

    >>""JO

    £ M

    s |

    a om -o

    0 3 'Q.3S64 h

    0.5077h

    0,5844h

    0,563l h

    0.63100.62470.5967 h

    0.66400.65790.66890.65400.66640 6 3 3 20.6830

    0.69170.70280.67820.67730.69760.6946

    0.7068069790 6 9 6 2072170,?3420.75040 75360 7 8 3 40.7740

    0.5220 h0.4013 h

    Q.6271h0 .6100 h

    0.6004 h

    0.64570.658 h ,Q.6272h06861Q.ATs1

    0,88440.87180.87J80.88480,8687

    Q.S6S70.9110O.S6630.796(30.794(3)0.801 "(8)0.827 h 6)0,79 h f611.397 h«l4)0 6173(11)0 8S6« 8)0 07"

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    5 Compressors Selection and Sizing

    TABLE C-1 (continued)Physical onstants of Hydrocarbons

    No.

    123

    4

    6789

    10111213

    14

    151617181920212223242S

    26

    272t293031323334ISS637

    38394041

    424344

    454647

    48

    4?so515293545556

    57585940fll

    «a6364

    tan«

    2>M*thylh«xan*3-M«thylh»«an«3~£thylp«ntono2,2—0 tmothy lp«nlon«2,4— Dimothylpontan*3,3-Diffl*»hylp*n

    .J

    5. 02. 92.1

    .8

    .8

    .4

    .4

    .4

    .22

    (1.2).2

    (1.2)

    0.96(0.98)1.00.87»

    0.78»

    (1 .4)(1.2)1.31.2

    2.72.01.6

    (1.6)(1.6)(1.6)1.4

    (2.02.0

    0.5)2 5

    39

    29

    0.999

    .19la

    .19

    1 10.88B

    6.72(5)3.28(5)

    12.50(5)

    4.30(5)

    15.50(5)

    4.00(5)

    -cm

    15 .013 . 0

    9.5

    8.48. 4

    8. 3(8.3)(8.3)7.7

    (7 .7)(7.7)(7 .7)(7.7)

    7.0

    (7.0)(7.0){7.0)(7.0)(7.0)(7.0)(7.0)

    2.9

    2.6

    8 . 3 5

    7.8

    34.01

    9 -3

    8.7

    (12.)11.5

    80.7.997 .196.78

    6 .496 . 4 96 .69

    6.16 .58

    36.5018.9574.20

    45.50

    37.00

    74.20

    A S T M

    ~K»

    E f-

    0 O

    +.05 (

    97 1

    89 6'97.6

    62.6'90.380.2

    26.073. S7 4 . 393 .494 3

    0.0

    46.45 5 869.395.683.886.60+0.1'

    55.7100.

    84.9 1

    80.0

    77.271.1

    75.684.9

    80.6183.5

    7 7 . 1

    81.0

    +2.8*-KS..3'97 9

    100.+2.8'+1.2*

    +0.2'99.3

    £

    1|§• e Q

    a

    +1.6 ' , H.§'.'93.8" .

    +.10'- 1

    61.7'9J.38S.S

    24.873 .474 .591.8+0.3 1

    0.0

    43 .452.065.092.883 J80. 8tl.8 1

    55.2100.

    +0.1*91 .3

    13.074.9

    +.fti*+0.2 f

    97 .4too

    90.9

    99.1

    -H'J«"+0.8*

    +4.0'+3.4<

    >«.'+2.1 1

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    Appendix

    traight Labyrinth Seal

    A P,= 5.76K

    v l / 2( l - cx ) 7 (RT, ) 2

    here

    W = weight flow, Ib/sec

    A = annular area, in2

    5

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    4 Compressors Selection and Sizing

    = upstream labyrinth pressure, psiaR = specific gas constant = 1,545/MWT1 = upstream labyrinth temperature, °R

    2 ~i 1 / 21 –

    = pressure factor =

    ee Figures D-l and D-2)

    r = labyrinth pressure ratio = P2/P1P2 = downstream labyrinth pressure, psiaN = number of restrictions

    8 52a = residual energy factor =

    S–1 + 7.23

    ee Figure D-4)s = axial distance between restrictions, in} = tip width of restriction, inc = radial clearance, in

    K = flow coefficient (see Figure D-3)

    24WRe = Reynolds number

    ote: Values of g u may be substituted directly from Figure D-6.nits are correct.

    D = labyrinth diameter, inu = absolute viscosity, lb-sec/ft2

    g = gravitational constant, ft/sec2

    taggered abyrinth Seal

    his formula differs from that of the straight seal in that the residualergy term >/l - a is omitted and B is a function of the equivalentmber of restrictions N .

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    ppendix D— labyrinth and Carbon Ring Seal Leakage Calculations 535

    N' = (N/2) yhere

    1ST = equivalent number of restrictionsN = actual number of restrictionsy = a function of s/c (See Figure D-5)

    should be noted that for values of s/c greater than 15, the reduction in

    akage attained by using a staggered labyrinth is very small. The reduc-on in flow varies from

    10 at s/c = 15 to 8 at s/c = 50.

    arbon Ring eal

    __ iOTOccDhPo ;— _ _ _

    (RT 0 n)l /2

    here

    W = leakage, Ib/min.D = shaft diameter, inh = radial clearance, in

    P 0 = high side pressure, psiaTO = temperature, °RR = specific gas constantn = number of rings in seriesa = parameter, function of u p 0 (see Figure D-7)

    here

    u = PH/PQ Pn = low side pressure, psia

    Po = .02(s/h) = seal ring width, in

    Equations and charts:Courtesy of A-C Compressor Corporation.

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    s

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    uv

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    3

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    Appendix D—Labyrinth and Carbon Ring Seal Leakage Calculations 539

    P T OF RESIDU L ENERGY F CTOR S FUNCTION OF SE L GEOMETRY

    FOR S T R I G H T L B Y R I N T H S

    RESIDU L ENERGY F CTO R /1

    Figure D 4. Residual energy factors for straight labyrinths

    Reprinted bypermission and courtesy of A-C Compressor Corporation)

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