4.66 Heat Exchanger Databook

52
AC 26/02/2015 Item no. 4.66 Heat Exchanger Data Book CHC603 Heat Transfer Operation – II

description

heat exchanger design formulas

Transcript of 4.66 Heat Exchanger Databook

  • '&

    $

    %

    AC 26/02/2015 Item no. 4.66

    Heat Exchanger Data BookCHC603 Heat Transfer Operation II

  • This page intentionally kept blank.

  • Contents

    I Formulae, graphs and tables 1

    1 Shell and Tube Heat Exchanger 31.1 Log Mean Temperature difference . . . . . . . . . . . . . . . . . . . . . . . . . 3

    1.1.1 Correction factor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31.2 Heat transfer through tubes . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61.3 Shell-side heat-transfer coefficient(Kerns Method) . . . . . . . . . . . . . . . . 61.4 Bells method for HTC shell side . . . . . . . . . . . . . . . . . . . . . . . . . 7

    1.4.1 HTC cross flow . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71.4.2 Fn, tube row correction factor . . . . . . . . . . . . . . . . . . . . . . . 71.4.3 Fw, window correction factor . . . . . . . . . . . . . . . . . . . . . . . . 71.4.4 Fb, bypass correction factor . . . . . . . . . . . . . . . . . . . . . . . . 81.4.5 FL, Leakage correction factor . . . . . . . . . . . . . . . . . . . . . . . 8

    1.5 Pressure Drop in shell . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 81.5.1 Cross-flow zones . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 81.5.2 Pi ideal tube bank pressure drop . . . . . . . . . . . . . . . . . . . . 91.5.3 F b , bypass correction factor for pressure drop . . . . . . . . . . . . . . 91.5.4 F L, leakage factor for pressure drop . . . . . . . . . . . . . . . . . . . . 111.5.5 Window-zone pressure drop . . . . . . . . . . . . . . . . . . . . . . . . 111.5.6 End zone pressure drop . . . . . . . . . . . . . . . . . . . . . . . . . . . 111.5.7 Total shell-side pressure drop . . . . . . . . . . . . . . . . . . . . . . . 141.5.8 Shell and bundle geometry . . . . . . . . . . . . . . . . . . . . . . . . . 14

    1.6 Wills-Johnston Method . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 161.6.1 Streams and flow areas . . . . . . . . . . . . . . . . . . . . . . . . . . . 161.6.2 Flow resistances . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 171.6.3 Total shell-side pressure drop . . . . . . . . . . . . . . . . . . . . . . . 19

    1.7 Fouling factor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 191.8 Tube data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20

    2 Plate Heat Exchanger 212.1 Plate . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 212.2 Heat transfer coefficient . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21

    2.2.1 Number of Transfer Units (NTU) . . . . . . . . . . . . . . . . . . . . . 232.2.2 Correction factor, Ft . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23

    2.3 Pressure drop . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 232.3.1 Pressure drop in flow through plates . . . . . . . . . . . . . . . . . . . 232.3.2 Pressure drop in flow through port . . . . . . . . . . . . . . . . . . . . 24

    2.4 Plate sizes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24

    iii

  • University of Mumbai CHC603 Heat Exchanger Data Book

    3 Condenser Design 273.1 HTC in Vertical condenser . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 273.2 HTC in Horizontal Condenser . . . . . . . . . . . . . . . . . . . . . . . . . . . 273.3 Condensation with subcooling . . . . . . . . . . . . . . . . . . . . . . . . . . . 283.4 Condensation with desuperheating . . . . . . . . . . . . . . . . . . . . . . . . 283.5 Condensation in vertical tubes with vapour downflow . . . . . . . . . . . . . . 293.6 Condensation outside horizontal tubes . . . . . . . . . . . . . . . . . . . . . . 29

    4 Reboiler Design 314.1 Nucleate Boiling . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31

    4.1.1 The Forster-Zuber correlation . . . . . . . . . . . . . . . . . . . . . . . 314.1.2 The Mostinski correlation . . . . . . . . . . . . . . . . . . . . . . . . . 314.1.3 The Cooper correlation . . . . . . . . . . . . . . . . . . . . . . . . . . . 324.1.4 The Stephan-Abdelsalam correlation . . . . . . . . . . . . . . . . . . . 324.1.5 Boiling mixtures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 334.1.6 Convective effects in tube bundles . . . . . . . . . . . . . . . . . . . . . 33

    4.2 Critical heat flux . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 344.2.1 Mostinski correlation . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34

    4.3 Two Phase Flow . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 354.3.1 Pressure drop correlations . . . . . . . . . . . . . . . . . . . . . . . . . 35

    4.4 Convective Boiling in Tubes . . . . . . . . . . . . . . . . . . . . . . . . . . . . 374.4.1 Heat transfer coefficient . . . . . . . . . . . . . . . . . . . . . . . . . . 374.4.2 Critical heat flux . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38

    4.5 Film Boiling . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 384.5.1 Heat transfer coefficient . . . . . . . . . . . . . . . . . . . . . . . . . . 38

    4.6 Design equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 394.6.1 Number of nozzles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 394.6.2 Shell diameter . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39

    4.7 Frictional losses in pipe . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 394.7.1 Friction factor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 394.7.2 Pressure drop in pipe . . . . . . . . . . . . . . . . . . . . . . . . . . . . 404.7.3 Maximum gas/vapour velocity in tubes . . . . . . . . . . . . . . . . . . 404.7.4 Maximum velocity of liquids in tubes . . . . . . . . . . . . . . . . . . . 404.7.5 Maximum velocity of two-phase flow in tubes/pipe . . . . . . . . . . . 41

    4.8 Design of Vertical Thermosyphon Reboiler . . . . . . . . . . . . . . . . . . . . 414.8.1 Pressure balance . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 414.8.2 Sensible heating zone . . . . . . . . . . . . . . . . . . . . . . . . . . . . 424.8.3 Mist flow limit . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43

    II Data Sheet 45

    iv

  • Part I

    Formulae, graphs and tables

    1

  • Chapter 1

    Shell and Tube Heat Exchanger

    1.1 Log Mean Temperature difference

    For counter current flow,

    Tlm =(Thin Tcout) (Thout Tcin)

    ln

    (Thin TcoutThout Tcin

    ) (1.1)

    Tm = FtTlm (1.2)

    1.1.1 Correction factor

    For one shell pass and two or more even tube passes shell and tube heat exchanger,

    Ft =

    (R2 + 1)ln

    [1 S

    1RS]

    (R 1) ln2 S

    (R + 1(R2 + 1))

    2 S(R + 1 +

    (R2 + 1)

    )

    (1.3)

    where,

    R =Tin Touttout tin (1.4)

    S =tout tinTin tin (1.5)

    T = Shell side temperaturet = Tube side temperatureTh = hot fluid temperatureTc = cold fluid temperature

    3

  • University of Mumbai CHC603 Heat Exchanger Data Book

    4

  • University of Mumbai CHC603 Heat Exchanger Data Book

    5

  • University of Mumbai CHC603 Heat Exchanger Data Book

    Figure 1.1: LMTD Correction factor (1 Shell pass; 3 tube passes)

    1.2 Heat transfer through tubes

    Seider-Tate and Hausen equations,

    for Re 104Nu = 0.023Re0.8Pr1/3(/w)

