Interaction Effects of Multiple Pool Fires
Transcript of Interaction Effects of Multiple Pool Fires
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I n t er a ct i o n f f ec ts o f
M u l t i p l e P o ol F i r es
K. G. HUF FMA N, J . R. WE LK ER , and C. M. SLI EP CEV IC H
University of k lahoma
What are the effects on flame behavior of a number of fires burning
in close proximity to one another? The results of measurements of
burning rates, heat feedback, flame height, and flame trailing are
reported for fires involving liquid pools.
HE inter actio n of multi ple fires from liquid pools burning in close
proximity has a substantial effect on the burning rate of the fuel, the
size of the flame, and the rate of heat transfer from the flame to the sur-
roundings. Alt hou gh a few experim ental studies of inte ract ing fire effects
have been described in th e literatur e, 1,2,3 most of them have used gaseous
fuel. Since the gas flow was a controlled variable, no dat a were obt ained on
fuel burning rates.
E Q U I P M E N T
In the present studies? methanol, acetone, hexane, cyclohexane, and
benzene were burned in several sizes and spatial arrangements of burners
as shown in Figur e 1. Circular burners, 4 in. in diameter, were used in the
13-burner patt ern, whereas burners wi th diamet ers of 2 in., 4 in., and 6 in.
were used in the 9-burner pattern. The burners were moun ted on the top
of a 10-ft octagonal table. The top o f the table was located 2 ft above the
floor and was covered with insulation. The rims of the bur ners were
mounted flush with the table top; the rims were tapered to a knife edge to
minimize heat condu ction from the table top. All the burn ers were 2 in.
deep. Th ey were kept flush full with fuel during the experim ents by the
use of a constant head siphon arrangement. The center burner was con-
nected to one fuel reservoir, and the outer burners were connected to a
second reservoir. Duri ng runs using the 13-burner patter n, t he four inter-
mediate burners were connected to a third reservoir. This arrang ement
permitted the burning rates for each group to be measured separately.
The outer burners in the 9-burner pattern were separated from the
center bur ner by a distance, S, as shown in Figure 1. In t he case of the
Present address: Continental Oil Co., Ponca City, Oklahoma.
225
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6
THIRTEEN BURNER PATTERN
F ir e Te c h n o lo g y
NI NE 8URGER PATTERN
~0~ \\// j~O
\ o o
Figure 1. Schematic diagram of f lame merging table , plan view.
1 3 - b u rn e r p a t t e r n , t h e s e p a r a ti o n b e t w e e n t h e o u t e r a n d i n t e r m e d i a t e
b u r n e r s a n d b e t w e e n t h e i n te r m e d i a t e b u r n e r s a n d t h e c e n t e r b u r n e r w a s
ma in t a ine d a t a d i s ta nc e , S . Thus , f o r t he 13 - bu r ne r pa t t e r n , t he d i s t a nc e
f r om the c e n t e r bu r ne r t o t he ou t e r bu r ne r s wa s 2S .
A c a m e r a wa s u se d t o pho to g r a p h t h e fi re s du r ing t he t e s t s . F l a m e
he igh t s we r e me a su r e d f r om the pho tog r a phs .
B U R N I N G R A T E S
As shown in F igu r e 2 , t he mu l t i p l e f ir e s c ha nge p r og r e s s ive ly f r om indi -
v idua l f l a me s w i th no i n t e r a c t i on t o i nd iv idua l i n t e r a c t i ng f l a me s a nd
f inal l y t o f u l l y me r ge d f l a me s a s t he s e pa r a t i on d i s t a nc e de c r e a se s . The
c ha nge f r om non - in t e r a c t i ng f i r e s t o me r ge d f i r e s i s v iv id ly i l l u s t r a t e d by
the burn ing ra te curves in F igure 3 for 4- in . d iameter cyc lohexane f i res .
