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01 POWER ISLAND / 01 CCPP / V. Ganapathy-Industrial Boilers and HRSG-Design (2003)

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FIGURE 8.27 Effect of gas pressure on heat transfer—flow inside tubes. (From Ref. 1.)

Copyright © 2003 Marcel Dekker, Inc.

FIGURE 8.28 Effect of gas pressure on heat transfer—flow outside tubes. (From Ref. 1.)

Copyright © 2003 Marcel Dekker, Inc.

hydrogen plant is cooled in a waste heat boiler, whereas in case 2, flue gas in an incineration plant is cooled. Maximum allowable heat flux is 100,000 Btu=ft2 h.

Case 1. Reformed gas. Flow ¼ 100,000 lb=h; gas pressure ¼ 300 psig; gas analysis (vol%):

CO2 ¼ 5; H2O ¼ 30; N2 ¼ 0:1; H2 ¼ 52; CH4 ¼ 2:9; CO ¼ 10.

Case 2. Flue gas. Flow ¼ 100,000 lb=h; gas pressure ¼ atmospheric; gas analysis (vol%):

CO2 ¼ 7; H2O ¼ 12; N2 ¼ 75; O2 ¼ 6.

Steam is generated at 500 psig using 230 F feedwater. Blowdown ¼ 2%. Use fouling factors of 0.001 on both gas and steam sides. Tubes are 1.5 in. OD and 1.14 in. ID. Material is T11 for reformed gas boiler and carbon steel for flue gas boiler. Saturation temperature is 470 F.

A:

Calculations were done using the procedure discussed in Q8.10. The results are presented in Table 8.45. The following points may be noted:

The boiler is much smaller when the gas pressure is higher because of the high gas density.

The heat transfer coefficient is much higher for the reformed gas owing to the presence of hydrogen and water vapor. The heat flux is also very high compared to that in the flue gas boiler.

TABLE 8.45 Effect of Gas Analysis and Pressure on Design of

Fire Tube Boiler

Item

Reformed gas

Flue gas

 

 

 

Gas flow, lb=h

100,000

100,000

Gas inlet temp, F

1650

1650

Gas exit temp, F

650

650

Gas pressure, psia

315

15

Duty, MM Btu=h

70.00

28.85

Steam generation, lb=h

69,310

28,570

Gas pressure drop, in.WC

9

5

Heat flux, Btu=ft2 h

92,200

12,300

Surface area, ft2

1566

4266

No. of tubes

350

1300

Length, ft

15

11

Heat transfer coeff, U

87

13.4

Max gas velocity, ft=s

68

165

Tube wall temp, F

653

498

Copyright © 2003 Marcel Dekker, Inc.

TABLE 8.46 Composition of Typical Waste Gases

 

 

 

 

 

 

 

 

 

vol% component

 

 

 

 

Waste gasa

Temp ( C)

 

 

 

 

 

 

 

 

 

 

 

 

Pressure (psig)

 

N2

NO

H2O O2

SO2

SO3 CO2

CO

CH4

H2S

H2

NH3 HCL

1

300–1000

1

80

 

 

10

10

 

 

 

 

 

 

2

250–500

1

81

 

 

11

1

7

 

 

 

 

 

3

250–850

3–10

66

9

19

6

 

 

 

 

 

 

 

4

200–1100

1

70

 

18

3

 

9

 

 

 

 

 

5

300–1100

30–50

0.5

 

37

 

 

6

8

5.5

 

43

 

6

200–500

200–450

20

 

 

 

 

 

 

 

 

60

20

7

100–600

1

75

 

7

15

 

3

 

 

 

 

 

8

175–1000

1

72

 

10

6

 

12

 

 

 

 

trace

9

250–1350

1

76

 

8

4

 

7

 

 

 

 

5

10

150–1000

1

73

 

20

2

 

5

 

 

 

 

 

11

300–1450

1.5

55

 

23

 

6

6

3

 

3

4

 

a1, Raw sulfur gases; 2, SO3 gases after converter; 3, nitrous gases; 4, reformer flue gases; 5, reformed gas; 6, synthesis gas; 7, gas turbine exhaust; 8, MSW incinerator exhaust; 9, chlorinated plastics incineration; 10, fume or VOC incinerator exhaust; 11, sulfur condenser effluent.

Copyright © 2003 Marcel Dekker, Inc.

The tube wall temperature is also higher with reformed gas. Hence steamside fouling should be low in these boilers.

It is obvious that gas analysis and pressure play a significant role in the design of boilers. Table 8.46 gives the analysis and gas pressure for typical waste gas streams.

NOMENCLATURE

ASurface area, ft2

A ; A

; A ; A

o

Fin, total, inside, and obstruction surface areas, ft2=ft

f t

i

Area of tube wall, ft2=ft

A

 

 

w

 

 

 

BFactor used in Grimson’s correlation

bFin thickness, in.