    0.14 (1.6)

    for 2100 < Re 104

    Nu = 0.116[Re2/3 125]Pr1/3(/w)0.14 [1 (D/L)2/3] (1.7)

    for Re 2100Nu = 1.86 [RePr (D/L)]1/3 (/w)

    0.14 (1.8)

    1.3 Shell-side heat-transfer coefficient(Kerns Method)

    jH = 0.5 (1 + lB/Ds)(0.08Re0.6821 + 0.7Re0.1772

    )(1.9)

    where,

    jH =hodek

    Pr1/3(/w)0.14 (1.10)

    lB = bae spacingDs = shell IDde = equivalent diameter

    6

  • University of Mumbai CHC603 Heat Exchanger Data Book

    Re =Gsde

    (1.11)

    Gs =msAs

    (1.12)

    As =(pt do)DslB

    pt(1.13)

    for a square pitch arrangement:

    de =1.27

    do

    (p2t 0.785d2o

    )(1.14)

    for an equilateral triangular pitch arrangement:

    de =1.10

    do

    (p2t 0.917d2o

    )(1.15)

    1.4 Bells method for HTC shell side

    hs = hocFnFwFbFL (1.16)

    hoc = heat transfer coefficient calculated for cross-flow over an ideal tube bank,no leakage or bypassing.

    Fn = correction factor to allow for the effect of the number of vertical tube rows,Fw = window effect correction factor,Fb = bypass stream correction factor,FL = leakage correction factor.

    1.4.1 HTC cross flow

    hocdokf

    = jhRePr1/3

    (

    w

    )0.14(1.17)

    1.4.2 Fn, tube row correction factor

    1. Re > 2000, turbulent; take Fn from Figure 12.32.

    2. Re > 100 to 2000, transition region, take Fn = 1.0;

    3. Re < 100, laminar region,Fn (N c)0.18where N c is the number of rows crossed in series from end to end of the shell.

    1.4.3 Fw, window correction factor

    The correction factor is shown in Figure 12.33 plotted versus Rw, the ratio of the number oftubes in the window zones to the total number in the bundle. For Rw refer section 1.5.8

    7

  • University of Mumbai CHC603 Heat Exchanger Data Book

    1.4.4 Fb, bypass correction factor

    Fb = exp

    [Ab

    As

    (1

    (2NsNcv

    )1/3)](1.18)

    where,

    = 1.5 for laminar flow, Re < 100, = 1.35 for transitional and turbulent flow Re > 100,Ab = clearance area between the bundle and the shell, refer equation (1.34),As = maximum area for cross-flow,Ns = number of sealing strips encountered by the bypass stream in the cross-flow zone,Ncv = the number of constrictions, tube rows, encountered in the cross-flow section.

    1.4.5 FL, Leakage correction factor

    FL = 1 L[Atb + 2Asb

    AL

    ](1.19)

    where,

    L = a factor obtained from Figure 12.35,Atb = the tube to bae clearance area, per bae,Asb = shell-to-bae clearance area, per bae,AL = total leakage area = (Atb + Asb).

    1.5 Pressure Drop in shell

    1.5.1 Cross-flow zones

    Pc = PiFbFL (1.20)

    8

  • University of Mumbai CHC603 Heat Exchanger Data Book

    1.5.2 Pi ideal tube bank pressure drop

    Pi = 8jtNcvu2s2

    (

    w

    )0.14(1.21)

    where,

    Ncv = number of tube rows crossed (in the cross-flow region),us = shell side velocity, based on the clearance area at the bundle equator,jt = friction factor obtained from Figure 12.36, at the appropriate Reynolds number,

    Re = (usdo/).

    1.5.3 F b , bypass correction factor for pressure drop

    The correction factor is calculated from the equation used to calculate the bypass correctionfactor for heat transfer, equation (1.18) but with the following values for the constant ,

    where,

    = 5 for laminar flow, Re < 100, = 4 for transitional and turbulent flow Re > 100

    The correction factor for exchangers without sealing strips is shown in Figure 12.37.

    9

  • University of Mumbai CHC603 Heat Exchanger Data Book

    10

  • University of Mumbai CHC603 Heat Exchanger Data Book

    B

    1.5.4 F L, leakage factor for pressure drop

    The factor is calculated using the equation for the heat-transfer leakage-correction factor,with the values for the coefficient L taken from Figure 12.38.

    1.5.5 Window-zone pressure drop

    Pw = FL (2 + 0.6Nwv)

    u2z2

    (1.22)

    where

    uz = the geometric mean velocity, =uwus

    uw = the velocity in the window zone, based on the window area less the area occupiedby the tubes, Aw =

    WsAw

    Ws = shell-side fluid mass flow, kg/s,Nwv = number of restrictions for cross-flow in window zone, approximately equal to the

    number of tube rows.

    1.5.6 End zone pressure drop

    Pe = Pi

    [Nwv +Ncv

    Ncv

    ]F b (1.23)

    11

  • University of Mumbai CHC603 Heat Exchanger Data Book

    A

    12

  • University of Mumbai CHC603 Heat Exchanger Data Book

    B

    13

  • University of Mumbai CHC603 Heat Exchanger Data Book

    1.5.7 Total shell-side pressure drop

    Ps = 2Pe + Pc (Nb 1) +NbPw (1.24)where, Nb =

    LlB 1

    L = Total tube length,lB = bae spacing

    1.5.8 Shell and bundle geometry

    Hb =Db2Ds (0.5Bc) (1.25)

    Ncv =Db 2Hb

    pt(1.26)

    Nwv =Hbpt

    (1.27)

    Hc= bae cut height = Ds Bc, where Bc is the bae cut as a fraction,Hb= height from the bae chord to the top of the tube bundle,Bb= bundle cut = Hb/Db,b = angle subtended by the bae chord, rads,Db= bundle diameter.Ds= Shell ID.pt = pt for square pitch,pt = 0.87pt for equilateral triangular pitch.

    A

    14

  • University of Mumbai CHC603 Heat Exchanger Data Book

    The number of tubes in a window zone Nw is given by:

    Nw = Nt Ra (1.28)

    where, Ra is the ratio of the bundle cross-sectional area in the window zone to the total bundlecross-sectional area, Ra can be obtained from Figure 12.41, for the appropriate bundle cut,Bb.

    Figure 1.2: Typical bae clearances.

    15

  • University of Mumbai CHC603 Heat Exchanger Data Book

    The number of tubes in a cross-flow zone Nc is given by

    Nc = Nt 2Nw (1.29)Rw =

    2NwNt

    (1.30)

    Aw =

    (piD2s

    4Ra

    )(Nw

    pid2o4

    )(1.31)

    Ra is obtained from Figure 12.41, for the appropriate bae cut Bc

    Atb =ctpido

    2(Nt Nw) (1.32)

    where ct is the diametrical tube-to-bae clearance; the difference between the hole and tubediameter, typically 0.8 mm.

