Modeling and Simulation of Rotary Screw Compressors

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    Purdue University 

    Purdue e-Pubs

    I2$2* C+$ E&$$& C%$$$ S'* % M$'* E&$$&

    1980

    Modeling and Simulation of Rotary Screw CompressorsD. S. Szarkowicz

    M. A. Firnhaber

    F**5 2' # ##2* 5 2: '://#.*!.#$.$#/$

    S757, D. S. # F'!$, M. A., "M#$*& # S+*2 % R26 S$5 C+$" (1980). International Compressor f

    http://docs.lib.purdue.edu/?utm_source=docs.lib.purdue.edu%2Ficec%2F348&utm_medium=PDF&utm_campaign=PDFCoverPageshttp://docs.lib.purdue.edu/icec?utm_source=docs.lib.purdue.edu%2Ficec%2F348&utm_medium=PDF&utm_campaign=PDFCoverPageshttp://docs.lib.purdue.edu/me?utm_source=docs.lib.purdue.edu%2Ficec%2F348&utm_medium=PDF&utm_campaign=PDFCoverPageshttp://docs.lib.purdue.edu/icec?utm_source=docs.lib.purdue.edu%2Ficec%2F348&utm_medium=PDF&utm_campaign=PDFCoverPageshttp://docs.lib.purdue.edu/icec?utm_source=docs.lib.purdue.edu%2Ficec%2F348&utm_medium=PDF&utm_campaign=PDFCoverPageshttp://docs.lib.purdue.edu/me?utm_source=docs.lib.purdue.edu%2Ficec%2F348&utm_medium=PDF&utm_campaign=PDFCoverPageshttp://docs.lib.purdue.edu/icec?utm_source=docs.lib.purdue.edu%2Ficec%2F348&utm_medium=PDF&utm_campaign=PDFCoverPageshttp://docs.lib.purdue.edu/?utm_source=docs.lib.purdue.edu%2Ficec%2F348&utm_medium=PDF&utm_campaign=PDFCoverPages

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    REFER

    ENCE

    S

    1

    . C

    oates

      D .A

    ., D

    es ig

    n Tec

    hniqu

    e for

    the

    Per fo

    rm an

    ce O

    ptim i

    za t io

    n of

    a Sm

    all R

    otary

     

    V

    ane

    Com pre ss or , Ph.D. Thesis,

    Ray

    W

     

    H errick

    L

    abor

    atori

    es , 

    Schoo

    l

    o

    f

    Mech

    anica

    l E n

    ginee

    r ing,

    Pu

    rdue  U

    nive

    rs ity

    , Janu

    ary,

    19 7

    0.

    2. H

    amilto

    n, J.F. ,

     

    Exte

    nsio n

    s of

    M ath

    em at

    ical

    Mode

    ling of

    Pos i

    tive

    Dis

    place

    m ent T

    ype

    Co

    m pre

    ssors

    ,

    R

    ay W

     

    H erri

    ck La

    borat

    or ies

    ,

    Pu r

    due

    U

    nive

    rsity,

      Ju

    ly,

    19

    74.

    3. S

    chw e

    rzle r

    , D. D

    ., M

    athe

    m at ic

    al M

    odelin

    g

    o

    f

    a

    Mu

    lti p 1

     e C y

    l inde r

     Refr

    igera

    tion

    Com

    pr ess

    or , 

    Ph.D. Thesis,

    Ray 

    W

    H errick 

    Laboratories,

    Sc

    hool 

    of M

    echan

    ical 

    E ng in

    eer in

    g , P

    urdue

     

    Univ

    ersity

    ,

    Ju

    ne 1

    97 1.

    4

    .

    S o e

    d e l,

    W. In tr

    oduct

    ion  t

    o

    the

      Com

    puter

     

    S

    im ula

    tion  

    of Po

    si tiv

    e D

    isplac

    em en

    t

    Com

    pre s

    sors  ,

     

    S

    hort

     Co

    urse  Te

    st, Ray

    W

    H

    erric

    k

    L

    abora

    to rie

    s,

    P

    urdue

      Univ

    ersity

    , July,

     

    19 72.

     

    5.

    St

    evens

    o n ,  M.J.

    ,

    A C

    om pu

    ter S

    im u la

    tion  

    of a

    R ot

    ary Va

    ne C

    om p

    ressor

      , M

    .S.M.E

    .

    T

    hesis

    ,

    Ray

    H errick

    Labora tor ies,

    School

    of

    Me

    chani

    cal E

    n gine

    er in g

    , Pu

    rdue  U

    nive r

    si ty ,

     

    A

    ug us

    t, 19

    69.

    6.

    Wam

    bsgan

    ass, M.W.

     

    Mat

    hema

    tic M

    odelin

    g an

    d

    De

    sign 

    Ev alu

    ation

      of 

    High

      Speed

      R ec

    iproc

    at ing

     

    Com

    presso

    rs ,

    Ph.D.

     

    Th

    esis,

      Ray

      W

      H e

    rrick

     

    La

    bora

    tories

    , Sc

    hool

    of M

    echan

    ical 

    En gi

    n ee ri

    ng ,

    Pu rdu

    e

    Un

    ivers

    ity, 

    Ja

    nuar

    y, 

    1966.

     

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    w

    1-'

    «

    V l

    0...

    cr:

    >

    V l

    V l

    LLl

    cr:

    0...

    DISCHARGE

    PRESSURE

    0

    L1J

    cr:

    >

    «

    cr:

    L1J

    0...

    co

    _J

    Vl·

    V l

    «

    l

    SUCTION PRESSUR

    iii L-=:::----;;==== = :::...._

    ~ ~

    DEGREES

    OF MALE

    ROTATION

    DEGREES

    OF

    MALE

    ROTATION

    DEGREES

    OF MALE

    ROTATIDN

    INPUT DATA

    Rotor Diameter -

    127.5mm

    L/D Ratio - 1.65

    Built-in Pressure Ratio - 8.00

    Inlet Configuration - Radial only

    Discharge Configuration -

    Both

    radial

    and

    axial

    Ratio of Specific Heats - 1.40

    Gas

    Constant -

    1545 ft-lb/ lb.-mole.-

    0

    R

    Critical

    Pressure Ratio - 0.52828

    Polytropic Exponent - 1

    .50

    for compression

    Suction Pressure - -0.10 psig

    Suction Temperature - 70°F.

    Discharge Pressure -

    100

    psig

    Barometric Pressure - 29.910 in. hg.

    Male

    Rotor Speed - 5000 rpm

    Inlet

    Flow

    Coefficient - .10

    Discharge

    Flow

    Coeffici€nt - .90

    OUTPUT DATA

    Total delivered

    mass

    = 21.78468 lb/min

    Percent

    mass enterinq

    radial inlet

    = 100

    Percent

    mass

    entering axial inlet = 0.0

    Percent

    mass

    exiting radial discharge= 17.375

    Percent

    mass

    exitinq

    axial discharge

    =

    82.625

    Total volume flow at inlet conditions = 292.68

    cfm

    Indicated

    power

    (gas only) 57.338 hp

    Suction process power loss = .756 hp

    Discharge process power loss= 1.551

    hp

    Specific

    power

    = 19.591 hp/100

    cfm

    Volumetric efficiency

    = 99.512

    Adiabatic

    efficiency= 91.227

    Isothermal efficiency =

    66.976

    FIGURE 2 -

    COMPUTER

    SIMULATION SAMPLE OUTPUT