15
SDP - HARRIS FIRE ZONE 1-A-4-EPA (AKA SAFE SHUTDOWN ANALYSIS AREA 1-A-EPA) * Ignition sources: * Combustibles: Transients 1 ventilation fan 5 electrical cabinets Electrical junction boxes Miscellaneous hydrogen fires Welding/Ordinary Combustibles and Welding/Cables 2 gal. transient flammable liquids, with no transient combustible permit required (per FPP-004) 5 gal. transient combustible liquids, with no transient combustible permit required (per FPP-004) 2,940 lbs. of cable insulation, per UFSAR (IEEE-383) Rubber mats up to 150 sq. ft. may be installed without continuous attendance - per FPP-004. Transient combustibles up to one million Btu above the analyzed combustible loading for a given fire zone are considered a low fire load and no fire watch or other compensatory action is required - per FPP-004. Dimensions: The 1-A-EPA fire area is approximately 3,658 sq. ft.; with a length of 63 ft., width of 58 ft., and ceiling height of 23 ft. Assume natural ventilation with a vent opening of 3 ft. wide by 7 ft. high (a doorway). The cables of concern exited an MCC at about 10 ft. above the floor. Assume the fire starts in front of that MCC. Analysis: 5 gallons of transient oil spill on 150 sq. ft. of rubber mat. Also present is 125 lbs of solid transient combustibles (poly bags, rags, rubber, wood). All get ignited by a portable electrical implement (e.g., grinder, drill, heater, light bulb). Assume the rubber mat has a HRR of 354 Kw/sq. meter, an area of 17 sq. meters, and a total HRR of 6,000 Kw. Assume the 125 lbs of solid transient combustibles have a HRR of 500 Kw/ sq. meter, an exposed area of 2 sq. meters, and a total HRR of 1000 Kw. The heat release rates from the rubber mat and the solid transient combustibles are added to the heat release rate from the oil in analyzing the Hot Gas Layer and Plume C/L Temperatures. Pool Pool Pool Flame Pool Hot Gas Hot Gas Hot Gas Hot Gas Plume Fire Fire Fire Imping Fire Layer Layer Layer Layer C/L Area Heat Flame ement Burning Temp. Temp. Temp. Temp. Temp (sq. Release Height to Duratio After 1 After 2 After 3 After 4 (deg. ft.) Rate (ft.) Cable n (min.) Minute Minutes Minutes Minutes F) (kW) Tray (deg. F) (deg. F) (deg. F) (deg. F) _ 20 3333 14.6 yes 8 721 800 851 889 503 40 6667 18.8 yes 4 853 948 1009 1055 636 60 10000 21.8 , yes 2.65 975 1084 1155 NA 776 Conclusion: A hot gas layer in excess of the 700 degrees F needed to burn all IEEE 383 cables near the ceiling could occur.

* Ignition sources: * Combustibles · Transient combustibles up to one million Btu above the analyzed combustible loading for a given fire zone are considered a low fire load and

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Page 1: * Ignition sources: * Combustibles · Transient combustibles up to one million Btu above the analyzed combustible loading for a given fire zone are considered a low fire load and

SDP - HARRIS FIRE ZONE 1-A-4-EPA(AKA SAFE SHUTDOWN ANALYSIS AREA 1-A-EPA)

* Ignition sources:

* Combustibles:

Transients1 ventilation fan5 electrical cabinetsElectrical junction boxesMiscellaneous hydrogen firesWelding/Ordinary Combustibles and Welding/Cables

2 gal. transient flammable liquids, with no transient combustiblepermit required (per FPP-004)5 gal. transient combustible liquids, with no transient combustiblepermit required (per FPP-004)2,940 lbs. of cable insulation, per UFSAR (IEEE-383)Rubber mats up to 150 sq. ft. may be installed without continuousattendance - per FPP-004.Transient combustibles up to one million Btu above the analyzedcombustible loading for a given fire zone are considered a low fireload and no fire watch or other compensatory action is required -per FPP-004.