    Asb =csDs

    2(2pi b) (1.33)

    where cs is the bae-to-shell clearance, see Figure 1.2.

    b can be obtained from Figure 12.41, for the appropriate bae cut, Bc

    Ab = lB (Ds Db) (1.34)

    1.6 Wills-Johnston Method

    1.6.1 Streams and flow areas

    The bypass flow area

    Sbp = B (Ds Dot +Npp) (1.35)where,

    Ds = Shell IDB = central bae spacingDot = outer tube limit diameterNp = number of tube pass partitions aligned with the cross-flow directionp = pass partition clearance

    Tube-to-bae leakage flow

    St = ntpiDotb (1.36)

    Shell-to-bae leakage flow

    Ss = piDssb (1.37)

    where

    nt = number of tubes in bundletb = tube-to-bae clearancesb = shell-to-bae clearance

    16

  • University of Mumbai CHC603 Heat Exchanger Data Book

    SBW =BD2ot (pi ot + sin ot)

    4Ds (1 2Bc) BNpp (1.38)where,

    ot = 2 cos1[Ds (1 2Bc)

    Dot

    ](1.39)

    Here, Bc is the fractional bae cut and ot is expressed in radians.

    1.6.2 Flow resistances

    The cross-flow resistance The cross-flow resistance is given by the following equation

    B =4aDoDsDv (1 2Bc) (PT Do)3

    (mBDoSBW

    )b2gcS2BW

    (1.40)

    mBmo

    =

    xoyB

    (1.41)

    where

    a= 0.061, b= 0.088 for square and rotated-square pitcha = 0.450, b = 0.267 for triangular pitch

    Dv =1P

    2T D2oDo

    (1.42)

    1 = 1.273 for square and rotated-square pitch= 1.103 for triangular pitch

    The bypass flow resistance The bypass flow resistance is computed as follows:

    CF =

    0.3164Ds

    (1 2Bc2PT

    )(moDeSbp

    )0.025+ 2Nss

    2gcS2bp(1.43)

    mCFmo

    =

    xoyCF

    (1.44)

    where

    Nss = number of pairs of sealing strips2 = 1.0 for square pitch

    = 1.414 for rotated-square pitch= 1.732 for triangular pitch

    De = equivalent diameter for the bypass flow

    De =2Sbp

    Ds Dotl + 2B +Np (B + p) (1.45)y = w + x (1.46)

    x =1(

    1B

    + 1CF

    )2 (1.47)17

  • University of Mumbai CHC603 Heat Exchanger Data Book

    The tube-to-bae leakage flow resistance The flow resistance for the tube-to-baeleakage stream is given by the following equation,

    A =0.036Bt/tb + 2.3 (Bt/tb)

    0.177

    2gcS2t(1.48)

    where Bt is the bae thickness. Flow fraction,

    mAmo

    =

    oA

    (1.49)

    where, mo is total mass flow.

    The shell-to-bae leakage flow resistance The flow resistance for the shell-to-baeleakage stream is given by an equation,

    E =0.036Bt/sb + 2.3 (Bt/sb)

    0.177

    2gcS2s(1.50)

    mEmo

    =

    oE

    (1.51)

    The window flow resistance The window flow resistance is given by

    w =1.9 exp (0.6856Sw/Sm)

    2gcS2w(1.52)

    mwmo

    =

    oy

    (1.53)

    Inlet and outlet bae spaces The cross-flow resistance in the end spaces is estimatedby the following equation

    e = 0.5x

    (B

    Be

    )2 [1 +

    DotlDs (1 2Bc)

    ](1.54)

    the end bae spaces. The flow resistance in the end windows is calculated as follows

    we =1.9 exp [0.6856SwB/(SmBe)]

    2gcS2w(1.55)

    The pressure drop in the inlet or outlet bae space is then given by:

    Pe = em2e + 0.5wem

    2w (1.56)

    Pj = jm2j j = A,B,CF,E (1.57)

    18

  • University of Mumbai CHC603 Heat Exchanger Data Book

    1.6.3 Total shell-side pressure drop

    Po = [(nb 1) Py + Pin + Pout] + Pn (1.58)

    = 3.646Re0.1934B ReB < 1000

    = 1.0 ReB 1000ReB =

    DomBSm

    Py = ym2w

    where,

    nb = number of baes.Pin,Pout = the pressure drops in the inlet and outlet bae spaces.Pn = the pressure drops in the nozzles.

    1.7 Fouling factor

    Fluid Coefficient (W.m-2.C-1) Resistance (m2.C.W-1)

    River water 3000-12,000 0.0003-0.0001 Sea water 1000-3000 0.001-0.0003 Cooling water (towers) 3000-6000 0.0003-0.00017 Towns water (soft) 3000-5000 0.0003-0.0002 Towns water (hard) 1000-2000 0.001-0.0005 Steam condensate 1500-5000 0.00067-0.0002 Steam (oil free) 4000- 10,000 0.0025-0.0001 Steam (oil traces) 2000-5000 0.0005-0.0002 Refrigerated brine 3000-5000 0.0003-0.0002 Air and industrial gases 5000-10,000 0.0002-0.000-1 Flue gases 2000-5000 0.0005-0.0002 Organic vapors 5000 0.0002 Organic liquids 5000 0.0002 Light hydrocarbons 5000 0.0002 Heavy hydrocarbons 2000 0.0005 Boiling organics 2500 0.0004 Condensing organics 5000 0.0002 Heat transfer fluids 5000 0.0002 Aqueous salt solutions 3000-5000 0.0003-0.0002

    Figure 1.3: Typical values of fouling coefficients and resistances

    19

  • University of Mumbai CHC603 Heat Exchanger Data Book

    1.8 Tube data

    Standard tube data:

    Tube Size Outside diameter Wall thickness

    inch inch mm BWG inch mm

    14

    0.250 6.350 8 0.165 4.191

    38

    0.375 9.525 9 0.148 3.759

    12

    0.500 12.700 10 0.134 3.404

    58

    0.625 15.875 12 0.109 2.769

    34

    0.750 19.050 14 0.083 2.108

    78

    0.875 22.225 16 0.065 1.651

    1 1.000 25.400 18 0.049 1.245

    114

    1.250 31.750 20 0.035 0.889

    112

    1.500 38.100 22 0.028 0.711

    2 2.000 50.800 24 0.022 0.559

    20

  • Chapter 2

    Plate Heat Exchanger

    2.1 Plate

    Figure 2.1: Plate

    2.2 Heat transfer coefficient

    hpde

    k= 0.26Re0.65Pr0.4

    (

    w

    )0.14(2.1)

    Re =upde

    up =(m/nc)

    Af

    21

  • University of Mumbai CHC603 Heat Exchanger Data Book

    Af = flow area through plates = b Lw,Lw = effective plate width,de = equivalent diameter = 2b,b = plate gap = p t,p = pitch,t = plate thickness.nc = number of channels

    Table 2.1: Heat transfer coefficient

    Fluid Coefficient (W/m2-C)River water 3000 12,000

    Sea water 1000 3000

    Cooling water (towers) 3000 6000

    Towns water (soft) 3000 5000

    Towns water (hard) 1000 2000

    Steam condensate 1500 5000

    Steam (oil free) 4000 10,000

    Steam (oil traces) 2000 5000

    Refrigerated brine 3000 5000

    Air and industrial gases 5000 10,000

    Flue gases 2000 5000

    Organic vapours 5000

    Organic liquids 5000

    Light hydrocarbons 5000

    Heavy hydrocarbons 2000

    Boiling organic 2500

    Condensaing organics 5000

    Heat transfer fluids 5000

    Aqueous salt solutions 3000 5000

    Table 2.2: Fouling factor in PHE

    Fluid Fouling factor (m2-C/W)Process water 0.00003

    Town water (soft) 0.00007

    Town water (hard) 0.00017

    Cooling water (treated) 0.00012

    Sea water 0.00017

    Lubricating oil 0.00017

    Light organics 0.00010

    Process fluids 0.0002 0.00005

    22

  • University of Mumbai CHC603 Heat Exchanger Data Book

    2.2.1 Number of Transfer Units (NTU)

    NTU =to tiTlm

    (2.2)

    Corrected mean temperature difference,

    Tm = FtTlm (2.3)

    2.2.2 Correction factor, Ft

    Refer figure 2.2

    Figure 2.2: Log mean temperature correction factor for plate heat exchangers

    2.3 Pressure drop

    2.3.1 Pressure drop in flow through plates

    Pp = 8jf

    (Lpde

    )u2p2

    (2.4)

    Lp = effective plate length, = Lv dptjf = 0.6Re

    0.3 for turbulent flow.

