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Superheaters: design
                       and performance
                      Understand these factors to improve operation


V Ganapathy, ABCO Industries, Abilene, Texas

Steam     superheaters are widely used in steam
generators and heat-recovery steam generators
(HRSGs). Their purpose is to raise steam temperature
from saturation conditions to the desired final
temperature, which can be as high as 1,000°F in some
cases. When used in steam turbines, superheated
steam decreases steam heat rate of the turbine and
thus improves the turbine and overall plant power
output and efficiency. Also, steam conditions at the
steam turbine exit will have little or no moisture,
depending on the pressure ratio; moisture in the last
few stages of a steam turbine can damage the turbine
blades. This article outlines some of the design
considerations     and   performance    aspects    of
superheaters, which should be of interest to plant
engineers.
Superheaters in packaged steam generators
and HRSGs- general features. Packaged steam
generators generate up to 300,000 lb/h steam, while a
few gas turbine HRSGs generate even more depending
on the gas turbine size. Steam pressure in cogeneration
and combined cycle plants typically ranges from 150 to
1,500 psig and temperature from saturation to 1,000°F
Seamless alloy steel tubes are used in superheater con-
struction. Tube sizes vary from 1.25 to 2.5 in. Com-
monly used materials are shown in Table 1.
Allowable stress values depend on actual tube wall
temperatures. Tube thickness is determined based on
this using formulae discussed in the ASME Code, Sec-
tions 1 and 8. Different designs are available for super-
heaters depending on gas/steam parameters and space
availability. The inverted loop design (Fig. 1) is widely
used in packaged boilers, while the vertical finned tube       Steam velocity inside superheater tubes ranges from
design is common in HRSGs. The horizontal tube design       50 to 140 fps depending on steam pressure, allowable
with vertical headers is used in both. Bare tubes are       pressure drop and turndown in load. Typical pressure
generally used in packaged steam generators, where gas      drop in industrial applications ranges from 10 to 70 psi
temperatures are high (typically 1,500-2,200°F) and         depending on size, pressure and load turndown
tube wall temperature is a concern.                         conditions. In utility boilers, where multiple stage
However, in gas turbine HRSGs, finned superheaters          superheaters are used, pressure drop will be much
are used. Gas inlet temperature is generally low, on the    higher, say 150-200 psi. If the superheater has to oper-
order of 900-1,400'F, which requires a large surface        ate over a wide load range, a higher steam pressure
area. Use of finned tubes makes their design compact.
                                                            drop at full load ensures reasonable flow at lower loads.
Superheaters can be of convective or radiant design or a
combination of these in packaged boilers. Final steam       Convective and radiant superheaters in pack-
temperature may or may not be controlled. In unfired        aged boilers. Fig. 2 shows typical location of super-
and supplementary fired HRSGs, the superheaters are         heaters in a packaged boiler. Superheaters are basixally
or convective design only.