Dimensions: The 1-A-EPA fire area is approximately 3,658 sq. ft.; with a length of 63 ft., widthof 58 ft., and ceiling height of 23 ft. Assume natural ventilation with a vent opening of 3 ft. wideby 7 ft. high (a doorway). The cables of concern exited an MCC at about 10 ft. above the floor.Assume the fire starts in front of that MCC.

Analysis: 5 gallons of transient oil spill on 150 sq. ft. of rubber mat. Also present is 125 lbs ofsolid transient combustibles (poly bags, rags, rubber, wood). All get ignited by a portableelectrical implement (e.g., grinder, drill, heater, light bulb). Assume the rubber mat has a HRRof 354 Kw/sq. meter, an area of 17 sq. meters, and a total HRR of 6,000 Kw. Assume the 125lbs of solid transient combustibles have a HRR of 500 Kw/ sq. meter, an exposed area of 2 sq.meters, and a total HRR of 1000 Kw. The heat release rates from the rubber mat and the solidtransient combustibles are added to the heat release rate from the oil in analyzing the Hot GasLayer and Plume C/L Temperatures.

Pool Pool Pool Flame Pool Hot Gas Hot Gas Hot Gas Hot Gas PlumeFire Fire Fire Imping Fire Layer Layer Layer Layer C/LArea Heat Flame ement Burning Temp. Temp. Temp. Temp. Temp(sq. Release Height to Duratio After 1 After 2 After 3 After 4 (deg.ft.) Rate (ft.) Cable n (min.) Minute Minutes Minutes Minutes F)

(kW) Tray (deg. F) (deg. F) (deg. F) (deg. F) _

20 3333 14.6 yes 8 721 800 851 889 503

40 6667 18.8 yes 4 853 948 1009 1055 636

60 10000 21.8 , yes 2.65 975 1084 1155 NA 776

Conclusion: A hot gas layer in excess of the 700 degrees F needed to burn all IEEE 383 cablesnear the ceiling could occur.

Page 2: * Ignition sources: * Combustibles · Transient combustibles up to one million Btu above the analyzed combustible loading for a given fire zone are considered a low fire load and

I I - pt-4Worksheet NRR/DSS0 SPLB 1. Rev. 3.0 r

March 2002Workshop fC

METHOD OF PREDICTING HOT GAS LAYER TEMPERATURE ANDSMOKE LAYER HEIGHT IN ROOM FIRE WITH NATURAL VENTILATIONCOMPARTMENT WITH THERMALLY THICK BOUNDARIES 8 > 1 inch

VERSION 1.03

WPararneters should be'spcifed ONLY. IN THE YELLOW INPUT:PARAMETER BOXES . 2--j ;iX-:3 I M 0-0 -I .-4 1 ..=. 11 0I. -Ili- .00.*0I-[S0I-. - 0..

INPUT PARAMETERS

COMPARTMENT INFORMATIONCompartment Width (wc) 'n 58.00 ftCompartment Length (I) 63.00 fCompartment Height (hc) 3.00 It

Vent Width (wv) <!3.00 ftVent Height (hN) 2134

Top of Vent from Floor (VT) 7 I.00 ft n

Interior Lining Thickness (8) -E2.00 InFor thermally thick case the Interior lining thickness should be greated then 1 Inch.

AMBIENT CONDITIONSAmbient Air Temperature (To)

Specific Heat of Air (cp)Ambient air Density (Do)

| 1.00 | kJ/kg-K| 1.20 1 kCI/m 3

THERMAL PROPERTIES OF COMPARTMENT ENCLOSING SURFACES FORInterior Lining Thermal Inertia (kpc) ,-2Ii, ;12.9 (kwm/tK)2.secInterior Lining Thermal Conductivity (k) L3n0.0016 kW/r-KInterior Lining Specific Heat (co) LZ1>': 0.75 kJ/kg-KInterior Lining Density @) j:J.2400 kg/rm3

INTERIOR LINING EXPERIMENTAL THERMAL PROPERTIES FOR COMMON MATERIALS

6 B VA,~0 00016 0

Ca c:Sil~te~oagJ 0.09 0.0013 005* U

Aialc ijetumro 0 310:0080G Aslib1nuato0.01 .a

1pgnde oIea ~ 5 .E0

1

Page 3: * Ignition sources: * Combustibles · Transient combustibles up to one million Btu above the analyzed combustible loading for a given fire zone are considered a low fire load and

