02.1 Temperature Nv Sup1

7/23/2019 02.1 Temperature Nv Sup1

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CHAPTER 2. PREDICTING HOT GAS LAYER TEMPERATURE

AND SMOKE LAYER HEIGHT IN A ROOM FIREWITH NATURAL VENTILATION

Version 1!".1#En$%is& Uni's(

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COMPARTMENT WITH THERMALLY THICK)THIN *OUNDARIES

The following calculations estiate the hot gas la!e" te#e"atu"e an$ so%e la!e" height in enclosu"e fi"e.

P+r+,e'ers in YELLOW CELLS +re En'ere- / '&e User.P+r+,e'ers in GREEN CELLS +re A0'o,+'i+%%/ Se%e'e- ro, '&e DROP DOWN MENU or '&e M+'eri+% Se%e'e-.

&ll su'se(uent out#ut )alues a"e calculate$ '! the s#"ea$sheet an$ 'ase$ on )alues s#ecifie$ in the in#ut #a"aete"s. This s#"ea$sheet is #"otecte$

an$ secu"e to a)oi$ e""o"s $ue to a w"ong ent"! in a cell*s+. The cha#te" in the ,- shoul$ 'e "ea$ 'efo"e an anal!sis is a$e.

INPUT PARAMETERS

COMPARTMENT INFORMATION

12.00 ft 3.6576

10.00 ft 3.048

8.00 ft 2.4384

3.00 ft 0.914

4.00 ft 1.219

4.00 ft 1.219

6.00 in 0.1524

AM*IENT CONDITIONS

77.00 25.00

298.00

1.00 %/%g

1.18

THERMAL PROPERTIES OF COMPARTMENT ENCLOSING SURFACES FOR

0.18

nte"io" ining The"al on$ucti)it! *%+ 0.00017 %/

1.1 %/%g

960

Pro3e' ) Ins4e'ionTi'%e5

o#a"tent i$th *wc+

o#a"tent ength *lc+

o#a"tent eight *hc+

;ent i$th *w)+

;ent eight *h)+

To# of ;ent f"o loo" *;T+

nte"io" ining Thic%ness *δ+

&'ient &i" Te#e"atu"e *Ta+

<#ecific eat of &i" *ca+

&'ient &i" =ensit! *ρa+ %g/3

,ote: &'ient &i" =ensit! *ρa+ will autoaticall! co""ect with &'ient &i" Te#e"atu"e *T

a+ n#ut

nte"io" ining The"al ne"tia *%ρc+ *%/2+2sec

nte"io" ining <#ecific eat *c#+

nte"io" ining =ensit! *ρ+ %g/3






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THERMAL PROPERTIES FOR COMMON INTERIOR LINING MATERIALS

M+'eri+% 6 ρ Se%e' M+'eri+%#6W),7K( #68)6$7K(

&luinu *#u"e+ 500 0.206 0.895 2710

<teel *0.5> a"'on+ 197 0.054 0.465 7850

onc"ete 2.9 0.0016 0.75 2400

?"ic% 1.7 0.0008 0.8 2600

lass@ Plate 1.6 0.00076 0.8 2710

?"ic%/onc"ete ?loc% 1.2 0.00073 0.84 1900

!#su ?oa"$ 0.18 0.00017 1.1 960

Pl!woo$ 0.16 0.00012 2.5 540

i'e" nsulation ?oa"$ 0.16 0.00053 1.25 240

hi#'oa"$ 0.15 0.00015 1.25 800

&e"ate$ onc"ete 0.12 0.00026 0.96 500

Plaste"'oa"$ 0.12 0.00016 0.84 950

alciu <ilicate ?oa"$ 0.098 0.00013 1.12 700

&luina <ilicate ?loc% 0.036 0.00014 1 260

lass i'e" nsulation 0.0018 0.000037 0.8 60

x#an$e$ Pol!st!"ene 0.001 0.000034 1.5 20

-se" <#ecifie$ ;alue nte" ;alue nte" ;alue nte" ;alue nte" ;alue

Reference: Klote, J., J. Milke, Principles of Smoke Management, 2002, Page 270.

FIRE SPECIFICATIONS

i"e eat elease ate *A+ 300.00 %

C+%0%+'e

6ρ

#6W),27K(27se #6$),9(

Sro%% 'o -esire- ,+'eri+%

C%i6 '&e se%e'ion






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METHOD OF MCAFFREY: ;UINTIERE: AND HARKLEROAD M;H

he"e@

A B heat "elease "ate of the fi"e *%+

height of )entilation o#ening *+

Are+ o Ven'i%+'ion O4enin$ C+%0%+'ion

he"e@

)ent wi$th *+

)ent height *+

1.11

T&er,+% Pene'r+'ion Ti,e C+%0%+'ion

he"e@

the"al #enet"ation tie *sec+

inte"io" lining s#ecific heat *%/%g+

% B inte"io" lining the"al con$ucti)it! *%/+

inte"io" lining thic%ness *+

9<!<.2= se

Reference: SFPE Han!ook of Fire Protection Engineering, "r Eition, 2002, Page "#$7%.