    23

  • University of Mumbai CHC603 Heat Exchanger Data Book

    2.3.2 Pressure drop in flow through port

    Ppt = 1.3

    (u2pt

    )2

    NP (2.5)

    NP = number of passes,

    upt = velocity in port =m

    Ap, where Ap =

    pid2pt4

    2.4 Plate sizes

    D

    B

    CE

    APP

    L2

    24

  • University of Mumbai CHC603 Heat Exchanger Data Book

    Table 2.3: Plate dimensionsPlateNo.

    MaxPressure

    A B C D E L2 PP Portsize

    bar mm mm mm mm mm mm mmPL01 16 460 160 336 65 85 150 600 pcs. 2.4 1PL02 16 800 160 675 65 85 150 600 pcs. 2.4 1PL03 16 837 310 590 135 132 250 1000 pcs. 2.4 2PL04 16 1066 310 819 135 132 250 1000 pcs. 2.4 2PL05 25 470 185 381 70 45 250 1000 pcs. 2.7 1PL06 25 765 185 676 70 45 250 1000 pcs. 2.7 1PL07 25 733 310 494 126 128 250 1000 pcs. 2.9 2PL08 25 933 310 694 126 128 250 1000 pcs. 2.9 2PL09 25 1182 310 894 126 128 250 1000 pcs. 2.9 2PL10 16 1080 440 650 202 200 500 2500 pcs. 3.1 DN80PL11 25 1160 480 719 225 204 500 2500 pcs. 3.1 DN100PL12 25 1332 480 894 225 204 500 3000 pcs. 3.1 DN100PL13 25 1579 480 1141 225 204 500 3000 pcs. 3.1 DN100PL14 25 1826 480 1388 225 204 500 3000 pcs. 3.1 DN100PL15 25 2320 480 1882 225 204 500 3000 pcs. 3.1 DN100PL16 25 1470 620 941 290 225 500 4000 pcs. 3.5 DN150PL17 25 1835 620 1306 290 225 500 4000 pcs. 3.5 DN150PL18 25 2200 620 1671 290 225 500 4000 pcs. 3.5 DN150PL19 25 1470 620 941 290 225 500 4000 pcs. 3.1 DN150PL20 25 1835 620 1306 290 225 500 4000 pcs. 3.1 DN150PL21 25 2200 620 1671 290 225 500 4000 pcs. 3.1 DN150PL22 25 2687 620 2157 290 225 500 4000 pcs. 3.1 DN150PL23 25 1380 760 770 395 285 500 4000 pcs. 3.1 DN200PL24 25 1740 760 1130 395 285 500 4000 pcs. 3.1 DN200PL25 25 2100 760 1490 395 285 500 4000 pcs. 3.1 DN200PL26 25 2460 760 1850 395 285 500 4000 pcs. 3.1 DN200PL27 25 1930 980 1100 480 365 1780 5280 pcs. 3.8 DN300PL28 25 2320 980 1490 480 365 1780 5280 pcs. 3.8 DN300PL30 25 2710 980 1879 480 365 1780 5280 pcs. 3.8 DN300PL31 25 3100 980 2267 480 365 1780 5280 pcs. 3.8 DN300PL32 25 2500 1370 1466 672 480 1980 5980 pcs. 4.1 DN500PL33 25 2855 1370 1822 672 480 1980 5980 pcs. 4.1 DN500PL34 25 3211 1370 2178 672 480 1980 5980 pcs. 4.1 DN500PL33 25 3567 1370 2534 672 480 1980 5980 pcs. 4.1 DN500

    25

  • University of Mumbai CHC603 Heat Exchanger Data Book

    Table 2.4: Pipe sizes for PHE

    Outside

    Diameter

    Wall

    Thickness

    Inside

    Diameter

    NB DN OD - t - ID

    (inches) mm (inches) (inches) (inches)

    1/8 6 0.405 0.0680 0.2690

    1/4 8 0.54 0.0880 0.3640

    3/8 10 0.675 0.0910 0.4930

    1/2 15 0.84 0.1090 0.6220

    3/4 20 1.05 0.1130 0.8240

    1 25 1.315 0.1330 1.0490

    1 1/4 32 1.66 0.1400 1.3800

    1 1/2 40 1.9 0.1450 1.6100

    2 50 2.375 0.1540 2.0670

    2 1/2 65 2.875 0.2030 2.4690

    3 80 3.5 0.2160 3.0680

    4 100 4.5 0.2370 4.0260

    6 150 6.625 0.2800 6.0650

    8 200 8.625 0.3220 7.9810

    10 250 10.75 0.3650 10.0200

    12 300 12.75 0.4060 11.9380

    14 350 14 0.4380 13.1240

    16 400 16 0.5000 15.0000

    18 450 18 0.5620 16.8760

    20 500 20 0.5940 18.8120

    Pipe Size

    26

  • Chapter 3

    Condenser Design

    3.1 HTC in Vertical condenser

    Heat transfer coefficient for condensation on vertical tubes is given by Nusselt theory,

    h = 1.47

    [k3LL (L v) g

    2LRe

    ]1/3for Re 30 (3.1)

    h =Re [k3LL (L v) g/2L]1/3

    1.08Re1.22 5.2 for 30 Re 1600 (3.2)

    h =Re [k3LL (L v) g/2L]1/3

    8750 + 58Pr0.5L (Re0.75 253)for Re 1600 and Pr 10 (3.3)

    Re =4

    L

    where

    =m

    ntpiD

    3.2 HTC in Horizontal Condenser

    Heat transfer coefficient for condensation on horizontal single tube or a single row of tubes isgiven by Nusselt theory,

    h = 1.52

    [k3LL (L v) g

    2LRe

    ]1/3for Re 3200 (3.4)

    Re =4

    L

    where

    =m

    ntL

    kL = thermal conductivity of condensate at average film temperatureL = density of condensate at average film temperaturev = density of vapour

    27

  • University of Mumbai CHC603 Heat Exchanger Data Book

    L = viscosity of condensate at average film temperaturem = rate of condensation at average film temperaturent = number of tubes in tube bankL = tube length

    for Nr tube rows stacked vertically,

    hNr =h

    N1/6r

    (3.5)

    for circular tube bundles used in shell-and-tube condensers,

    h = 1.52

    [k3LL (L v) g

    4L

    ]1/3(3.6)

    where,

    =m

    n2/3t L

    Average film temperature,Tf = 0.75Tw + 0.25Tsat (3.7)

    3.3 Condensation with subcooling

    Sadisivan and Lienhard equation,

    h

    hNu=

    [1 +

    (0.683 0.228

    PrL

    )

    ]1/4for PrL 0.6 (3.8)

    where,

    PrL =CpLLkL

    =CpL (Tsat Tw)

    where

    hNu = is the heat-transfer coefficient given by the basic Nusselt theory.Tsat = condensation temperatureTw = tube wall temperature = latent heat of condensation.