I

Worksheet NRRIDSSAISPLB 1. Rev. 3.0'March 2002Workshop

Mgie*nEM fiWa l _

FIRE SPECIFICATIONSFire Heat Release Rate (Q) kW170O.00 kW

METHOD OF MCCAFFREY, QUINTIERE, AND HARKLEROAD MQH)

ATg = 6.85[02/(A0(hv)12) (AThk)J"i3

Where ATg = Tg - To, upper layer gas temperature rise above ambient (K)0 = heat release rate of the fire (kW)Ao = area of ventilation opening (rnf)h,= height of ventilation opening (m)hk = convective heat trensfer coefficient (kW/m2-K)AT = total area of the compartment enclosing surface boundaries excluding area of vent openings (rr?)

Area of Ventilation Opening CalculationAo = (wv)(hv)Ao = 1.95 m2

Thermal Penetration Time Calculation }e-rna 0Thc ater atltp = (pcp/)(5/2)2Where p = interior construction density (kg/rn3)

cp = interior construction heat capacity (kJIKg-K)k = interior construction thermal conductivity (kW/m-K)8 = interior construction thickness (m)

tp= 26128.98 sec

Heat Transfer Coefficient Calculationhk = (kpc/t)1/2 fort < tpWhere kpc = interior construction thermal inertia (kW/M2-K)2-sec

(a thermal property of material responsible for the rate of temperature rise)I = time after ignition (sec)

Area of Compartment Enclosing Surface BoundariesAT = [2(wcxlc) + 2(hcxwc) + 2(hcxlc)] - AoAT = 1194.08 m2

Compartment Hot Gas Layer Temperature With Natural VentilationATg = 6.85[Q2/(Ao(hv)" 2) (AThk)]"1 3ATg = Tg. ToTo= ATg + To

RESULTS:

Time After | | hk ATq | T Tj Tj(min) (S) (kW/m'-K) |(K) |(K) | VC) | (°F)I

1 60 0.22 498.89 796.89 523.89 2975.2 120 0.16 559.98 857.98 584.98 Il0841S9i3 1 180 0.13 599.13 897.13 624.13 tIt355"4 240 0.11 628.56 926.56 653.56 1t208:45 300 0.10 652.37 950.37 677.37 251

2

Page 4: * Ignition sources: * Combustibles · Transient combustibles up to one million Btu above the analyzed combustible loading for a given fire zone are considered a low fire load and

I Worksheet NRR/DSSAISPLB 1. Rev. 3.0March 2002Workshop

10 600 0.0 73227 | 1 L t1395f.0l Is'

15 9 00 0.06 783.46 1081.46 808.46 1487423

1 20 100.5 821.94 11119.94 1-846.94 1. F5 5 A_

Hot Gas TemperatureNatural Ventilatio

0 5 10 15time (min)

20

ESTIMATING SMOKE LAYER HEIGHTMETHOD OF YAMANA AND TANAKA

z = ((2kQ 1 13t/3Ac) + 01hcmT=Where z = smoke layer height (m)

Q = heat release rate of the fire (kW)t = time after Ignition (sec)hc = compartment height (m)Ac = compartment floor area (i 2)k = a constant given by k = 0.076/pgpg = hot gas layer density (kglrrP)pg is given by pg = 353/TgTJ = hot gas layer temperature (K)

Compartment Area CalculationAc = (wc) (Ic)Ac = 339.47 m2

Hot Gas Layer Density Calculationpo = 353trg

Calculation for Constant Kk= 0.076/pg

Smoke Gas Layer Height With Natural VentilationZ = ((2kQ' 3tf3Ac) + (1/hcw3))-

RESULTS:

3

Page 5: * Ignition sources: * Combustibles · Transient combustibles up to one million Btu above the analyzed combustible loading for a given fire zone are considered a low fire load and

'Worksheet NRRtDSSANSPLB 1. Rev. 3.0March 2002Wodmhop

|t pt k | Z | z(min) kg/m3 (m)