                                                                             HYDROCARBON   PROCESSING   /JULY   2001
                                                                                                                   4
which affects steam and tube wall temperatures.
                                                                  Margin of error on gas temperature estimation is much
                                                                  higher at furnace exit compared to the convective
                                                                  superheater inlet, which is located behind a screen
                                                                  section.
                                                                  • Steam temperature characteristics are different
                                                                  between convective and radiant designs. The radiant
                                                                  design absorbs more energy at lower loads, while the
                                                                  convective design absorbs more at higher loads (Fig 3).
                                                                  This is due to the increase in convective heat transfer
                                                                  rates. In large field-erected industrial or utility boilers,
                                                                  the superheater is in multistages. The combination of
                                                                  radiant and convective designs helps ensure a uniform
                                                                  steam temperature over a wide load range.
  cally classified as radiant or convective, depending on         However, when only a single-stage superheater is used-
  their location.                                                 as in packaged boilers-the radiant design is subject to
  The convective superheater is shielded away f om ther           higher steam temperatures at low loads, when flow
  furnace and the flame, while the radiant design is              distribution on both gas and steam sides is poor. If at
  located at the furnace exit, facing the flame and direct        100% load the steam pressure drop is, say, 30 psi, at
  radiation from the furnace. While the radiant design            25% load it will be hardly 2 psi, which cannot ensure
  requires less heating surface (due to the higher LMTD           good steam flow distribution in various elements. The
  and direct radiant energy contribution), it has several         same is true of flow distribution on the gas side at low
  drawbacks compared to the convective design.                    loads due to the low gas velocity. Thus, this fact, along
  • A convective superheater is located behind a screen           with lack of steam temperature control methods, can
  section, which helps to cool gases from the furnace and         result in overheating and possible tube failure.
  also ensures that a uniform gas mixture enters the              Creep analysis using Larson-Miller parameter methods
  superheater. This permits the designer to predict               may be done to estimate life at various tube wall
  superheater performance with much higher reliability            temperatures and remaining superheater life, based on
  and accuracy. The furnace is a difficult section to             number of hours of operation at each load. The con-
  evaluate due to the complexity of the combustion                vective design, on the other hand, is located in a much
  process. Adding to the difficulty is use of varying excess      cooler gas temperature zone-1,600-1,800°F, compared
  air and flue gas recirculation rates (used for NOX control)     to 2,200-2,400°F for the radiant design. Hence, it runs
  for different fuels at different loads, which in turn affects   much cooler and tube wall temperatures are also more
  flame temperature and its temperature distribution              accurately predictable. At lower loads, gas temperature
  along the flame.                                                to the superheater will be lower as well as the heat
Only models based on experience of similar units could be         transfer rate and tube wall temperature. Thus,
considered reasonable since no simple mathematical                convective superheater life is longer than the radiant
formulae can accurately predict the furnace energy                design.
balance. Hence actual furnace exit gas temperature can            • Steam turbines usually require a constant steam
easily be off from predicted values by 50-150°F, which            temperature. Lower steam temperatures affect the heat
affects the radiant superheater performance significantly.        rate; however, this occurs at a lower load with
If act ual gas temperature is higher than predicted, we           convective designs and, hence, loss in output is not sig-
have tube overheating problems and if it is lower, we may         nificant. Oversizing convective superheaters may also
not obtain the desired steam temperature.                         be done to ensure that desired steam temperature is
  • The radiant superheater is located in a region where          achieved over a wider load range if necessary-say from
  the flue gases make a turn and, hence, the gas flow             about 30% to 100%.
  distribution pattern over the tubes is difficult to predict     • With convective designs, it is possible to have twostage
  at various loads.                                               designs with interstage attemperation. With radiant
  • The radiant superheater receives direct radiation from        designs in packaged boilers, single stages are generally
  the furnace, which in turn depends on exit gas tem-             used, which causes concerns with steam temperature
  perature. Again, if we do not predict exit gas temperature      fluctuations and tube overheating.
  accurately, radiant heat flux will be off from estimates,