    3.4 Condensation with desuperheating

    h

    hNu=

    [1 +

    Cpv (Tv Tsat)

    ]1/4(3.9)

    where

    hNu = is the heat-transfer coefficient given by the basic Nusselt theory.Cpv = specific heat of vapourTsat = condensation temperatureTv = vapour temperature = latent heat of condensation.

    28

  • University of Mumbai CHC603 Heat Exchanger Data Book

    3.5 Condensation in vertical tubes with vapour down-

    flow

    The correlation of Boyko and Kruzhilin,

    h = hLo [1 + x (L v) /v]0.5 (3.10)

    where

    x = vapour weight fractionhLo = heat-transfer coefficient for total flow as liquid

    3.6 Condensation outside horizontal tubes

    McNaught developed the following simple correlation for shear-controlled condensation intube bundles:

    h

    hL= 1.26X0.78tt (3.11)

    where,

    Xtt = Lockhart-Martinelli parameter, (refer section 4.3)hL = heat-transfer coefficient for the liquid phase flowing alone through the bundle.

    (refer chapter 1)

    ************

    29

  • This page intentionally kept blank.

  • Chapter 4

    Reboiler Design

    4.1 Nucleate Boiling

    4.1.1 The Forster-Zuber correlation

    hnb = 0.00122k0.79L Cp

    0.45L

    0.49L g

    0.25c T

    0.24e P

    0.75sat

    0.50.29L 0.240.24v

    (4.1)

    where,

    hnb = nucleate boiling heat-transfer coefficient, Btu/hft2F(W/m2K)kL = liquid thermal conductivity, Btu/hftF (W/mK)CpL = liquid heat capacity, Btu/lbm F(J/kg K)L = liquid density, lbm/ft

    3(kg/m3)L = liquid viscosity, lbm/fth (kg/ms) = surface tension, lbf/ft(N/m)v = liquid density, lbm/ft

    3(kg/m3) = latent heat of vaporization, Btu/lbm (J/kg)gc = unit conversion factor = 4.17 108 lbmft/lbfh2 (1.0 kgm/Ns2)Te = Tw Tsat, F(K)Tw = tube-wall temperature,

    F(K)Tsat = saturation temperature at system pressure,

    F(K)Psat = Psat(Tw) Psat(Tsat), lbf/ft2 (Pa)Psat(T ) = vapor pressure of fluid at temperature T, lbf/ft

    2 (Pa)

    Any consistent set of units can be used with Equation - 4.1, including the English and SIunits shown above.

    4.1.2 The Mostinski correlation

    In English unit,hnb = 0.00622P

    0.69c q

    0.7Fp (4.2)

    where,

    hnb = nucleate boiling heat-transfer coefficient, Btu/hft2FPc = fluid critical pressure, psiaq = heat flux, Btu/hft2 = hnbTeFp = pressure correction factor, dimensionless

    31

  • University of Mumbai CHC603 Heat Exchanger Data Book

    In SI units,hnb = 0.00417P

    0.69c q

    0.7Fp (4.3)

    where,

    hnb = nucleate boiling heat-transfer coefficient, W/m2K

    Pc = fluid critical pressure, kPaq = heat flux, W/m2 = hnbTe

    The pressure correction factor given by:

    Fp = 2.1P 0.27r +[9 +

    (1 P 2r

    )1]P 2r (4.4)

    where, Pr = P/Pc = reduced pressure.

    4.1.3 The Cooper correlation

    In English unit same as that of equation 4.2,

    hnb = 21q0.67P 0.12r ( log10 Pr)0.55M0.5 (4.5)

    In SI unit same as that of equation 4.3,

    hnb = 55q0.67P 0.12r ( log10 Pr)0.55M0.5 (4.6)

    where M is the molecular weight of the fluid.

    4.1.4 The Stephan-Abdelsalam correlation

    Z1 =qdBkLTsat

    (4.7)

    Z2 =2LLgcdB

    (4.8)

    Z3 =gcd

    2B

    2L(4.9)

    Z4 =vL

    (4.10)

    Z5 =L vL

    (4.11)

    dB = 0.0146c

    [2gc

    g (L v)]0.5

    (4.12)

    where,

    dB = theoretical diameter of bubbles leaving surface, ft(m)c = contact angle in degreesg = gravitational acceleration, ft/h2 (m/s2)gc = 4.17 108 lbmft/lbfh2 (1.0 kgm/Ns2)

    32

  • University of Mumbai CHC603 Heat Exchanger Data Book

    L = liquid thermal diffusivity, ft2/s (m2/s)

    q Btu/hft2(W/m2)kL Btu/hftF (W/mK)Tsat R (K) lbf/ft (N/m)L, v lbm/ft3 (kg/m3) ftlbf/lbm (J/kg)1 Btu = 778 ftlbf

    The heat-transfer coefficient is given by the following equation:

    hnbdBkL

    = 0.23Z0.6741 Z0.352 Z

    0.3713 Z

    0.2974 Z

    1.735 (4.13)

    Fluid group Contact angle (c) in

    Water 45

    Hydrocarbons (including alcohols) 35

    Refrigerants (including CO2, propane, n-butane) 35

    Cryogenic fluids (including methane, ethane) 1

    4.1.5 Boiling mixtures

    The coefficient, hideal, is an average of the pure component values that is calculated as follows:

    hideal =

    [ni=1

    xihnb,i

    ](4.14)

    where hnb,i is the heat-transfer coefficient for pure component i. So heat transfer coefficientfor mixture is,

    hnb = hideal

    {1 +

    (BR hideal

    q

    )[1 exp

    ( qL

    )]}1(4.15)

    where

    BR = TD TB = boiling rangeTD = dew-point temperatureTB = bubble-point temperature = 0.0003 m/s (SI units) = 3.54 ft/h (English units)

    4.1.6 Convective effects in tube bundles

    The average boiling heat-transfer coefficient, hb, is expressed as follows:

    hb = hnbFb + hnc (4.16)

    where hnc is a heat-transfer coefficient for liquid-phase natural convection and Fb is a factorthat accounts for the effect of the thermosyphon-type circulation in the tube bundle. The

    33

  • University of Mumbai CHC603 Heat Exchanger Data Book

    bundle convection factor is correlated in terms of bundle geometry by the following empiricalequation,

    Fb = 1.0 + 0.1

    [0.785Db

    C1 (PT/Do)2Do

    1.0]0.75

    (4.17)

    where,

    Db = bundle diameter (outer tube-limit diameter)Do = tube ODPT = tube pitchC1 = 1.0 for square and rotated square layouts

    = 0.866 for triangular layouts

    For larger temperature differences, therefore, Palen suggests using a rough approximationfor hnc of 250 W/m

    2 K (44 Btu/h ft2F) for hydrocarbons and 1000 W/m2 K (176 Btu/hft2F) for water and aqueous solutions.

    4.2 Critical heat flux

    The equation for critical heat flux is generally used in the following form:

    qc = 0.149v [ggc (L v)]0.25 (4.18)

    4.2.1 Mostinski correlation

    Boiling on single tube. For English unit,

    qc = 803PcP0.35r (1 Pr)0.9 (4.19)

    where qc Btu/hft2 and Pc in psia.For SI unit,

    qc = 367PcP0.35r (1 Pr)0.9 (4.20)

    where qc W/m2 and Pc in kPa.

