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CALCULATION FOR FLARE STACK HEIGHT
THREE METHODS USED
1) FROM API RP 521 ,1990
2) FROM CF BRAUN PUBLISHED IN HYDROCARBON PROCESSING, JAN 19!
") BR#USTO$S%I AND SOMMERS AS MODIFIED IN API 521 ,19&2
CASE : C.2 Example 1: Sizing A Flare Sa!" U#ing T$e Simple Appr%a!$
IN&UT 'ATA Re'( B*Ma+e-a. F./-g I S+a3 4 HC (A&OUR
F./ Ra+e, $ 4 1))*))) .67 A.. "
A8eage M/.e.a $e-g7+ 4 +,.1 A.. "
F./-g Te:;ea+e, T 4 -,) Deg R A.. "
Hea+ O< C/:=+-/, H 4 21*)) BTU6. A.. "
S;e-> Hea+ Ra+-/, 3 4 C;6C8 4 1.1 A.. "
F./-g Pe==e A+ T7e F.ae T-;, P 4 1+.- P=-a A.. "
De=-g Ma7 N:e F/ F.ae 4 ).2 Ma7?N/ A.. "
De=-g $- @e./-+*, U 4 2) :;7 API , BS
Fa+-/ O< Hea+ Ra-a+e, F 4 )./ API , BS
Fa+-/ O< Hea+ I+e=-+* Ta=:-++e, Ta 4 1 API , BS
Ma A../a.e Ra-a+-/, %, a+ D-=+ R 4 2*))) BTU676=< A.. "
D-=+ae, R, T/ Ma A../a.e Ra-a+-/ 4 1) F+ A.. "
L/e E;./=-8e L-:-+, CL, 4 ).)21 M/.e Fa BS
A:-e+ A- Te:;ea+e, Ta 4 2) Deg F BSRe.a+-8e H:--+* 4 ).)0
RESULTS S-:;.e A;;
A&I RAUN S
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/)) !1& 5&5 "
/) 5"1 " 9
+)) 0 ""! "0
+) "1 2& 2&"
)) 25" 21& 229
DISCUSSION OF METHODS
T7e +7ee :e+7/= ae =-:-.a +7/g7 +7ee ae a
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A&I R& 21 *166) 7 A&&EN'I8 C ;age &&
C./.2 CALCULATION OF FLARE 'IA9ETER ;age &9
Ma7 N/ 4 1!02E5)$) T 6 3M$ 05 6 P2) ;age 5&
Reaage e'a+-/ a =/.8e e Ma7 N:e 4 02D-a:e+e S'ae 4 22 =<
F.ae D-a:e+e, , e Ma7 N/ 4 150
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D 4 Ta)F)Q) 6 )"1)%) 05 4 1020 FT
R( 4 R 05)De.+a ) 4 R 4 !!9 FT
H( 4 D)2 R()2) 05 4 1010 FT
H 4 H( 05)De.+a Y) 4 H( Y 4 1095 FT
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DETERMINE Q FOR DIFFERENT RADII FROM FLARE
DISTANCE FROM FLARE D2 Q
FT FT2 BTU6HR SQFT
0 2&5! 205
50 2012 2550
100 20"95 251!
150 25 2000
200 "59"" 12&250 51202 1002
"00 !1!1 !1&
"50 9!0 5"1
00 12!009 0
50 122!& "1
500 2025! 25"
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CF RAUN &ULISHE' IN H'ROCARON &ROCESSING* =AN 16,-
MA @ELOCITY4MACH?NOSQRT"21!%TEMP15)6M$) EQUATION "
1&99"&!50! FT6SEC
@APOUR DENSITY4M$PRESS610!"TEMP) EQUATION 2
@APOUR DENSITY 4 00&"100!505 LB6CUFT
STAC% AREA4FLO$6"00DENSITY@ELOCITY) EQUATION 1
STAC% AREA 4 1!59&0221 SQ FT
STAC% DIAMETER 4 150 FT
DESIGN BASIS
DISTANCE FROM FLARE STAC% 150
MA RADIATION AT D 2000 BTU6HR SQFT
FOR DIAGRAM GO TO CELL AK143
RADIANT HEAT400&HEAT?COMBFLO$SQRTM$)6PID2 HH120DIA))
EQUATION 1 $HERE D IS DISTANCE TO RADIATION
H IS STAC% HEIGHT
REARRANGE AND SOL@E FOR STAC% HEIGHT
EQUATION BECOMES A QUADRATIC
A4 1
B4 1!9!0!29 EQUI@ALENT TO FLAME LENC4 5"!9&192"
QUADRATIC SOLUTION 21 OR 205&1
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50 2&
500 21&
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C./ R>USTO;SKI AN' SO99ERS AS 9O'IFIE' IN A&I 21 *166) ;&&
C./.2 Cal!?lai%n O3 Flare 'iameer ;&9
F.ae D-a:e+e, =a:e a. a= - S-:;.e A;; 150 FT
C././ L%!ai%n O3 Flame Cener ;&9
S/- @e./-+* 4 22"3 DEGR6M$)05S/- @e./-+* 4 99 FPS
A+a. E-+ S+a3 @e./-+* 4 1&99" FPS
L%@er Expl%#ie Limi C%n!enrai%n &arameer* CL
CL a 4 CL)U 6 U/)M 6 M$a) LOG CLBAR
L/g a=e 10
CL a 021!" 02&&92
Cal!?lae &arameer 3%r =e T$r?# ;inB T$r?#* BR
R 4 )U 6 U/)T/M 6 T)05 L/g a=e 10
LOG DJR
R 4 5 1!"590!5
THE THREE PARAMETER LOGLOGLOG GRAPHS FOR FLAME CENTRE AS A HOR#ONTAL DISTA
AND A @ERTICAL DISTANCE YC HA@E BE CORRELATED
F/: F-g C2A, Page 90
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Hea+ L-ea+e, Q 4 $)H) 4 215E09 BTU67
Re.a+-8e H:--+* 4 500
D 4 Ta)F)Q) 6 )"1)%) 05 4 1020 FT
C./. 'ETER9INATION OF FLARE STACK HEIGHT* H
R( 4 R 4 1091! FT
H( 4 D)2 R()2 05 4 11!2 FT
He-g7+ /< S+a3 4 H( Y 4 H 4 && FT
Ta E=+-:a+e, ;9, E' C1) 0&0 50 H:--+*, D
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DETERMINE Q FOR DIFFERENT RADII FROM FLARE
DISTANCE FROM FLARE D2 Q
FT FT2 BTU6HR SQFT
0 151" """0
50 1"&"0 "!11
100 1!2! 29!