1 0.44 0.172 1.42

2 0.41 0.185 1.32

3 0.39 0.193 1.26 Kll4 0.38 0.199 1.22 3a99

5 0.37 0.205 1.19

10 0.34 022 1.09

15 0.33 0.233 1.0320 0.32 0.241 0.99

Smoke Gas Layer HeightNatural Ventila

0 5 10time (min)

is 20

NOTE

4

Page 6: * Ignition sources: * Combustibles · Transient combustibles up to one million Btu above the analyzed combustible loading for a given fire zone are considered a low fire load and

I

a. Worksheet NRRIDSSANSPLB 3, Rev.3.0March 2002 Workshop

I- infix '.4- ��Vk-0-rt- � �) t L'w-.5 cr^ kN c-

METHOD OF ESTIMATING BURNING CHARACTERISTICS OFLIQUID POOL FIRE, HEAT RELEASE RATE, BURNING DURATION,AND FLAME HEIGHT

VERSION 1.03

.Parameters'should be6 pecified ONLY:IN THE;;YELLOW INPUTPARAMETER BOXES.";';- iU

INPUT PARAMETERS

Fuel Spill Volume (V) .,,.Mi ,, gallonsFuel Spill Area or Dike Area (Adike) -:60.00 ft2

Mass Burning Rate of Fuel (m") - -0.039 kg/m2.secEffective Heat of Combustion of Fuel (AHc,e:) '".46000 kJ/kgFuel Density (P) =760 Ikg/m:

THERMAL PROPERTIES DATAR210iRNIlt 93ATF

ESTIMA

o = m'AHc.effAf

Where 0 = pool fire heat release rate (kW)m' = mass burning rate of fuel per unit surface area (kg/m2-sec)AHc.en= effective heat of combustion of fuel (kJ/kg)Al= Adike = surface area of pool fire (area involved in vaporization) (rrn)

1

Page 7: * Ignition sources: * Combustibles · Transient combustibles up to one million Btu above the analyzed combustible loading for a given fire zone are considered a low fire load and

Worksheet NRRIDSSAISPLB 3. Rev.3.0March 2002 Workshop

Heat Release Rate Calculation (Uquids with relatively high flash point, like transformer oil require

0 = m"AHcAf localized heafinq to achieve Ignition)

rQ!5 ~ U10O0O.O8k 78.28 ANSWER

ESTIMATING POOL FIRE BURNING DURATION

tb = 4V/nD2vWhere tt = burning duration of pool fire (sec)

V = Volume of liquid (i 3)D = pool diameter (m)v = regression rate (m/sec)

Pool Fire Diameter CalculationAi = 0D2/4D = (4Af/h) 112

D = 2.664 m

Calculation for Regression Ratev = m"IpWhere mH = mass burning rate of fuel (kgIm2-sec)

p = liquid fuel density (kg/rr3)V = 0.000051 m/sec

Burning Duration Calculationth = 4V/nD2 v

66.17; iIOiWmUniIi= ANSWERNote that a liquid pool fire with a given amount of fuel can bum for long periods of time over small area or for

short periods of time over a large area.

ESTIMATING POOL FIRE FLAME HEIGHT

Hi = 0.235 Q2/5 . 1.02 DWhere Hf = pool fire flame height (m)

o = pool fire heat release rate (kW)D = pool fire diameter (m)