    For tube bundles, Palen presented the following correlation:

    qc,bundle = qc,tubeb (4.21)

    where

    qc,bundle = critical heat flux for tube bundleqc,tube = critical heat flux for a single tubeb = bundle correction factor

    = 3.1b for b < 1.0/3.1 = 0.323= 1.0 otherwise

    b = dimensionless bundle geometry parameter =piDbL

    ADb = bundle diameterA = bundle surface area = ntpiDoL for plain tubesDo = tube ODL = tube lengthnt = number of tubes in bundle

    34

  • University of Mumbai CHC603 Heat Exchanger Data Book

    4.3 Two Phase Flow

    4.3.1 Pressure drop correlations

    The Lockhart-Martinelli correlation

    The two-phase pressure gradient is expressed as,

    (Pf/L)tp = 2L (Pf/L)L (4.22)

    where

    2L = two-phase multiplier(Pf/L)L = negative pressure gradient for liquid alone(Pf/L)tp = negative two-phase pressure gradient

    The two-phase multiplier is a function of the parameter, X, which is defined as follows:

    X =

    [(Pf/L)L(Pf/L)v

    ]0.5(4.23)

    where (Pf/L)v is the pressure gradient that would occur if the vapor phase flowed alone inthe conduit.The relationship between 2L and X was given in graphical form by Lockhart andMartinelli, and subsequently expressed analytically by Chisholm as follows:

    2L = 1 +C

    X+

    1

    X2(4.24)

    The constant, C, depends on whether the flow in each phase is laminar or turbulent, as shownin Table 4.1.

    Table 4.1: Values of the Constant in Equation 4.24

    Liquid Vapour Notation ReL ReV C

    Turbulent Turbulent tt > 2000 > 2000 20

    Viscous (laminar) Turbulent vt < 1000 > 2000 12

    Turbulent Viscous (laminar) tv > 2000 < 1000 10

    Viscous (laminar) Viscous (laminar) vv < 1000 < 1000 5

    For the turbulent-turbulent case,

    Xtt =

    (1 xx

    )0.9(vL

    )0.5(Lv

    )0.1(4.25)

    where, x is vapour mass fraction.

    The Chisholm correlation

    The two-phase pressure gradient is expressed as,

    (Pf/L)tp = 2LO (Pf/L)LO (4.26)

    where,

    35

  • University of Mumbai CHC603 Heat Exchanger Data Book

    2LO = two-phase multiplier(Pf/L)LO = negative pressure gradient for liquid alone(Pf/L)tp = negative two-phase pressure gradient

    The correlation for the two-phase multiplier is the following:

    2LO = 1 +(Y 2 1){B [x (1 x)](2n)/2 + x2n} (4.27)Y =

    (Lv

    )0.5(vL

    )n/2(4.28)

    where n = 0.2314For English unit with G in units of lbm/h ft2:

    B = 1500/G (0 < Y 9.5)

    = 14250/(YG)

    (9.5 < Y 28) (4.29)= 399000/

    (Y 2G)

    (Y > 28)

    For calculations in SI units, the following conversion can be used:

    G(lbm/h ft2) 737.35G(kg/s m2)

    The Friedel correlation

    The two-phase pressure gradient is expressed in the same manner as the Chisholm method,Equation 4.26 with the following correlation for the two-phase multiplier:

    2LO = E +3.24FH

    Fr0.045We0.035(4.30)

    where,

    E = (1 x)2 + x2 (v/L)0.2314 (L/v)F = x0.78 (1 x)0.24H = (L/v)

    0.91 (v/L)0.19 (1 v/L)0.7

    Fr =G2

    gDi2tp= Froude numbar

    We =G2Digctp

    = Weber number

    Di = internal diameter of conduit

    tp = two-phase density

    For the purpose of this correlation, the two-phase density is calculated as follows:

    tp = [x/v + (1 x) /L]1 (4.31)where, x is vapour mass fraction.

    36

  • University of Mumbai CHC603 Heat Exchanger Data Book

    Slip ratio,

    SR =

    Ltp

    (4.32)

    void fraction is computed

    v =x

    x+ SR (1 x) v/L (4.33)

    Finally, the average two-phase density is computed as,

    tp = vv + (1 v) L (4.34)

    The Muller-Steinhagen and Heck(MSH) correlation

    The correlation is reformulated in the Chisholm format of Equation 4.26 with the two-phasemultiplier given by the following equation:

    2LO = Y2x3 +

    [1 + 2x

    (Y 2 1)] (1 x)1/3 (4.35)

    where x is the vapor mass fraction and Y is the Chisholm parameter (equation 4.28).

    4.4 Convective Boiling in Tubes

    4.4.1 Heat transfer coefficient

    The Chen correlation

    hb = SCHhnb + FxhL (4.36)

    where

    hb = convective boiling heat-transfer coefficienthnb = nucleate boiling heat-transfer coefficient

    SCH = (1 + 2.53 106Re1.17)1Fx = 2.35

    (X1tt + 0.213

    )0.736for (Xtt < 10)

    = 1.0 for (Xtt 10)Re = ReL (Fx)

    1.25

    The heat flux is calculated as follows:

    q = SCHhnb (Tw Tsat) + hL (Tw Tb) (4.37)

    whereas convective heat transfer coefficient, hL, can be calculated using Dittus-Boelter equa-tion,

    hL = 0.023 (kL/Di)Re0.8L Pr

    0.4L (4.38)

    37

  • University of Mumbai CHC603 Heat Exchanger Data Book

    4.4.2 Critical heat flux

    The following simple correlation for vertical thermosyphon reboilers was given by Palen

    qc = 16070(D2/L

    )0.35P 0.61c Pr

    0.25 (1 Pr) English Unit (4.39)qc = 23660

    (D2/L

    )0.35P 0.61c Pr

    0.25 (1 Pr) SI units (4.40)where

    qc = critical heat flux, Btu/h ft2 (W/m2)D = tube ID, ft (m)L = tube length, ft(m)Pr = reduced pressure in tubePc = critical pressure of fluid, psia (kPa)

    For flow in horizontal tubes, the dimensionless correlation of Merilo is recommended byHewitt et al.

    qcG

    = 5750.34H

    (L

    D

    )0.511(L vv

    )1.27(1 + Hin/)

    1.64 (4.41)

    where

    H =

    (GD

    L

    )(2L

    gcDL

    )1.58 [(L v) gD2

    gc

    ]1.05(Lv

    )6.41(4.42)

    The correlation cover the ranges 5.3 D 19.1 mm, 700 G 8100 kg/sm2, 13 L/v 21.