150 25 2000
200 "90&1 1"1"250 5!9! &9"
"00 &091 "
"50 109""1 9
00 12!& "0
50 1&115 2&"
500 225&2 229
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RECOMMENDED MACH NUMBERS ARE 02 FOR CONTINUOUS FLARES AND 05 FOR EM
API RECOMMENDS 2 FOR METHANE AND " FOR HEA@IER GASES
Ta e=+ 4 0&0
See Ta.e "
THE MAIMUM RADIANT HEAT IS DIRECTLY BELO$ THE CENTRE OF THE FLAME THE DI
AT THE COORDINATE AS SHO$N IN THE RESULTS SECTION
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150
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F-g A, API521, ;"!
BTU67 F.a:e L Ca.( F.a:e L
1!5! L/g +/ +7e a=e 10 500E0! "0 "00"
00E0& &0 !&0
!00E0& 100 101&
00E10 &00 !9&!1
S*:/. a.+ 015 215E09 1!11
S./;e : C/=+a+ EPC/=+ )
0&
0& LINEST 4 02!299"& &00&5 000&222!1&5
0"0" C/e.a+-/ O< F-g !, Page "9, A;;/-:a+e F.a:e D-=+/+-/
SUM DELTA 6 L 1) "0&9"0209 0 SUM DELTA Y 6L 1)
SUM DELTA 6 L 2) 152"!2211 0 SUM DELTA Y 6L 1)
SUM DELTA 6 L ") 0&512&&& 0 SUM DELTA Y 6L 1)
U∞ 6 U
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009 0!5921"95 009
01 0!!" 01
011 0!9!01&1& 0202 0&&0"2& 0"
0" 0922!!" 0
0 09& 05
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05 095901!5 0
0 091 0!
0! 09" 0&0& 095 09
09 09! 1
1 099 11
11 09!1 12
12 09!" 1"
1" 09!5 1
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TH
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21 O2 !9 N2
M$ a- 4 2&&
CE C
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RGENCY 0! IS THE MAIMUM)
STANCE TO THE MA SHOULD BE SET
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P./+ / F-g A
215E09 1!12
215E09 1!12
1!115!5
F-g A, API521, ;"!U 4 0155
2"252&1" 0 V 0009
00!0"""0"2 0 W0009, V4005 0025 05 05
0"5&15192 0"5&1519 W005, V40 00" 02! 02!
1. 00 E+0 7 1 .0 0E+0 8 1 .0 0E+0 9 1 .0 0E+ 10 1. 00 E+1 1
1
10
100
1000
Heat Rele ase , BTU/hr
F l a m
e
L e n g t h ,
L , f
t .
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02"0955!
01&!&
0"1200&02&9&9&
0205&0&
01!9925
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6
0
0.2
Ratio of Wind / Exit Ve locity
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015000552 F-g !, A;;/-:a+e F.a:e D-=+/+-/, Page "9
0129"15"!1
0112!1201000021"
009100!
00&""
00&1&"
00!!""
00!2&"
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" *"
00 005!9!1
*
2 *2 00 005!9!1 00"59!5"
0012 0! 0! 005 05! 0592"&
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00" 00&95!
00 005!9!1
005 0592"&
00 05"&!1!
00! 0510!212
00& 0&5"1!2
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009 02"095
01 01&!&
02 0"1200&
0" 02&9&9&
0 0205&0&
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S3e+7
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Fig?re C71 'imen#i%nal Re3eren!e# 3%r Sizing a Flare Sa!"
Y
D
H
R(
R
S3e+7
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Page &
Y
F-g A
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Page "
10
100
1000
171.2
Fig. "# $ Flame Length Vers%s Heat Release
Fig 6A
Data Pt.
F l a m e L e n g t h ,
F e e t
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F-g !
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Page 5
0.2
0.4
0.6
0.8
1
1.2
Fig. & $ #''roximate Flame (istortion (%e To Lateral Wind )n *et Velocity From Flare +tac
dY / L
dX / L
Data Pt.
Data Pt.
R a t i o d ! / L
o r d / L
F-g !
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.2 1.3 1.4 1.5
Ratio U¥/ U
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Page
Ta.e "
TaDle / 9axim?m 'e#ign Flare RaBiai%n Leel# In!l?Bing S%lar RaBiai%n 42) 7 //) TU$r#35.
Pe:-==-.e De=-g Le8e. %)
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Page !
BTU676=< BTU676=< BTU676=< 3$6:2
N/ / S/.a S/.a T/+a. T/+a. C/-+-/=
1 ,!00 "00 5,000 15!!
2 2,!00 "00 ",000 9
" 1,!00 "00 2,000 "1
1,200 "00 1,500 !"
5 200 "00 500 15&
Hea+ -+e=-+* / =++e== - aea= 7ee/;ea+/= ae /+ .-3e.* +/ e ;e
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Page &