The c u r ve s show the bu r n ing r a t e s f o r bo th t h~ c e n t e r bu r ne r a nd t he ou t e r
bu r ne r s a s a f unc t i on o f t he d ime ns ionl e s s s e pa r a t i on , S/D
whe r e D i s t he
bu r ne r d i a me te r . A t l ar ge s e pa r a t i on d i s ta nc e s , t he bu r n ing r a t e s f o r t he
c e n t e r bu r ne r a nd t he ou t e r bu r ne r s a re a bou t t he s a me . As t he bu r ne r s
a r e b r ough t c l ose r t oge the r f r om r i gh t t o l e ft i n F igu r e 3 ) , t he bu r n ing
r a t e f o r t he c e n t e r bu r ne r i nc r e a se s a nd pe a ks f a s t e r t ha n t ha t f o r t he ou t e r
bu r ne r s . How e ve r , bo th a pp r o a c h a c om mon va lue a t t he c lo se s t s e pa r a -
t i on d i s ta nc e . The ma x im um bu r n ing r a t e f dr t he c e n t e r bu r ne r oc c u r s a t
t he onse t o f me r g ing w he r e t he f l a me s f r om the bu r n e r s c e a se t o be i ndi -
v idua l ly d i scern ib le .
Figu re 2. Effect of separation distance on flam e interactions n-hexa ne in nine, 4-in.
diame ter burners); individu al fires left), interacting fires center), and m erged fires right).
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I n t e r a c t i o n E f f e c t s 2 2 7
T h e b e h a v i o r o f a ll
l u m i n o u s
f l a m e s w a s s i m i l a r t o t h e c u r v e s h o w n i n
F i g u r e 3 e x c e p t f o r t h e 6 -i n . b u r n e r s u s i n g c y c l o h e x a n e o r h e x a n e a n d t h e
2 - in . b u r n e r s u s i n g b e n z e n e . I n t h e s e t e s t s , t h e b u r n i n g r a t e o f t h e o u t e r
b u r n e r s d id n o t p e a k ; i t le v e l e d o f f a t a m a x i m u m v a l u e a s s h o w n i n F i g -
u r e 4, b u t a t a m u c h l o w e r v a l u e t h a n t h e b u r n i n g r a t e fo r t h e c e n t e r b u r n e r
i n a f u l ly m e r g e d f l a m e . T h e b u r n i n g r a te s o f t h e m u l t i p l e , n o n l u m i n o u s
m e t h a n o l f i r e s e x h i b i t e d l i t t l e v a r i a t i o n w i t h s e p a r a t i o n d i s t a n c e s i n c e t h e y
c o u l d n o t b e m a d e t o m e r g e .
F i g u r e 5 s h o w s t h e r e s u l t o f a t y p i c a l s e t o f t e s ts u s i n g t h e 1 3 - b u r n e r
p a t t e rn . T h e b u r n i n g r a te s fo r t h e c e n te r a n d i n t e r m e d i a t e b u r n e r s p e a k e d
a t a b o u t t h e s a m e s e p a r a t i o n d i s t a n c e , w h e r e a s t h e o u t e r b u r n e r s d i d n o t
r e a c h a p e a k w i t h i n t h e l i m i t s o f m i n i m u m s e p a r a t i o n d i s t a n c e a t t a i n a b l e
w i t h t h e e q u i p m e n t .
95 , ,
f
90 CIRCULAR BURNERS
B5 FUEL : CYCLOHEXANE
@ CENTER BURNER
gO lT~ OU I E BURNERS
75 ~ ~
O
-.. 70
O
6B
< BO f \e ~ ~d - ~
< BB ~
~ BO
45
40
3~
30
~ 20
15
10
5
0 2 3 a B 6 T B
DIMENSIONLESS SEPARATION S D
F i g u r e 3 B u r n i n g r a tes o f n t er a ct i n g
4 i n .
cyclohexane
f i res .
6 inch OIAMETER
CIRCULAR BURNERS
FUEL : CYCLOHEXANE
G CENTER BURNER
OUTE~ BURNERS
O O
J 1 ~ 1 : r - ~
DURNER PATTERN
SINGLE
0 i I I I i i t
2 3 4 5 6 7 e
D~ME SIONLESB SEPARATION S/D
F i g u r e 4 .
B u r n i ng ra t es o f n t er ac ti ng
6 i n .
cyclohexane
f i res .
H E A T F E E D B A C K
T h e b u r n i n g r a t e o f t h e l i q u id f u e l is d e t e r m i n e d b y t h e r a t e o f h e a t
f e e d b a c k f r o m t h e f ir e t o t h e f u el . T h e t o t a l h e a t f e e d b a c k i s t h e s u m o f
c o n d u c t i v e , r a d ia t i v e , a n d c o n v e c t i v e t e r m s . H o t t e P e x p r e s s e d t h e r a t e o f
h e a t f e e d b a c k f o r s i n g l e, l i q u i d - f u e l e d f i r es a s *
q __
4 k T F - T z )
D
+ U T F - T , ) + zF T 4 F - T 4B ) ( 1 - - e - D ) ( 1 )
I n t h e p r e s e n t i n t e r a c t i n g f i r e t e s t s , t h e b u r n e r r i m s w e r e t a p e r e d a n d i n -
s u l a t e d t o m i n i m i z e t h e c o n d u c t i o n t er m . T h e h e a t fe e d b a c k , t h e r e fo r e ,
w a s p r i m a r il y b y c o n v e c ti o n a n d r ad i a ti o n . A l t h o u g h t h e re m a y h a v e b e e n
S e e l is t o f n o m e n c l a t u r e o n p a g e 2 3 1 .