                                                                   42     HYDROCARBON PROCESSING ' JULY 2001
Steam temperature control methods in super-
heaters. Generally, steam temperature is maintained
constant from about 60% to 100% load. Interstage
attemperation or spray water injection (Fig. 4) is done to
achieve the desired final steam temperature. Water
injected should be demineralized since solids contained in
feed water can get carried into the superheater and
turbine and selective deposition can occur.
Salt deposits in the superheater can result in tube
overheating. Turbine blade deposition is a big concern
with turbine maintenance engineers since it reduces
power output, restricts flow passages, causes corrosion
and can damage the blades. Hence, high steam purity on
the order of 20-50 ppb is generally desired in high steam
temperature applications. Good steam drum internals
using a combination of baffles and Chevron separators
can achieve the desired steam purity.
In case demineralized water is not available for spray,
some of the steam may be condensed using a heat
exchanger as shown in Fig. 4, and the condensate is
sprayed into the desuperheater. Steam flow through the
exchanger and superheater should be balanced in the
parallel paths either by using flow restrictions, control
valves in each parallel path or by raising the exchanger
level to provide additional head for control. Feed water
from the economizer cools and condenses steam used for
desuperheating (Fig. 4a). In Fig. 4b, the feed water is
directly injected into the steam between the stages.
Desuperheating beyond the superheater is not rec-
                                                               of the low-pressure superheater, also known as a
ommended since moisture can be carried to the steam
                                                               reheater, are similar to those discussed previously for
turbine along with the steam if downstream mixing is not
good. Also, this method permits steam temperature in the       superheaters.
superheater to increase beyond the desired final steam
temperature and, hence, the premium on materials used          Sizing procedure. There are two basic types of cal-
for superheater construction will be high.                     culations with any heat transfer surface. One is the
There are several other methods used for steam                 design calculation, in which the objective is to arrive at
temperature control such as varying excess air, tilting        the surface area, tube layout, steam and gas-side
burners, recirculating flue gases, etc., but in packaged       pressure drops, and preliminary material selection. The
boilers and HRSGs, interstage attemperation is generally       off-design performance calculation tells us how the
used.                                                          same surface will perform at other gas or steam
                                                               conditions. There is only one design calculation, but
Superheaters in HRSGs. The basic difference in                 performance could be checked at different loads or off-
superheater design used in steam generators and                design conditions. A computer program is generally
                                                               used for these purposes since the calculations are quite
HRSGs is that in HRSGs, as mentioned earlier, finned
                                                               involved and iterative. Only after these two types of
tubes may be used to make the design compact. The
                                                               calculations are completed can we say that the engi-
large duty and large gas-to-steam flow ratio coupled
                                                               neering process is over.
with the low LMTD necessitates this. However, while
                                                                   Here's the energy balance equation for a
selecting finned tubes, a low fin density should be used
                                                                   superheater. Total energy absorbed by the
conside ring the low steam side heat transfer coefficient
                                                                   superheater is:
inside the tubes. The heat transfer coefficient due to
superheated steam flow is small, on the order of 150-             Qs = Ws(hs2 - hsl) = Qc + Qn + Qr (1)
300 Btu/ft2h°F, depending on steam flow, pressure,                 Relating this to the gas temperature drop:
temperature and tube size.                                        (Qs - Qr) = Qn + Qc = US∆ = Wg(hgl - hg2)
                                                                                           T                                (2)
A large fin area would only increase heat flux inside the      External radiation, Qr, is generally absent in convective
tubes, tube wall temperature and possibly gas pressure         type designs. Also, if a screen section is used, Qr gets
drop as discussed in an earlier article.' Note that the gas    absorbed in about four to six rows of screen tubes
side heat transfer coefficient is lower with higher fin        depending on tube spacing.
density or surface area. Hence, it is misleading to evaluate      The fraction of energy, F, absorbed in each row is
finned superheater designs based on surface areas.' In         given by:
large gas turbines, steam after expanding from the steam
turbine is again reheated in the HRSG to generate                   F=    3.14(d / 2St) - (d / St) [sin - 1(d / St) +

additional power. Design considerations                             √{(St /d)2 –1} - (St 1d)]         (3)

                                                                    If S/d = 4, then F = 0.361. The first row absorbs

                                                                         HYDROCARBON PROCESSING /JULY 2001              3
The procedure for determining these are well
                                                        documented. 2.3
                                                           Gas side heat transfer coefficient, hc, for finned and
                                                        bare tubes may be obtained from published charts or
                                                        equations 1.2.3 as also the procedure for determining hn. A
                                                        simplified approach to estimating hi is:

                                                           h i = 2.33w     0.8 c   / di 1.8   (5)                      (
                                                        where factor C is given in Table 2.
                                                            Once the duty Qs are known and resultant gas and
                                                        steam temperatures at the superheater inlet and exit,
                                                        then the LMTD may be estimated. Knowing the various
                                                        gas and steam side heat transfer coefficients, fouling
0.361 of the external radiation. The second
                                                        factors and tubes sizes, overall heat transfer coefficient,
row absorbs: (1- 0.361)0.361= 0.23 and so
                                                        U, is obtained. Surface area, S, is determined as shown
on. If (S / d) were smaller, fewer rows would
                                                        previously from Eq. 2. Then the tubes are laid out and
be required to absorb the direct radiation. Qr
                                                        the gas/steam side pressure drops are evaluated. Several
is estimated from gas emissivity and furnace
                                                        factors such as tube size, number of streams carrying the
exit gas temperature.
                                                        steam flow, tube spacing, gas mass velocity, etc., are
    Overall heat transfer coefficient is
                                                        selected based on experience.
                                                            Gas side pressure drop may be found from equations
   obtained from: 1 / U = ( A t / A i) / h i + ffi
                                                        discussed in citations 2 and 3.
   ( A t / A i ) + ffo + ( A t / A w ) d / 24Km ln(d/        Tube side pressure drop is give by:

   di) + 1 /ηh o           (4)                                ∆ = 3.36 x 10-6 fw2 Le v /di 5
                                                               P                                         (6)

for finned tubes. For bare tubes, the same                     If superheaters are of such a design (say the inverted loop
equation is used, however,                                     design in Fig. 2) that tube length in various elements is
   A t / A i = d / d i and fin effectiveness η=1 =1            different, a flow balance calculation has to be performed
Fouling factor, ffo, is typically 0.001 ft 2hF/Btu
                                                               to determine steam flow in each element. The tube with
in clean gas applications, while ffi ranges
from 0.0005 to 0.001.                                          the lowest flow is likely to have the highest tube wall
   The gas side heat transfer coefficient, ho =                temperature.
                                                            If there are, say, four elements, the following equa-
   hn + hc.
                                                        tions help evaluate flow in each.
                                                            Pressure drop across the headers is the same across
                                                        each element and from the previous equation for pressure
                                                        drop:
                                                            w1 2 RI = w22 R2 = w3 2 R3 = w4 2 R4 = M(constant) R = resistance
                                                        of each element = fLe/di5
                                                            Thus, we first determine resistance of each element
                                                        with different tube lengths, R1, R2, R3, R4. Then we can
                                                        solve for flow through each element:
                                                        w 1 + w 2 + w 3 + w 4 = known as the total steam flow is known
                                                             or

                                                        √MR, + √ MR2 +√ MR3 +√`MR4 = total flow
                                                             or
                                                        M can be obtained from the above since all resistances
                                                        are known.
                                                             Then wl, w2, w3 and w4 can be obtained.

                                                             The tube wall temperature calculations are done. In
                                                          simple terms, heat flux is first estimated:

                                                              Q = U ( t g - t s ) ] Temperature drop across the steam film is:
                                                              heat flux / hi.
Temperature drop across the fouling layer
                                                                       can be found. Tube wall temperatures at various
     inside is: heat flux x ffi.                                       locations are again evaluated. Based on both
         Then drop across the tube wall is                             design and off-design conditions, a final material
     determined by multiplying tube wall resistance,                   selection is made. One may revise the design if
     (d/24K)ln(d/di), by heat flux. All these are                      off-design performance is not up to expectations.
     added to the steam temperature to arrive at the
     tube wall temperature. This calculation may be                                                    NOMENCLATURE
     done at different tube locations using local tg,
     ts, hi and U values.                                              Af, Ai, At = area of fins, inside tube area and total tube sur-
                                                                       face area per unit length, ft 2/ft
     Off-design performance. To arrive at the off-                     C = constant for determining tube side coefficient
     design performance, one can resort to the NTU                     d, di = tube outer and inner diameters, in.
     method. 2,3 In this calculation, surface area is                  F = fraction of direct radiation absorbed
                                                                       f = friction factor inside tubes
     known and gas flow, steam flow and their inlet                    ffo, ffi = fouling factors outside and inside tubes, fth°F/Btu
     temperatures are known. It is desired to predict                   hg l, hg 2 = gas enthalpy at inlet and exit of superheater, Btu/lb
     the duty and exit gas and steam temperatures.                     hc, hn, ho = convective, nonluminous and outside heat
     This method is discussed in various textbooks                     transfer coefficients, Btu/ft 2hoF
     2,3 and will not be explained here. Based on                      hsl, hs2 = steam enthalpy at superheater inlet and exit, Btu/lb
     actual     gas/steam     flow   conditions,   an                  K= tube thermal conductivity, Btu/fth°F
                                                                       Le = tube effective length, ft
     estimation of U is done. Using the NTU method,                    M = a constant
     superheater duty                                                  Qc, Qn, Qr, Qs = energy due to convection, nonluminous heat
                     V Ganapathy is a heat transfer specialist at      transfer, direct radiation and that absorbed by steam, Btu/h
                     ABCO Industries, Abilene, Texas, a                S = surface area, ft 2
                     subsidiary of Peerless Manufacturing, Dallas.     Tg, is = local gas and steam temperatures, °F
                     He has a bachelors degree in mechanical
                     engineering from I.I.T., Madras, India, and a     Wg, WS = gas and steam flow, lb/h
                     masters degree from Madras University. At         w = steam flow per tube, lb/h
                     ABCO, Mr. Ganapathy is responsible for
                     steam generator, HRSG and waste heat              ∆T = log-mean temperature difference, °F
                     boiler process and thermal engineering
                     functions, and has 30 years of experience in      ∆P = pressure drop inside tubes, p si
                     this field. He has authored over 250 arti
                                                                       v = steam specific volume, ft 3/lb
cles on boilers and related subjects, written four books and           η = fin effectiveness
contributed several chapters to the Handbook of Engineering Cal-
                                                                                          LITERATURE CITED
culations and the Encyclopedia of Chemical Processing and Design. He   1
                                                                           Ganapathy, V, "Evaluate extended surface exchangers carefully,"
can be reached via e-mail. vganapathy@abcoboilers.com.                 Hydrocarbon Processing, October 1990.
                                                                       2Ganapathy, V, Steam. Plant Calculations Manual, Marcel Dekker, New York,
                                                                       1994. s Ganapathy, V, Waste Heat Boiler Deskbook, Fairmont Press, Atlanta,
                                                                       1991.