CFactor used to estimate heat transfer coefficient

Cp

Specific heat, Btu=lb F; subscripts g; w; m stand for gas, water,

 

and mixture

C1–C6

Factors used in heat transfer and pressure drop calculations for

 

finned tubes

DExchanger diameter, in.

d; di

Tube outer and inner diameter, in.

eEscalation factor used in life-cycle costing calculations; base of natural logarithm

EEfficiency of HRSG or fins

fFrequency, Hz or cps; subscripts a; e; n stand for acoustic, vortex shedding, and natural

ff

Fouling factor, ft2 h F=Btu; subscripts i and o stand for inside

 

and outside

FFactor used in the estimation of outside heat transfer coefficient and in the estimation of capitalized costs

GGas mass velocity, lb=ft2 h

hFin height, in.

hc

Convective heat transfer coefficient, Btu=ft2 h F

hi; ho

Heat transfer coefficients inside and outside tubes, Btu=ft2 h F

hlf

Heat loss factor, fraction

hN

Nonluminous heat transfer coefficient, Btu=ft2 h F

Dh

Change in enthalpy, Btu=lb

iInterest rate

kThermal conductivity, Btu=ft h F or Btu in.=ft2 h F; subscript m

 

stands for mixture

Km

Metal thermal conductivity, Btu=ft h F

K1; K2

Constants

Copyright © 2003 Marcel Dekker, Inc.

LLength, ft; thickness of insulation, in.; or beam length

Le

Equivalent thickness of insulation, in.

mFactor used in Eq. (47, 51)

Mc

Water equivalent, Btu= F

Me

Weight of tube, lb=ft

MW

Molecular weight

nNumber of fins per inch

NConstant used in Grimson’s correlation; also number of tubes

Nu

Nusselt number

NTU

Number of transfer units

PTerm used in temperature cross-correction

Pw; Pc

Partial pressure of water vapor and carbon dioxide

Pr

Prandtl number

QEnergy transferred, Btu=h; heat flux, Btu=ft2 h

qHeat flux, heat loss, Btu=ft2 h

q

c

Critical heat flux, Btu=ft2 h

RThermal resistance, ft2 h F=Btu; subscripts i; o, and t stand for inside, outside, and total

Re

Reynolds number

Rm

Metal thermal resistance, ft2 h F=Btu

SFin clearance, in.; Strouhal number; surface area, ft2

ST ; SL

Transverse and longitudinal pitch, in.

tFluid temperature, F; subscripts a; s; b stand for ambient,

 

surface, fin base

tf

Fin tip temperature, F

tm

Metal temperature, F

tsat

Saturation temperature, F

TAbsolute temperature, K or R; subscripts g and w stand for gas and wall

DT

Log-mean temperature difference, F

UOverall heat transfer coefficient, Btu=ft2 h F

VFluid velocity, ft=s or ft=min

Vs

Sonic velocity, ft=s

WFluid flow, lb=h; subscripts g; s; w stand for gas, steam, and

water

wFlow per tube, lb=h

xSteam quality, fraction

yVolume fraction of gas

eEffectiveness factor

ec; ew; eg

Emissivity of CO2, water, gas emissivity

De

Emissivity correction term

Copyright © 2003 Marcel Dekker, Inc.

ZFin effectiveness

m

Viscosity, lb=ft h; subscript m stands for mixture

rgas density, lb=cu ft

lwavelength, ft

nratio of specific heats

REFERENCES

1.V Ganapathy. Applied Heat Transfer. Tulsa, OK: PennWell Books, 1982.

2.DQ Kern. Process Heat Transfer. New York: McGraw-Hill, 1950.

3.V Ganapathy. Nomogram determines heat transfer coefficient for water flowing in pipes or tubes. Power Engineering, July 1977, p 69.

4.V Ganapathy. Charts simplify spiral finned tube calculations. Chemical Engineering. Apr 25, 1977, p 117.

5.V Ganapathy. Estimate nonluminous radiation heat transfer coefficients. Hydrocarbon Processing, April 1981, p 235.

6.V Ganapathy. Evaluate the performance of waste heat boilers. Chemical Engineering, Nov 16, 1981, p 291.

7.WC Turner, JF Malloy. Thermal Insulation Handbook. New York: McGraw-Hill, 1981, pp 40–45.

8.V Ganapathy. Waste Heat Boiler Deskbook. Atlanta, GA: Fairmont Press, 1991.

9.ESCOA Corp. ESCOA Fintube Manual. Tulsa, OK: ESCOA, 1979.

10.V Ganapathy. Evaluate extended surfaces carefully. Hydrocarbon Processing, October 1990, p 65.