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8 F i r e T e c h n o l o g y
a s m a l l i n c r e a s e i n t h e c o n v e c t i o n c o e f f i c i e n t d u e t o t h e i n t e r a c t i o n e f f e c t s ,
i t is p r o b a b l e t h a t i n c re a s e s in b u r n i n g w e r e d u e p r i m a r i l y t o i n c r ea s e s i n
r a d i a t i v e f e e d b a c k . B l a c k s h e a r , G n h i s a n a ly s i s o f h e a t f e e d b a c k f r o m in -
t e r a c t i n g f i r e s , c o n c l u d e d t h a t i n c r e a s e d b u r n i n g r a t e s f o r p o o l s f r o m 4 i n .
t o 8 0 i n . i n d i a m e t e r a r e l a r g e l y d u e t o i n c r e a s e s i n t h e g e o m e t r i c a l v i e w
f a c t o r . I n t h e p r e s e n t s t u d ie s , i t w a s c l e a r l y v i s ib l e t h a t , a s t h e fi r es w e r e
m o v e d c l os e r t o g e t h e r, t h e v i e w o f e a c h i n d i v id u a l p o o l c o n t a i n e d m o r e a n d
m o r e o f t h e a d j a c e n t f l am e s , p a r t i c u l a r ly f o r t h e c e n t e r fi re . T h e f l a m e s
t i l te d a n d e l o n g a t e d t o w a r d t h e c e n t e r b u r n e r b e c a u s e o f t h e a i r f lo w p a t -
t e r n, t h e r e b y i n c r e as i ng t h e v i e w f a c t o r an d , c o n s e q u e n t l y , t h e b u r n i n g
r a t e s .
F u r t h e r d e c r e a se s i n s e p a r a t i o n d i s t a n c e a f t e r t h e m a x i m u m b u r n i n g
r a t e s h a d b e e n a c h i e v e d i n t r o d u c e d o v e r - c o m p e n s a t i n g f a c t o r s , w h i c h
c a u s e d t h e b u r n i n g r a t e s t o d e c re a s e . A s t h e b a s e d i a m e t e r o f t h e c o m -
p l e t e l y m e r g e d f ir e w a s d e c r e a s e d , t h e o p a c i t y f a c t o r , 1 - e -V D ), d e c r e a s e d ,
w h i c h i n t u r n c a u s e d th e h e a t f e e d b a c k r a t e a n d h e n c e t h e b u r n i n g r a t e t o
d e c r e a s e . S i m u l t a n e o u s l y , t h e a i r f l o w i n t o th e fl a m e , p a r t i c u l a r l y a b o v e
t h e c e n t e r b u r n e r , b e c a m e m o r e r e s t r i c te d , t h e r e b y c a u s i n g a n i n c r ea s e in
t h e u n b u r n e d f u el v a p o r i m m e d i a t e l y a b o v e t h e l iq u i d l ev e l. I n t u r n , t h e
t h i c k e r l a y e r o f fu e l v a p o r b e c a m e m o r e e f f e c ti v e i n a b s o r b i n g p a r t o f t h e
r a d i a t i o n f e e d b a c k t o t h e p o o l a s w a s o b s e r v e d i n p r e v i o u s w o r k b y t h e
B u r e a u o f M i n e s . 7
T w o g e n e r a li z ed c o r r e l a t io n s o f b u r n i n g r a t e d a t a f o r t h e 9 - b u r n e r p a t -
t e r n w e r e m a d e - o n e f o r t h e c e n t e r b u r n e r a l o n e, a n d t h e o t h e r f o r t h e
a v e r a g e b u r n i n g r a t e o f a ll n i n e b u r n e r s c o m b i n e d . T h e a v e r a g e r a t e f o r
a l l n i n e b u r n e r s i s v e r y n e a r t h e r a t e f o r t h e e i g h t p e r i p h e r a l b u r n e r s .