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Superheaters Design & Performance Factors Improve Steam Plant Efficiency

  • 1. Superheaters: design and performance Understand these factors to improve operation V Ganapathy, ABCO Industries, Abilene, Texas Steam superheaters are widely used in steam generators and heat-recovery steam generators (HRSGs). Their purpose is to raise steam temperature from saturation conditions to the desired final temperature, which can be as high as 1,000°F in some cases. When used in steam turbines, superheated steam decreases steam heat rate of the turbine and thus improves the turbine and overall plant power output and efficiency. Also, steam conditions at the steam turbine exit will have little or no moisture, depending on the pressure ratio; moisture in the last few stages of a steam turbine can damage the turbine blades. This article outlines some of the design considerations and performance aspects of superheaters, which should be of interest to plant engineers. Superheaters in packaged steam generators and HRSGs- general features. Packaged steam generators generate up to 300,000 lb/h steam, while a few gas turbine HRSGs generate even more depending on the gas turbine size. Steam pressure in cogeneration and combined cycle plants typically ranges from 150 to 1,500 psig and temperature from saturation to 1,000°F Seamless alloy steel tubes are used in superheater con- struction. Tube sizes vary from 1.25 to 2.5 in. Com- monly used materials are shown in Table 1. Allowable stress values depend on actual tube wall temperatures. Tube thickness is determined based on this using formulae discussed in the ASME Code, Sec- tions 1 and 8. Different designs are available for super- heaters depending on gas/steam parameters and space availability. The inverted loop design (Fig. 1) is widely used in packaged boilers, while the vertical finned tube Steam velocity inside superheater tubes ranges from design is common in HRSGs. The horizontal tube design 50 to 140 fps depending on steam pressure, allowable with vertical headers is used in both. Bare tubes are pressure drop and turndown in load. Typical pressure generally used in packaged steam generators, where gas drop in industrial applications ranges from 10 to 70 psi temperatures are high (typically 1,500-2,200°F) and depending on size, pressure and load turndown tube wall temperature is a concern. conditions. In utility boilers, where multiple stage However, in gas turbine HRSGs, finned superheaters superheaters are used, pressure drop will be much are used. Gas inlet temperature is generally low, on the higher, say 150-200 psi. If the superheater has to oper- order of 900-1,400'F, which requires a large surface ate over a wide load range, a higher steam pressure area. Use of finned tubes makes their design compact. drop at full load ensures reasonable flow at lower loads. Superheaters can be of convective or radiant design or a combination of these in packaged boilers. Final steam Convective and radiant superheaters in pack- temperature may or may not be controlled. In unfired aged boilers. Fig. 2 shows typical location of super- and supplementary fired HRSGs, the superheaters are heaters in a packaged boiler. Superheaters are basixally or convective design only. HYDROCARBON PROCESSING /JULY 2001 4
  • 2. which affects steam and tube wall temperatures. Margin of error on gas temperature estimation is much higher at furnace exit compared to the convective superheater inlet, which is located behind a screen section. • Steam temperature characteristics are different between convective and radiant designs. The radiant design absorbs more energy at lower loads, while the convective design absorbs more at higher loads (Fig 3). This is due to the increase in convective heat transfer rates. In large field-erected industrial or utility boilers, the superheater is in multistages. The combination of radiant and convective designs helps ensure a uniform steam temperature over a wide load range. cally classified as radiant or convective, depending on However, when only a single-stage superheater is used- their location. as in packaged boilers-the radiant design is subject to The convective superheater is shielded away f om ther higher steam temperatures at low loads, when flow furnace and the flame, while the radiant design is distribution on both gas and steam sides is poor. If at located at the furnace exit, facing the flame and direct 100% load the steam pressure drop is, say, 30 psi, at radiation from the furnace. While the radiant design 25% load it will be hardly 2 psi, which cannot