Pool Fire Flame Height CalculationHi = 0.235 P5 - 1.02 D

-_ ' j6.64N S WE.78 It IANSWER

NOTE

~~~~~~~~~~~~~~~11M MI. 5 |X4

2

Page 8: * Ignition sources: * Combustibles · Transient combustibles up to one million Btu above the analyzed combustible loading for a given fire zone are considered a low fire load and

Worksheet NRR/DSSNSPLB 3, Rev.3.0March 2002 Workshop

'g�\-

METHOD OF ESTIMATING BURNING CHARACTERISTICS OFLIQUID POOL FIRE, HEAT RELEASE RATE, BURNING DURATION,AND FLAME HEIGHT

VERSION 1.03I1 IIa I I I v. -- I " * * ** * * * -

._ . . .. .. . .. . . .... . .. , .. _ ... .. ... _ .. _ .. _ . .. _ ... ... _ .. _ . . _ ... _ _ _ _

.

Iftrameters sh-ould be s eclfiedOUNL-YJNTHE=YE-LLOW.INPUTPARAME=TER BOE.?§v ;~* * -s * -~[i - -S *I. - . 0f9* - 0 Im 1-

S.~~~~~1n15111 Hl I

INPUT PARAMETERS

Fuel Spill Volume (V)Fuel Spill Area or Dike Area (Adike)

Mass Burning Rate of Fuel (m")Effective Heat of Combustion of Fuel (AHcef)Fuel Density (p)

-' 5.00k:. 40.00

:i 0.039. . - 46000-.,. 760

gallonsft2

kg/m2-seckJ/kgka/m3

oI1

_ . .. . .. . _ _ =,

THERMAL PROPERTIES DATARBURNING RATE DATA FOR L lilin iHynlra~R ROn? FUFL5I

ESTIMA

o = m'AHce.efAt

Where 0 = pool fire heat release rate (kW)mu = mass burning rate of fuel per unit surface area (kg/m2-sec)AHc.et = effective heat of combustion of fuel (kJ/kg)At= Adike = surface area of pool fire (area involved in vaporization) (rr?)

I

Page 9: * Ignition sources: * Combustibles · Transient combustibles up to one million Btu above the analyzed combustible loading for a given fire zone are considered a low fire load and

Worksheet NRRIDSSNSPLB 3. Rev.3.0March 2002 Workshop

Heat Release Rate Calculation (Uquids with relatively high flash point, like transformer oil require

0 = m"AHcAH localized heabing to achieve Ignition)

6 6666J . 31-8!85t8Tgl ANSWER

ESTIMATING POOL FIRE BURNING DURATION

t = 4V/hD2 %'Where th = burning duration of pool fire (sec)

V = Volume of liquid (in3)D = pool diameter (m)v = regression rate (m/sec)

Pool Fire Diameter CalculationAi = 02/4

D = (4Ar/h) 1'2D= 2.175 m

Calculation for Regression Ratev = m"/pWhere rn" = mass burning rate of fuel (kg/m2-sec)

p = liquid fuel density (kg/m3)V= 0.000051 rn/sec

Burning Duration Calculationtb = 4V/0D2 v

g AN95;ec% i~SW ,ii~ntERANSWERNote that a liquid pool fire with a given amount of fuel can bum for long periods of time over small area or forshort periods of time over a large area.

ESTIMATING POOL FIRE FLAME HEIGHT

Ht = 0.235 02/5 1.02 DWhere Hr = pool fire flame height (m)

o = pool fire heat release rate (kW)D = pool fire diameter (m)

Pool Fire Flame Height CalculationHf = 0.235 Q2I5- 1.02 D

=A SANSWER

NOTE

i s - R W r l r ME-211MM, 11121M w IF1w

2

Page 10: * Ignition sources: * Combustibles · Transient combustibles up to one million Btu above the analyzed combustible loading for a given fire zone are considered a low fire load and

E *

* Worksheet NRR/DSSNSPLB 3, Rev.3.0March 2002 Workshop

METHOD OF ESTIMATING BURNING CHARACTERISTICS OFLIQUID POOL FIRE, HEAT RELEASE RATE, BURNING DURATION,AND FLAME HEIGHT

VERSION 1.03

Parameters should be s eclued ONLYIN THE YELLOW.INPUTPARAMETER BOXES.+ .j- i.fS-J* 0 *0 i -alar~|M~lzl-. 1 -e -NL -. * *, n 0 -; E I