For the center burner alone
~ A H v l = ~ D L m ~ o ~ l ]
2)
For the average of al l nine burners
_ m p
r n A ~ H I ~ P ~ = [ ~ j
3 )
T h e s e t w o c o r r el a t io n s a r e s h o w n i n F i g u r e s 6 a n d 7 . T h e c o r r e l a ti o n o f
t h e c e n t e r b u r n i n g r a t e w a s b e t t e r t h a n t h e c o r r el a ti o n o f t h e a v e r a g e b u r n -
i n g r a te . F i g u r e s 6 a n d 7 p r o v i d e t h e m e a n s f o r e s t i m a t i n g t h e b u r n i n g
r a t e s o f i n t e r a c t i n g f i re s p r o v i d e d t h e b u r n i n g r a t e f r o m a s i n g le p o o l a n d
t h e fu e l p r o p e r t i e s a r e k n o w n . C a u t i o n m u s t b e u s e d in e x t r a p o l a t i n g t h e
d a t a t o la r g e r p o o l s iz e s b e c a u s e , a s p o i n t e d o u t b y B l a c k s h e a r , t h e b u r n i n g
r a t e o f l a r g e r f ir e s w o u l d n o t i n c r e a s e s i g n i f ic a n t l y d u e t o i n t e r a c t i o n e f f e c ts .
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I n t e r a c t i o n E f f e c t s
105
I 0 0
95
BO
BS
< O0
~ 70
~ BB
~ ao
55
~
so
~ 4o
~ 3B
30
25
BO
0
|
FU EL : CYCLOHEXAN~
| CENTER BURNER
iNTERMEDIATE
@ BURNERS
OUTER BURNERS
0 0 0
0
0 0
0
BURNER PATTERN
2 3 4 5 6 7 8 9
OIMENSIONLES$ SEPARATION B/ D
2 2 9
Figure 5. Burning rates of interacting 4-in. cyclohexane fires 13-burner pattern).
F L A M E H E I G H T
T h o m a s , 8 i n h i s s tu d i e s o f f la m e h e i g h t s o f s i n g l e w o o d c r ib f ir e s , d e -
v e l o p e d t h e f o l l o w i n g r e la t io n s h i p b e t w e e n t h e f la m e h e i g h t a n d b u r n i n g
p a r a m e t e r s f o r w o o d c r i b f i r e s :
D --~ q = f p ~ v / g D 5
W a t e r m a n
e t a l 2
a p p l i e d t h e s a m e f l a m e h e i g h t r e l a t i o n t o t h e d a t a o b -
t a in e d d u r i n g th e i r s t u d y o f m u l t ip l e w o o d c r i b f ir es . T h e y t o o k t h e v a l u e
95
9 0
85
BO
75
70
65
60
45
~ l g o
35
SO
25
20
15
I0
o ACETONE
N-HEXANE
0 CYCLOHEXANE
0 BENZENE
o
Z .oh BURNERS
0
4 ,rich BURNERS
9
6 inch BURNERS
~ ~
0
0 0
; - B ~ o
o
~ e BURNER PATTERN
|
SINGLE
BURNER
l ~ I h ~ I I 3 1 5
oi, olB , . . . . . . .
~ [ ~ p~ o B7
B 8
8 4
BO
76
72
BB
64
60
fi6
52
4 8
44
40
36
3Z
28
24
20
16
12
B
4
0
AVERAGE BURNING RATE
O ACETONE o 0 O
N-HEXANE
o o o o
o
CYC~OH[XAN~
o ~
a B E N Z E N E
2 ~NCH BURNERS BURNER PATTERN
o 41NCH BURNERS
9 6 INCH BURNERS
i
' o , o 'e , ;
/6 21o
. . . . . . . . . .
4 ZB
S mp -L3
Figure 6. Correlation of center burning
r a t e s
for all fuels and rimless burner si es
9-burner
p a t t er n .
Figure 7. Correlation of average burning
r a t e s
for all fuels and rimless burner si es
9-burner pattern).
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2 3 F i r e T e c h n o l o g y
of De~ to be the dimension of the multiple crib arra y rat her than tha t of a
single crib.
The flame height correlation suggested by Thomas was applied to the
liquid inte rac ting fires. Comparison of the wood crib and liquid fires is
given in Figure 8. The flame heights for merged fires and for single burners
with no interaction effects were plotted according to Equ ation 4 for which
D~q for the liquid interacting fires was assumed to be 2S. The flame heights
were about the same as or slightly larger than those of Thomas, but they
were significantly larger than Water man s data.