ensure requires less heating surface (due to the higher LMTD good steam flow distribution in various elements. The and direct radiant energy contribution), it has several same is true of flow distribution on the gas side at low drawbacks compared to the convective design. loads due to the low gas velocity. Thus, this fact, along • A convective superheater is located behind a screen with lack of steam temperature control methods, can section, which helps to cool gases from the furnace and result in overheating and possible tube failure. also ensures that a uniform gas mixture enters the Creep analysis using Larson-Miller parameter methods superheater. This permits the designer to predict may be done to estimate life at various tube wall superheater performance with much higher reliability temperatures and remaining superheater life, based on and accuracy. The furnace is a difficult section to number of hours of operation at each load. The con- evaluate due to the complexity of the combustion vective design, on the other hand, is located in a much process. Adding to the difficulty is use of varying excess cooler gas temperature zone-1,600-1,800°F, compared air and flue gas recirculation rates (used for NOX control) to 2,200-2,400°F for the radiant design. Hence, it runs for different fuels at different loads, which in turn affects much cooler and tube wall temperatures are also more flame temperature and its temperature distribution accurately predictable. At lower loads, gas temperature along the flame. to the superheater will be lower as well as the heat Only models based on experience of similar units could be transfer rate and tube wall temperature. Thus, considered reasonable since no simple mathematical convective superheater life is longer than the radiant formulae can accurately predict the furnace energy design. balance. Hence actual furnace exit gas temperature can • Steam turbines usually require a constant steam easily be off from predicted values by 50-150°F, which temperature. Lower steam temperatures affect the heat affects the radiant superheater performance significantly. rate; however, this occurs at a lower load with If act ual gas temperature is higher than predicted, we convective designs and, hence, loss in output is not sig- have tube overheating problems and if it is lower, we may nificant. Oversizing convective superheaters may also not obtain the desired steam temperature. be done to ensure that desired steam temperature is • The radiant superheater is located in a region where achieved over a wider load range if necessary-say from the flue gases make a turn and, hence, the gas flow about 30% to 100%. distribution pattern over the tubes is difficult to predict • With convective designs, it is possible to have twostage at various loads. designs with interstage attemperation. With radiant • The radiant superheater receives direct radiation from designs in packaged boilers, single stages are generally the furnace, which in turn depends on exit gas tem- used, which causes concerns with steam temperature perature. Again, if we do not predict exit gas temperature fluctuations and tube overheating. accurately, radiant heat flux will be off from estimates, 42 HYDROCARBON PROCESSING ' JULY 2001
  • 3. Steam temperature control methods in super- heaters. Generally, steam temperature is maintained constant from about 60% to 100% load. Interstage attemperation or spray water injection (Fig. 4) is done to achieve the desired final steam temperature. Water injected should be demineralized since solids contained in feed water can get carried into the superheater and turbine and selective deposition can occur. Salt deposits in the superheater can result in tube overheating. Turbine blade deposition is a big concern with turbine maintenance engineers since it reduces power output, restricts flow passages, causes corrosion and can damage the blades. Hence, high steam purity on the order of 20-50 ppb is generally desired in high steam temperature applications. Good steam drum internals using a combination of baffles and Chevron separators can achieve the desired steam purity. In case demineralized water is not available for spray, some of the steam may be condensed using a heat exchanger as shown in Fig. 4, and the condensate is sprayed into the desuperheater. Steam flow through the exchanger and superheater should be balanced in the parallel paths either by using flow restrictions, control valves in each parallel path or by raising the exchanger level to provide additional head for control. Feed water from the economizer cools and condenses steam used for