A t-- _ I _IW_ _ WI IU31tolill

* INPUT PARAMETERS

Fuel Spill Volume (V)Fuel Spill Area or Dike Area (Adike)

Mass Burning Rate of Fuel (mi)Effective Heat of Combustion of Fuel (AHc,eff)Fuel Density 6:)

... 5.00

'120.00"- 0.039

-46000

f";- `¢ y760

gallonsft2

kgfm2 -seckJ/kgka/m3

I~ts

_ . . _ :,

THERMAL PROPERTIES DATARIIRNING RATE

ESTIMA=1=t12'!-. -7 "-i-a

fi~ ~a - -. -* - - . -- - .- -

o = m"AH.efAf

Where a = pool fire heat release rate (kW)my = mass burning rate of fuel per unit surface area (kglm2-sec)AHc.ett = effective heat of combustion of fuel (kJ/kg)Al= Arike = surface area of pool fire (area involved in vaporization) (rrS)

1

Page 11: * Ignition sources: * Combustibles · Transient combustibles up to one million Btu above the analyzed combustible loading for a given fire zone are considered a low fire load and

* #

Worksheet NRR/DSSNSPLB 3, Rev.3.0March 2002 Workshop

Heat Release Rate Calculation (Uquids with relatively high flash point, like transformer oil require

Q = m"AHcAf localized heabng to achieve Ignition)

.333 =kW 3Z59~ BTIJgse ANSWER

ESTIMATING POOL FIRE BURNING DURATION

th 4V/nD2vWhere th = burning duration of pool fire (sec)

V = Volume of liquid (in3)D = pool diameter.(m)v = regression rate (rri/sec)

Pool Fire Diameter Calculation-A, = TVA2/D = (4A,/:r)112D = 1.538 m

Calculation for Regression Ratev = m"/pWhere ml' = mass burning rate of fuel (kg/m2-sec)

p = liquid fuel density (kg/r 3)v 0.000051 m/sec

Burning Duration Calculationto = 4V/AD2v

&2, _ ~'198Z e ANSWERNote that a liquid pool fire with a given amount of fuel can bum for long perIods of time over small area or forshort periods of time over a large area.

ESTIMATING POOL FIRE FLAME HEIGHT

Hi= 0.235 Q2/5 -1.02 DWhere Hr = pool fire flame height (m)

o = pool fire heat release rate (kW)D = pool fire diameter (m)

Pool Fire Flame Height CalculationHr = 0.235 Q2/5- 1.02 D

=4A&: _ 1463 ANSWER

NOTE

I 471PG .'M # i RIO reaIiz-oaaIF. !ljaI i zIR1IFIIfeli

2

Page 12: * Ignition sources: * Combustibles · Transient combustibles up to one million Btu above the analyzed combustible loading for a given fire zone are considered a low fire load and

Worksheet NRRIDSSA/SPLB 9. Rev.0March 2002 Workshop

METHOD OF ESTIMATING TEMPERATURE OF A BUOYANTFIRE PLUME VERSION 1.0

IParameters-should bei secified ONLY IN THE YELLOW INPUT PARAMETER BOXES. ..s-.,-xt. -'s

, v~ . . m] .. r a-. -. . a. -e an * fi a

e. _

INPUT PARAMETERSHeat Rlease Rate of the Fire (0)

Distance from the Top of the Fuel to the Ceiling (z)Area of Combustible Fuel (AC)

AMBIENT CONDITIONSAmbient Air Temperature (To)

--...... .....

.17000.00 kWLL.~~~O0 ft

7 .50.00 Ft2

77.00 *F29

Specific Heat of Air (cp) 1.00 kJ/kg-KAmbient Air Density (po) 1.20 kg/m3Acceleration of Gravity (g) 9.81 mlsec2

Convective Heat Release Fraction (arc) 0.50ESTIMATING PLUME CENTERLINE TEMPERATURE

l e 'I '"".29

Tpwcenterline) - To = 9.1 (To/g CP2 p02)113 QC2'3 (z - zo)5'3

Where Qc = Convective portion of the heat release rate (kW)To = ambient air temperature (K)g = acceleration of gravity (m/sec2)cp = specific heat of air (kJ/kg-K)po = ambient air density (kg/rn?)z = distance from the top of the fuel package to the ceiling (m)zo = hypothetical virtual origin of the fire (m)