F L A M E T R A I L I N G
T h e t r a i l i n g e f f e c t e x h i b i t e d b y w i n d - b l o w n p o o l f i r e s h a s b e e n d e s c r i b e d
p r e v i o u s l y . 9 A s i s a p p a r e n t i n F i g u r e 2 t h e i n d u c e d w i n d c a u s e d t h e s a m e
e f f e c t i n t h e i n t e r a c t i n g f i r e t e s t s . S e v e r a l p h o t o g r a p h s w e r e t a k e n o f i n d i -
v i d u a l p e r i p h e r a l f i r e s d u r i n g t h e r u n s . A f e w m e a s u r e m e n t s o f t h e v e l o c i t y
a t w h i c h t h e a i r m o v e d i n t o t h e f i r e w e r e m a d e . T h e p h o t o g r a p h s a n d a i r
v e l o c i t y m e a s u r e m e n t s w e r e u s e d a l o n g w i t h t h e a p p r o p r i a t e b u r n e r s i z e
a n d f u e l p r o p e r t i e s t o c o m p a r e t h e e x t e n t o f f l a m e t r a i l i n g w i t h t h a t f o r t h e
p r e v i o u s f i r e s . F l a m e t r a i l i n g f o l l o w e d t h e e q u a t i o n f o u n d f r o m e a r l i e r
w o r k : 0
~- 2.1
F r o 2x
(5)
Figure 9 is a schematic diagram of a flame showing the geometrical para-
meters of Equati on 5.
A comparison of the data from the interacting fire tests with that of
the earlier wind tunnel tests is shown in Figure 10. It indicates the versa-
i
BO
6
4
2
B
4
2
os
o6
O 4
THOMAS CORREL TON
r WOOD CRSBS
0 e w < x X x X x x
x x x x x x
W A T E R M A N I t o l , ( 2 6 )
Y ~ W OOD C R IB S
0 P E A K B U R N I N G R A T E D A T A
b S I N G L E B U R N E R D A T A
0 2
O ACETONE
MEXANE
Ol 0 CYCLOHEXANE
0 B E N Z E N E
0 Z ~ nc h D I A M E T E R
4 ,r i ch O I A M E T E R
9 6 , . c A O $ A M E T E R
= . . . . . . . . . . . . . . . . . . . . . .
fO ~ Z 4 6 8 fO z 2 4 e e i0 Z 4 6 e t o
s J z
F i g u r e 8 E f f e c t o f b u r n i n g r a te o n [ l a m e
h e i g h t o [ s i n g l e a n d m u l t i p l e [ i r es
\ \ \ \ \
U
W I N D V E L O C I T Y
\
_ . J \ \ \ \ \ \ \ \ \ \ \ \ \ \
F i g u r e 9 S c h e m a t i c d i a g r a m o f t r a i l i n g
f i r e f r o m a c i r c u l a r b u r n e r
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I n t e r a c t i o n f f e c t s
C l ~ o
:
231
q
k - -
D =
TF =
Ts =
U
F
m
m s
m p
AH~
A H , =
pg ~
Pa
S
L
D e q
g
m t
D r =
Fr
U
N O M E N C L T U R E
h e a t f e e d b a c k p e r u n i t o f p o o l a re a , B t u / h r - f t 2
c o n d u c t i o n c o e ff i ci e n t, B t u / h r - f t - ~ R
b u r n e r d i a m e t e r , f t
f l a m e t e m p e r a t u r e , ~ R
p o o l t e m p e r a t u r e ( u s u a ll y t h e b o il in g t e m p e r a t u r e ) , o R
c o n v e c t i o n c o e ff i ci e n t, B t u / h r - f t L ~ R
S t e p h a n - B o l t z m a n n c o n s t an t , B t u / h r - f t L ~ R 4
g e o m e t r i c a l v i e w f a c t o r f r o m t h e l i q u i d t o t h e f l a m e , u n i t l e s s
B e e r s l a w e x t i n c t i o n c o e f fi c i en t o f t h e f l a m e t o a l lo w f o r i n c r e a s i n g
o p a c i t y w i t h t h i c k n e s s , f t - 1
b u r n i n g r a t e p e r u n i t a r e a o f i n t e r a c t in g f ir e, l b / h r - f t 2
b u r n i n g r a t e p e r u n i t a r e a o f s i n g l e f ir e , l b / h r - f t 2
p e a k b u r n i n g r a t e p e r u n i t a r e a o f i n t e r a c t i n g f ir e, l b / h r - f t 2