    4.5 Film Boiling

    4.5.1 Heat transfer coefficient

    A combined heat-transfer coefficient, ht, for both convection and radiation can be calculatedfrom the following equation:

    h4/3t = h

    4/3fb + hrh

    1/3t (4.43)

    For saturated film boiling on the outside of a single horizontal tube,

    hfbDokv

    = 0.62

    [gv (L v)D3o (+ 0.76Cp,vTe)

    kvvTe

    ]0.25(4.44)

    Here, Do is the tube OD. hr is the radiative heat-transfer coefficient calculated from thefollowing equation:

    hr =SB (T

    4w T 4sat)

    Tw Tsat (4.45)where,

    = emissivity of tube wallSB = Stefan-Boltzmann constant

    = 5.67 108 W/m2 K4 = 1.714 109 Btu/h ft2 R4If hr < hfb, Equation 4.43 can be approximated by the following explicit formula for ht:

    ht = hfb + 0.75hr (4.46)

    38

  • University of Mumbai CHC603 Heat Exchanger Data Book

    4.6 Design equations

    4.6.1 Number of nozzles

    For a tube bundle of length L and diameter Db, the number, Nn, of nozzle pairs (feed andreturn) is determined from the following empirical equation,

    Nn =L

    5Db(4.47)

    4.6.2 Shell diameter

    Vapour loading,

    VL = 2290v

    (

    L v

    )0.5(4.48)

    where

    VL = vapor loading (lbm/h ft3)v, L = vapor and liquid densities (lbm/ft

    3) = surface tension (dyne/cm)

    The dome segment area, SA, is calculated from the vapour loading as follows:

    SA =mV

    L VL (4.49)

    The segment area till semicircle is given by,

    SA =Ds8

    ( sin ) (4.50)

    = 2 cos1(

    1 2hDs

    )(4.51)

    where, Ds Shell ID and h is height of the segment. When segment exceeds semicircle thesegment area is area of circle minus area of segment whose height in the circle diameter minusheight of the given segment.

    4.7 Frictional losses in pipe

    4.7.1 Friction factor

    Reynolds number

    NRe =dv

    Friction factor in Laminar flow:

    f =16

    NRe

    39

  • University of Mumbai CHC603 Heat Exchanger Data Book

    Friction factor in turbulent flow:

    A. For smooth pipe/tubes (Turbulent)

    i) f = 0.046NRe0.2 for 50000 < NRe < 1 106

    ii) f = 0.0014 +0.125

    NRe0.32 for 3000 < NRe < 3 106

    iii) von-Karman equation

    1f/2

    = 2.5 ln(NRe

    f/8)

    + 1.75

    B. For Commercial pipes (Turbulent)

    i) Colebrook equation14f

    = 2 log

    (D

    2

    )+ 1.74

    ii) Generalised equationf = 0.3673N0.2314Re

    4.7.2 Pressure drop in pipe

    P = 4f

    (L

    d

    )v2

    2

    4.7.3 Maximum gas/vapour velocity in tubes

    For plain carbon steel tube in English unit,

    vmax =1800PM

    (4.52)

    in SI units,

    vmax =1440PM

    (4.53)

    where,

    vmax = maximum velocity, ft/s (m/s)P = gas pressure, psia(kPa)M = molecular weight of gas

    Multiply equation (4.52) or (4.53) with 1.5 for stainless steel and 0.6 for copper tube.

    4.7.4 Maximum velocity of liquids in tubes

    i. Maximum recommended velocity of water in plain carbon steel tube is 10 ft/s (3 m/s).

    ii. Multiply above value with 1.5 for stainless steel and 0.6 for copper tube.

    iii. Multiply above value with the factor

    (water/liquid) if liquid is other than water.

    40

  • University of Mumbai CHC603 Heat Exchanger Data Book

    4.7.5 Maximum velocity of two-phase flow in tubes/pipe

    English unit,

    vmax =

    4000

    tp(4.54)

    SI unit,

    vmax =

    5924

    tp(4.55)

    vmax = maximum velocity, ft/s (m/s)tp = density of two-phase mixture, lbm/ft

    3 (kg/m3)

    4.8 Design of Vertical Thermosyphon Reboiler

    Figure 4.1: Configuration of vertical thermosyphon reboiler system.

    4.8.1 Pressure balance

    PB PA = L (g/gc) (zA zB) 4f(LinDin

    )G2in2L

    (4.56)

    The subscript in refers to the inlet line to the reboiler.

    PC PB = L (g/gc)LBC 4f(LBCDt

    )G2t2L

    (4.57)

    41

  • University of Mumbai CHC603 Heat Exchanger Data Book

    The subscript t in this equation refers to the reboiler tubes.

    PD PC = Pstatic,CD Pf,CD Pacc,CD (4.58)

    Pstatic,CD = tp (g/gc)LCD (4.59)

    Pf,CD = 4f

    (LCDDt

    )G2t

    2LO

    2L(4.60)

    Pacc,CD =G2t

    L(4.61)

    Fair recommends calculating tp at a vapour weight fraction equal to one-thirds the value atthe reboiler exit using equation (4.34). where,

    =(1 xe)21 v,e +

    Lx2e

    vv,e 1

    In this equation, xe and v,e are the vapour mass fraction and the void fraction at the reboilerexit.

    Fair recommends calculating 2LO at a vapour weight fraction equal to two-thirds the valueat the reboiler exit.

    PA PD = (G2t G2ex) ( + 1)

    L 4fexLexG

    2ex

    2LO,ex

    2LDex(4.62)

    In this equation, the subscript ex designates conditions in the exit line from the reboiler.The relationship between the circulation rate and the exit vapour fraction in the reboiler

    in SI units is,

    m2i =1.234D5t L(g/gc) (LLAC tpLCD)

    2Dt

    [( + 1)

    (DtDex

    )4 1n2t

    ]

    + finLin

    (DtDin

    )5+

    (ftn2t

    )(LBC + LCD

    2LO

    )+ fexLex

    2LO,ex

    (DtDex

    )5

    (4.63)

    where,

    mi = tube-side mass flow rate (kg/s)nt = number of tubes in reboiler

    4.8.2 Sensible heating zone

    TC TBPC PB =

    (T/L)

    (P/L)(4.64)

    Tsat TAPsat PA = (T/P )sat (4.65)

    42

  • University of Mumbai CHC603 Heat Exchanger Data Book

    LBCLBC + LCD

    = (T/P )sat(T/P )sat

    (T/L)

    (P/L)

    (4.66)

    The pressure gradient in the sensible heating zone is calculated as follows:

    (P/L) = L (g/gc) + Pf,BC/L (4.67)

    The temperature gradient in the sensible heating zone is estimated as follows:

    T/L =ntpiDoUDTm

    miCpL(4.68)

    Here, UD and Tm are the overall coefficient and mean driving force, respectively, for thesensible heating zone.

    4.8.3 Mist flow limit

    Tube-side mass flux at onset of mist flow,

    Gt,mist = 1.8 106Xtt (lbm/h ft2) (4.69)Gt,mist = 2.44 103Xtt (kg/s m2) (4.70)

    ********************

    43

  • This page intentionally kept blank.