desuperheating (Fig. 4a). In Fig. 4b, the feed water is directly injected into the steam between the stages. Desuperheating beyond the superheater is not rec- of the low-pressure superheater, also known as a ommended since moisture can be carried to the steam reheater, are similar to those discussed previously for turbine along with the steam if downstream mixing is not good. Also, this method permits steam temperature in the superheaters. superheater to increase beyond the desired final steam temperature and, hence, the premium on materials used Sizing procedure. There are two basic types of cal- for superheater construction will be high. culations with any heat transfer surface. One is the There are several other methods used for steam design calculation, in which the objective is to arrive at temperature control such as varying excess air, tilting the surface area, tube layout, steam and gas-side burners, recirculating flue gases, etc., but in packaged pressure drops, and preliminary material selection. The boilers and HRSGs, interstage attemperation is generally off-design performance calculation tells us how the used. same surface will perform at other gas or steam conditions. There is only one design calculation, but Superheaters in HRSGs. The basic difference in performance could be checked at different loads or off- superheater design used in steam generators and design conditions. A computer program is generally used for these purposes since the calculations are quite HRSGs is that in HRSGs, as mentioned earlier, finned involved and iterative. Only after these two types of tubes may be used to make the design compact. The calculations are completed can we say that the engi- large duty and large gas-to-steam flow ratio coupled neering process is over. with the low LMTD necessitates this. However, while Here's the energy balance equation for a selecting finned tubes, a low fin density should be used superheater. Total energy absorbed by the conside ring the low steam side heat transfer coefficient superheater is: inside the tubes. The heat transfer coefficient due to superheated steam flow is small, on the order of 150- Qs = Ws(hs2 - hsl) = Qc + Qn + Qr (1) 300 Btu/ft2h°F, depending on steam flow, pressure, Relating this to the gas temperature drop: temperature and tube size. (Qs - Qr) = Qn + Qc = US∆ = Wg(hgl - hg2) T (2) A large fin area would only increase heat flux inside the External radiation, Qr, is generally absent in convective tubes, tube wall temperature and possibly gas pressure type designs. Also, if a screen section is used, Qr gets drop as discussed in an earlier article.' Note that the gas absorbed in about four to six rows of screen tubes side heat transfer coefficient is lower with higher fin depending on tube spacing. density or surface area. Hence, it is misleading to evaluate The fraction of energy, F, absorbed in each row is finned superheater designs based on surface areas.' In given by: large gas turbines, steam after expanding from the steam turbine is again reheated in the HRSG to generate F= 3.14(d / 2St) - (d / St) [sin - 1(d / St) + additional power. Design considerations √{(St /d)2 –1} - (St 1d)] (3) If S/d = 4, then F = 0.361. The first row absorbs HYDROCARBON PROCESSING /JULY 2001 3
  • 4. The procedure for determining these are well documented. 2.3 Gas side heat transfer coefficient, hc, for finned and bare tubes may be obtained from published charts or equations 1.2.3 as also the procedure for determining hn. A simplified approach to estimating hi is: h i = 2.33w 0.8 c / di 1.8 (5) ( where factor C is given in Table 2. Once the duty Qs are known and resultant gas and steam temperatures at the superheater inlet and exit, then the LMTD may be estimated. Knowing the various gas and steam side heat transfer coefficients, fouling 0.361 of the external radiation. The second factors and tubes sizes, overall heat transfer coefficient, row absorbs: (1- 0.361)0.361= 0.23 and so U, is obtained. Surface area, S, is determined as shown on. If (S / d) were smaller, fewer rows would previously from Eq. 2. Then the tubes are laid out and be required to absorb the direct radiation. Qr the gas/steam side pressure drops are evaluated. Several is estimated from gas emissivity and furnace factors such as tube size, number of streams carrying the exit gas temperature. steam flow, tube spacing, gas mass velocity, etc., are Overall heat transfer coefficient is selected based on experience. Gas side pressure drop may be found from equations obtained from: 1 / U = ( A t / A i) / h i + ffi discussed in citations 2 and 3. ( A t / A i ) + ffo + ( A