h e a t o f c o m b u s t i o n o f t h e f u e l, B t u / l b
h e a t o f v a p o r i z a t i o n a t t h e b o i l in g p o i n t p l u s t h e s e n s ib l e h e a t f o r
r a i s i n g t h e f u e l f r o m a m b i e n t t e m p e r a t u r e t o t h e b o i l i n g p o i n t ,
B t u / l b
d e n s i t y o f f u e l v a p o r a t b o i li n g p o i n t , l b / f t 3
d e n s i t y o f a m b i e n t a ir , l b / f t 3
b u r n e r s p a c i n g , f t
f l a m e h e i g h t , f t
f u e l s o u r c e d i m e n s i o n , f t
g r a v i t a t i o n a l a c c e le r a ti o n , f t / h r 2
t o t a l f u e l m a s s b u r n i n g r a t e , l b / h r
f l a m e t r a i l i n g le n g t h , f t
F r o u d e n u m b e r , U ~ - / D g , u n i t l e s s
a i r v e l o c i t y , f t / s e c
§ WIND TUNNEL DAT A (9)
| ACETONE 4 i n c h BURNERS
A N-HEXANE 4 inch BURNERS
0 N-HEXANE 6 inch BURNERS
E l A C E T O N E 4 i n c h B U R N E R S I S B U R N E R
PATTERN )
O l I i L L . .. . I , , . . . . . . I , , , , , , ,,
l 1 u2 I (
Fr = --
Og
Figure 10 Flame trailing correlation for interacting fires
t i l i t y o f t h e f l a m e t ra i l i n g c o r r e l a t io n f o r s i t u a t i o n s i n v o l v i n g w i n d - f l a m e
i n t e r a c t i o n s .
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232 F i r e Techn o logy
R E F E R E N C E S
Put nam , A. A. and Speich, C. F., A Model Study of the Intera ctio n of Multiple
Turbu lent Diffusion Flames, Nint h Symposi um International) on Combustion, 1963,
Academic Press, New York, pp. 867-877.
Thomas, P. H., Baldwin, R., and Heselden, A. J. M., Buo yan t Diffusion Flames:
Some Measurements of Air Entrainme nt, Heat Transfer, and Flame Merging, Tenth
Sym pos ium International) on Combustion, 1965, The Combustion Institute, pp.
983-996.
Wate rman , T. E., Labes, W. G., Salzberg, F., Tamney, J. E., and Vodvarka, F. J.,
Predict ion of Fire Damage to Install ations and B uilt-Up Areas from Nuclea r Weap-
ons, Final Report, Phase III, Exper imenta l Studies, Appendices A-G, IIT Research
Institute report for National Military Command System Support Center, Contract
No. DCA-8, November 1964.
4 Huffman, K. G., The Inter actio n and Merging of Flames from Burn ing Liquids,
Ph.D. Thesis, The U niv ers ity of Oklahoma, 1967.
6 Hottel, H. R., a review of Cert ain Laws Governing Diffusive Burn ing of Liquids,
V. I. Blinov and G. M. Khudi akov, Fire Research Abstracts and Reviews, Vol. 1, No. 2
(Jan. 1959), p. 41.
Blackshear, P. L., Some Thoughts on Heat and Mass Transfer in Very Large
Fires, Defense Atomic Support Agency, Informat ion and Analysis Center Special
Report 59, Santa Barbara, California, Oct. 1967.
Burgess, D. S., Strasser, A., and Grum er, J., Diffusive Burn ing of Liquid Fuels
in Open Trays, Fire Research Abstracts and Reviews, Vol. 3, No. 3 (Sept. 1961), p. 177.
8 Thomas, P. H., The Size of Flames from Natura l Fires, Ninth Symposium
International) on Combustion, 1963, Academic Press, New York, pp. 844-859.
9 Welker, J. R. and Sliepcevich, C. M., Bendin g of Wind-bl own Flames from L iquid
Pools, Fire Technology, Vol. 2, No. 2 (May 1966), p. 127.
ACKNOWLEDGEMENT: Fina nc ia l suppo rt for th is work came from the Na tion al
Bureau of Standards, U.S. Army Edgewood Arsenal, and the Un iversi ty of Oklahoma.