  • Part II

    Data Sheet

    45

  • 1 Heat Exchanger Specification Sheet2 Company:

    3 Location:

    4 Service of Unit:

    5 Item No.: Prepared by:

    6 Date: Rev No.: Job No.:

    7 Size mm Type Connected in parallel series

    8 Surf/unit(eff.) m2 Shells/unit Surf/shell (eff.) m2

    9 PERFORMANCE OF ONE UNIT

    10 Fluid allocation Shell Side Tube Side

    11 Fluid name

    12 Fluid quantity, Total kg/h

    13 Vapor (In/Out) kg/h

    14 Liquid kg/h

    15 Noncondensable kg/h

    16

    17 Temperature (In/Out) C

    18 Dew / Bubble point C

    19 Density kg/m3

    20 Viscosity cp

    21 Molecular wt, Vap

    22 Molecular wt, NC

    23 Specific heat kJ/(kg*C)

    24 Thermal conductivity W/(m*K)

    25 Latent heat kJ/kg

    26 Pressure mmH2O(g)

    27 Velocity m/s

    28 Pressure drop, allow./calc. mmH2O

    29 Fouling resist. (min) m2*K/W

    30 Heat exchanged kcal/h MTD corrected C

    31 Transfer rate, Service Dirty Clean W/(m2*K)

    32 CONSTRUCTION OF ONE SHELL Sketch

    33 Shell Side Tube Side

    34 Design/Test pressure kgf/cm2

    35 Design temperature C

    36 Number passes per shell

    37 Corrosion allowance mm

    38 Connections In

    39 Size/rating Out

    40 mm Intermediate

    41 Tube No. OD Tks- avg mm Length mm Pitch mm

    42 Tube type Material Tube pattern

    43 Shell ID OD mm Shell cover

    44 Channel or bonnet Channel cover

    45 Tubesheet-stationary Tubesheet-floating

    46 Floating head cover Impingement protection

    47 Baffle-crossing Type Cut(%d) Spacing: c/c mm

    48 Baffle-long Seal type Inlet mm

    49 Supports-tube U-bend Type

    50 Bypass seal Tube-tubesheet joint groove/expand

    51 Expansion joint Type

    52 RhoV2-Inlet nozzle Bundle entrance Bundle exit kg/(m*s2)

    53 Gaskets - Shell side Tube Side

    54 Floating head

    55 Code requirements TEMA class

    56 Weight/Shell Filled with water Bundle kg

    57 Remarks

    58

    59

    60

    61

    62

  • Company PLATE-AND-FRAME HEAT EXCHANGER DATA SHEET (SI UNITS)

    PROCESS

    Engineering contractor

    PO No.: Doc. No.: Page 1 of

    Customer: Vendor:

    Project: Order/enq. No.:

    Location: Model:

    Item No.: Serial No.:

    Service:

    01 CASE HOT SIDE COLD SIDE

    02 Fluid

    03 Total flow (kg/s)

    04 Flow per exchanger (kg/s)

    05 Design temperature (max.) ( C)

    06 Minimum design metal temp. ( C)

    07 Design pressure [kPa (ga)]

    08 Pressure drop allow./calc.- (kPa) / /

    09 Wall temperature min./max. ( C) / /

    10 Fouling margin a (%)

    11 OPERATING DATA INLET OUTLET INLET OUTLET

    12 Liquid flow (kg/s)

    13 Vapour flow (kg/s)

    14 Non-condensables flow (kg/s)

    15 Operating temperature ( C)

    16 Operating pressure [kPa (ga)]

    17 LIQUID PROPERTIES

    18 Density (kg/m3)

    19 Specific heat capacity (kJ/kgK)

    20 Dynamic viscosity (mPas)

    21 Thermal conductivity (W/mK)

    22 Surface tension (N/m)

    23 VAPOUR PROPERTIES

    24 Density (kg/m3)

    25 Specific heat capacity (kJ/kgK)

    26 Dynamic viscosity (mPas)

    27 Thermal conductivity (W/mK)

    28 Relative molecular mass (kg/kmol)

    29 Relative molecular mass,

    non-condensables

    (kg/kmol)

    30 Dew point/bubble point ( C)

    31 Solids maximum size (mm)

    32 Solids concentration (% volume)

    33 Latent heat (kJ/kg)

    34 Critical pressure [kPa (abs)]

    35 Critical temperature ( C)

    36

    37 Total heat exchanged (kW)

    38 U a (W/m2K) Clean condition: Service:

    39 LMTD ( C) /

    40 Heat transfer area (m2)

    41 Stream heat transfer coefficient (W/m2K) a Fouling margin = [(Uclean /Uservice) 1] 100 % where U = Overall heat transfer coefficient (thermal transmittance).

    Rev. No. Revision Date Prepared by Reviewed by

    Heat Exchanger Data BookContentI Formulae, graphs and tables1 Shell and Tube Heat Exchanger1.1 Log Mean Temperature difference1.1.1 Correction factor

    1.2 Heat transfer through tubes1.3 Shell-side heat-transfer coefficient(Kern's Method)1.4 Bell's method for HTC shell side1.4.1 HTC cross flow1.4.2 Fn , tube row correction factor1.4.3 Fw , window correction factor1.4.4 Fb , bypass correction factor1.4.5 FL , Leakage correction factor

    1.5 Pressure Drop in shell1.5.1 Cross-flow zones1.5.2 Pi ideal tube bank pressure drop1.5.3 F'b , bypass correction factor for pressure drop1.5.4 F'L , leakage factor for pressure drop1.5.5 Window-zone pressure drop1.5.6 End zone pressure drop1.5.7 Total shell-side pressure drop1.5.8 Shell and bundle geometry

    1.6 Wills-Johnston Method1.6.1 Streams and flow areas1.6.2 Flow resistances1.6.3 Total shell-side pressure drop

    1.7 Fouling factor1.8 Tube data

    2 Plate Heat Exchanger2.1 Plate2.2 Heat transfer coefficient2.2.1 Number of Transfer Units (NTU)2.2.2 Correction factor, Ft

    2.3 Pressure drop2.3.1 Pressure drop in flow through plates2.3.2 Pressure drop in flow through port

    2.4 Plate sizes

    3 Condenser Design3.1 HTC in Vertical condenser3.2 HTC in Horizontal Condenser3.3 Condensation with subcooling3.4 Condensation with desuperheating3.5 Condensation in vertical tubes with vapour downflow3.6 Condensation outside horizontal tubes

    4 Reboiler Design4.1 Nucleate Boiling4.1.1 The Forster-Zuber correlation4.1.2 The Mostinski correlation4.1.3 The Cooper correlation4.1.4 The Stephan-Abdelsalam correlation4.1.5 Boiling mixtures4.1.6 Convective effects in tube bundles

    4.2 Critical heat flux4.2.1 Mostinski correlation

    4.3 Two Phase Flow4.3.1 Pressure drop correlations

    4.4 Convective Boiling in Tubes4.4.1 Heat transfer coefficient4.4.2 Critical heat flux

    4.5 Film Boiling4.5.1 Heat transfer coefficient

    4.6 Design equations4.6.1 Number of nozzles4.6.2 Shell diameter

    4.7 Frictional losses in pipe4.7.1 Friction factor4.7.2 Pressure drop in pipe4.7.3 Maximum gas/vapour velocity in tubes4.7.4 Maximum velocity of liquids in tubes4.7.5 Maximum velocity of two-phase flow in tubes/pipe

    4.8 Design of Vertical Thermosyphon Reboiler4.8.1 Pressure balance4.8.2 Sensible heating zone4.8.3 Mist flow limit

    II Data Sheet