Convective Heat Release Rate Calculationc = xc a

Where 0 = heat release rate of the fire (kW)xc = convective heat release fractionQC= 8500 kW

Pool Fire Diameter CalculationAdike = 7nD2/4D = (4 Aclkeht) 1nyD = 4.21 m

Hypothetical Virtual Origin Calculationzo/D = -1.02 + 0.083 (0Y/5)/D

Where zo = virtual origin of the fire (m)o = heat release rate of fire (kW)D = diameter of pool fire (m)

zoD= -0.05zo= -0.21 m

1

Page 13: * Ignition sources: * Combustibles · Transient combustibles up to one million Btu above the analyzed combustible loading for a given fire zone are considered a low fire load and

I

Worksheet NRRIDSSA/SPLB 9, Rev.0March 2002 Workshop

Centerline Plume Temperature CalculationTpwcentertine) - To = 9.1 (To/g Cp2 po2)1Y' QcY (z - zo)M

Tp(centerline) - To= 388.17Tp(centerjine) 686.17 K

ANSWER

NOTE1~~. .r0 *0 3 .I Mm - S 0

* -. - 0ffl E r~0 0 0

I~~~ S -~EI 0 .s E 1a4!j*.li| 0 r .S** - .0. 0. -z0 *I 0 ;

I. 0-. - ; 0 i _ - S

2

Page 14: * Ignition sources: * Combustibles · Transient combustibles up to one million Btu above the analyzed combustible loading for a given fire zone are considered a low fire load and

Worksheet NRR/DSSAISPLB 9, Rev.0March 2002 Workshop

METHOD OF ESTIMATING TEMPERATURE OF A BUOYANTFIRE PLUME VERSION 1.0

~Parameters should be-specified ONLY-INTHEYELLOW INPUT-PARAMETER BOXES.tL-2zi:. A'..e,.L :* 6_ -11 . - 04- . 111 A ; *e -

_6S 5 . M

INPUT PARAMETERSHeat Rlease Rate of the Fire (Q)

Distance from the Top of the Fuel to the Ceiling (z)Area of Combustible Fuel (Ac)

AMBIENT CONDITIONSAmbient Air Temperature (To)

.., " -%- i1,

12333.00 kW

I-i - 23.00 ft--150.00 ft2

77.00 F

Specific Heat of Air (cp) 1.00 kJ/kg-KAmbient Air Density t(o) 1.20 kg/m3Acceleration of Gravity (g) 9.81 rnrsec2

Convective Heat Release Fraction (yc) 0.50ESTIMATING PLUME CENTERLINE TEMPERATURE

Ine ar-#nc6=_YM; gg_~RMdztfea 2,

Tp(centerdlne) - To = 9.1 (To/g cp2 po2)1/3 QJ'3 (z zo)-5/3

Where QC = Convective portion of the heat release rate (kW)To = ambient air temperature (K)g = acceleration of gravity (m/sec 2)cp = specific heat of air (kJ/kg-K)po = ambient air density (kg/rrP)z = distance from the top of the fuel package to the ceiling (m)zo = hypothetical virtual origin of the fire (m)

Convective Heat Release Rate CalculationQC = XCQ

Where Q = heat release rate of the fire (kW)Xc = convective heat release fractionQc= 6166.5 kW

Pool Fire Diameter CalculationAdike = 7D 2I4D = (4 Acike/n)1/2

D = 4.21 m

Hypothetical Virtual Origin Calculationzo/D = -1.02 + 0.083 (Q2 5)/D

Where zo = virtual origin of the fire (m)o = heat release rate of fire (kW)D = diameter of pool fire (m)

zo/D = -0.17zn = -0.70 m

1

Page 15: * Ignition sources: * Combustibles · Transient combustibles up to one million Btu above the analyzed combustible loading for a given fire zone are considered a low fire load and

1. 11

Worksheet NRR/DSSAISPLB 9, Rev.0March 2002 Workshop

Centerline Plume Temperature CalculationTp(centerfune) - To = 9.1 (Tolg Cp2 pg2)1/3 oc= (z - zo) 5

Tp(centerline) - To= 280.79Tp(centeruine) 578.79 K

=08 582AANSWER

NOTE

* - S .** -0 - - 0 *0 -- 0 -

-l u ~l 1 6 C.0 * . -- :. - 0 * , S. 0 BSt,:B

* S 0 0 - 0 - .0 00 0 0 00 - - 0*

2