t / A w ) d / 24Km ln(d/ Tube side pressure drop is give by: di) + 1 /ηh o (4) ∆ = 3.36 x 10-6 fw2 Le v /di 5 P (6) for finned tubes. For bare tubes, the same If superheaters are of such a design (say the inverted loop equation is used, however, design in Fig. 2) that tube length in various elements is A t / A i = d / d i and fin effectiveness η=1 =1 different, a flow balance calculation has to be performed Fouling factor, ffo, is typically 0.001 ft 2hF/Btu to determine steam flow in each element. The tube with in clean gas applications, while ffi ranges from 0.0005 to 0.001. the lowest flow is likely to have the highest tube wall The gas side heat transfer coefficient, ho = temperature. If there are, say, four elements, the following equa- hn + hc. tions help evaluate flow in each. Pressure drop across the headers is the same across each element and from the previous equation for pressure drop: w1 2 RI = w22 R2 = w3 2 R3 = w4 2 R4 = M(constant) R = resistance of each element = fLe/di5 Thus, we first determine resistance of each element with different tube lengths, R1, R2, R3, R4. Then we can solve for flow through each element: w 1 + w 2 + w 3 + w 4 = known as the total steam flow is known or √MR, + √ MR2 +√ MR3 +√`MR4 = total flow or M can be obtained from the above since all resistances are known. Then wl, w2, w3 and w4 can be obtained. The tube wall temperature calculations are done. In simple terms, heat flux is first estimated: Q = U ( t g - t s ) ] Temperature drop across the steam film is: heat flux / hi.
  • 5. Temperature drop across the fouling layer can be found. Tube wall temperatures at various inside is: heat flux x ffi. locations are again evaluated. Based on both Then drop across the tube wall is design and off-design conditions, a final material determined by multiplying tube wall resistance, selection is made. One may revise the design if (d/24K)ln(d/di), by heat flux. All these are off-design performance is not up to expectations. added to the steam temperature to arrive at the tube wall temperature. This calculation may be NOMENCLATURE done at different tube locations using local tg, ts, hi and U values. Af, Ai, At = area of fins, inside tube area and total tube sur- face area per unit length, ft 2/ft Off-design performance. To arrive at the off- C = constant for determining tube side coefficient design performance, one can resort to the NTU d, di = tube outer and inner diameters, in. method. 2,3 In this calculation, surface area is F = fraction of direct radiation absorbed f = friction factor inside tubes known and gas flow, steam flow and their inlet ffo, ffi = fouling factors outside and inside tubes, fth°F/Btu temperatures are known. It is desired to predict hg l, hg 2 = gas enthalpy at inlet and exit of superheater, Btu/lb the duty and exit gas and steam temperatures. hc, hn, ho = convective, nonluminous and outside heat This method is discussed in various textbooks transfer coefficients, Btu/ft 2hoF 2,3 and will not be explained here. Based on hsl, hs2 = steam enthalpy at superheater inlet and exit, Btu/lb actual gas/steam flow conditions, an K= tube thermal conductivity, Btu/fth°F Le = tube effective length, ft estimation of U is done. Using the NTU method, M = a constant superheater duty Qc, Qn, Qr, Qs = energy due to convection, nonluminous heat V Ganapathy is a heat transfer specialist at transfer, direct radiation and that absorbed by steam, Btu/h ABCO Industries, Abilene, Texas, a S = surface area, ft 2 subsidiary of Peerless Manufacturing, Dallas. Tg, is = local gas and steam temperatures, °F He has a bachelors degree in mechanical engineering from I.I.T., Madras, India, and a Wg, WS = gas and steam flow, lb/h masters degree from Madras University. At w = steam flow per tube, lb/h ABCO, Mr. Ganapathy is responsible for steam generator, HRSG and waste heat ∆T = log-mean temperature difference, °F boiler process and thermal engineering functions, and has 30 years of experience in ∆P = pressure drop inside tubes, p si this field. He has authored over 250 arti v = steam specific volume, ft 3/lb cles on boilers and related subjects, written four books and η = fin effectiveness contributed several chapters to the Handbook of Engineering Cal- LITERATURE CITED culations and the Encyclopedia of Chemical Processing and Design. He 1 Ganapathy, V, "Evaluate extended surface exchangers carefully," can be reached via e-mail. vganapathy@abcoboilers.com. Hydrocarbon Processing, October 1990. 2Ganapathy, V, Steam. Plant Calculations Manual, Marcel Dekker, New York, 1994. s Ganapathy, V, Waste Heat Boiler Deskbook, Fairmont Press, Atlanta, 1991.