11.V Ganapathy. Fouling—the silent heat transfer thief. Hydrocarbon Processing, October 1992, p 49.

12.V Ganapathy. HRSG temperature profiles guide energy recovery. Power, September 1988.

13.W Roshenow, JP Hartnett. Handbook of Heat Transfer. New York: McGraw-Hill, 1972, pp 13–56.

Copyright © 2003 Marcel Dekker, Inc.

9

Fans, Pumps, and Steam Turbines

9.01Determining steam rates in steam turbines; actual and theoretical steam

rates; determining steam quantity required to generate electricity; calculating enthalpy of steam after isentropic and actual expansion

9.02a Cogeneration and its advantages

9.02b Comparison of energy utilization between a cogeneration plant and a power plant

9.03Which is the better location for tapping deaeration steam, boiler or turbine?

9.04Determining fan power requirements and cost of operation; calculating

BHP (brake horsepower) of fans; actual horsepower consumed if motor efficiency is known; annual cost of operation of fan

9.05 Effect of elevation and air density on fan performance 9.06a Density of air and selection of fan capacity

9.06b How fan horsepower varies with density for forced draft fans

9.07Determining power requirements of pumps

9.08Electric and steam turbine drives for pumps; annual cost of operation using steam turbine drive; annual cost of operation with motor

9.09a How specific gravity of liquid affects pump performance; BHP required at different temperatures

9.09b How water temperature affects boiler feed pump power requirements

9.10Effect of speed on pump performance; effect of change in supply frequency

Copyright © 2003 Marcel Dekker, Inc.

9.11Effect of viscosity on pump flow, head, and efficiency

9.12Determining temperature rise of liquids through pumps

9.13Estimating minimum recirculation flow through pumps

9.14Net positive suction head (NPSH) and its determination

9.15Effect of pump suction conditions on NPSHa (available NPSH)

9.16Estimating NPSHr (required NPSH) for centrifugal pumps

9.17Determining NPSHa for reciprocating pumps

9.18Checking performance of pumps from motor readings; relating motor current consumption to pump flow and head; analyzing for pump problems

9.19Checking performance of fan from motor data; relating motor current consumption to fan flow and head

9.20Evaluating performance of pumps in series and in parallel

9.21Parameters affecting Brayton cycle efficiency

9.22How to improve the efficiency of the Brayton cycle

9.01

Q:

How is the steam rate for steam turbines determined?

A:

The actual steam rate (ASR) for a turbine is given by the equation

ASR ¼

3413

ð1Þ

Zt ðh1 h2sÞ

where ASR is the actual steam rate in lb=kWh. This is the steam flow in lb=h required to generate 1 kW of electricity. h1 is the steam enthalpy at the inlet to the turbine, Btu=lb, and h2s is the steam enthalpy at turbine exhaust pressure if the expansion is assumed to be isentropic, Btu=lb. That is, the entropy is the same at inlet condition and at exit. Given h1, h2s can be obtained either from the Mollier chart or by calculation using steam table data (see the Appendix). Zt is the efficiency of the turbine, expressed as a fraction. Typically, Zt ranges from 0.65 to 0.80.

Another way to estimate ASR is to use published data on turbine theoretical steam rates (TSRs) (see Table 9.1).

3413

ð2Þ

TSR ¼ h1 h2s

TSR divided by Zt gives ASR. The following example shows how the steam rate can be used to find required steam flow.

Copyright © 2003 Marcel Dekker, Inc.

TABLE 9.1 Theoretical Steam Rates for Steam Turbines at Some Common Conditions (lb=kWh)

 

 

 

 

 

Inlet

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

200 psig

400 psig

600 psig

600 psig

850 psig,

 

 

150 psig

200 psig

500 F

750 F

750 F

825 F

825 F,

Exhaust

 

366 F

388 F

94 F

302 F

261 F

336 F

298 F,

pressure

saturated

saturated

superheat

superheat

superheat

superheat

superheat

 

 

 

 

 

 

 

 

2 in.Hg

10.52

10.01

9.07

7.37

7.09

6.77

6.58

4 in.Hg

11.76

11.12

10.00

7.99

7.65

7.28

7.06

0 psig

19.37

17.51

15.16

11.20

10.40

9.82

9.31

10 psig

23.96

21.09

17.90

12.72

11.64

10.96

10.29

30 psig

33.6

28.05

22.94

15.23

13.62

12.75

11.80

50 psig

46.0

36.0

28.20

17.57

15.36

14.31

13.07

60 psig

53.9

40.4

31.10

18.75

16.19

15.05

13.66

70 psig

63.5

45.6

34.1

19.96

17.00

15.79

14.22

75 psig

69.3

48.5

35.8

20.59

17.40

16.17

14.50

Source: Ref. 4.

Copyright © 2003 Marcel Dekker, Inc.