T$ > <." ?;2 )##A

@#&

@(1)2( #A

T&

6((1)9

∆Tg B T

g T

aB

u##e" la!e" gas te#e"atu"e "ise a'o)e a'ient *+

&) B a"ea of )entilation o#ening *2+

h) B

h% B con)ecti)e heat t"ansfe" coefficient *%/2+

&T B total a"ea of the co#a"tent enclosing su"face

'oun$a"ies exclu$ing a"ea of )ent o#enings *2+

A@ > #B

@( #&

@(

&) B a"ea of )entilation

o#ening *2+

w) B

h) B

A@ > ,2

'4 > #ρ

4 )6( # )2(2

t# B

ρ B inte"io" lining $ensit! *%g/3+

c# B

δ B

'4 >






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He+' Tr+nser Coeiien' C+%0%+'ion

he"e@

t B

See '+%e e%oB or res0%'s #o%0,n 9(

he"e@

co#a"tent wi$th *+

co#a"tent length *+

co#a"tent height *+

"9.

&6 > #6ρ)'( or ' '4 or #6) ( or ' '4

h% B heat t"ansfe"

coefficient *%/2+

%ρc B inte"io" const"uction the"al ine"tia *%/2+2sec

*a the"al #"o#e"t! of ate"ial "es#onsi'le fo" the "ate ofte#e"atu"e "ise+

tie afte" ignition*sec+

Are+ o Co,4+r',en' En%osin$ S0r+e*o0n-+ries

T > B

B

7

@

&T B total a"ea of the co#a"tent enclosing su"face 'oun$a"ies exclu$ing a"ea of )ent o#enings *2+

wc B

lc B

hc B

&) B a"ea of )entilation o#ening *2+

A > ,2






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Res0%'s Ti,e A'er I$ni'ion #'(

#,in( #se( #K( #K( #C( #F(

! !.!! 7 7 2.!! 2".!! JJ.!!

1 <! !.!" 1.< =J.< 22=.< =9<.==

2 12! !.!= 22=.1= "22.1= 2=.1= =!.="

9 1! !.!9 29.1 "9J.1 2<=.1 "!.<<

= 2=! !.!9 2"1." "=." 2J<." "2.<" 9!! !.!2 2<1.12 "".12 2<.12 "=J.!2

1! <!! !.!2 29.1! "1.1! 91.1! <!=."

1" !! !.!1 919." <11." 99." <=1.=<

2! 12!! !.!1 92. <2<. 9"9. <<.1

2" 1"!! !.!1 9=1.=< <9.=< 9<<.=< <1.<9

9! 1!! !.!1 9"1. <=. 9J<. J1!."

9" 21!! !.!1 9<1.1< <".1< 9<.1< J2J.!

=! 2=!! !.!1 9<.2 <<J.2 9=.2 J=1.J1

=" 2J!! !.!1 9J<.<! <J=.<! =!1.<! J"=.

"! 9!!! !.!1 99.2 <1.2 =!.2 J<<.!

"" 99!! !.!1 9.=1 <J.=1 =1=.=1 JJJ.=

<! 9<!! !.!1 9".1! <9.1! =2!.1! J.1

T$

> <." ?;2 )##A@

#&@

(1)2( #AT

&6

((1)9

T$ > T

$7 T

+

T$ > T

$ T

+

&6 T$ T$ T$ T$

#6W),27K(






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ESTIMATING SMOKE LAYER HEIGHT

METHOD OF YAMANA AND TANAKA

he"e@

C B so%e la!e" height *+

A B heat "elease "ate of the fi"e *%+

t B tie afte" ignition *sec+

co#a"tent height *+

% B

hot gas la!e" te#e"atu"e *+

Co,4+r',en' Are+ C+%0%+'ion

he"e@

11.1"

Ho' G+s L+/er Densi'/ C+%0%+'ion

C+%0%+'ion or Cons'+n' K

6 >

> ##26;1)9')#9A(( #1)&

2)9((79)2

hc B

&c B co#a"tent floo" a"ea *2+

% B a constant gi)en '! % B 0.076/ρg

ρg B hot gas la!e" $ensit! *%g/3+

ρg

is gi)en '! ρg

B 353/Tg

Tg B

A > #B( #%

(

&c B co#a"tent floo"

a"ea *2+

wc B co#a"tent wi$th

*+

lc B co#a"tent length

*+

A > ,2

ρ

$ > 9"9)T

$

!.!J<)ρ$






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SMOKE GAS LAYER HEIGHT WITH NATURAL VENTILATION

>Res0%'s

Ti,e Cons'+n' #6(

#,in( #6W),7K( #,( #'(

! 1.1 !.!<= 2.== .!!

1 !.J1 !.1!J 1.22 =.!! CAUTION5 SMOKE IS EITING OUT VENT

2 !.< !.112 1.22 =.!! CAUTION5 SMOKE IS EITING OUT VENT

9 !.<< !.11< 1.22 =.!! CAUTION5 SMOKE IS EITING OUT VENT

= !.<= !.11 1.22 =.!! CAUTION5 SMOKE IS EITING OUT VENT" !.<9 !.12! 1.22 =.!! CAUTION5 SMOKE IS EITING OUT VENT

1! !.<! !.12J 1.22 =.!! CAUTION5 SMOKE IS EITING OUT VENT

1" !." !.192 1.22 =.!! CAUTION5 SMOKE IS EITING OUT VENT

2! !."< !.19" 1.22 =.!! CAUTION5 SMOKE IS EITING OUT VENT

2" !."" !.19 1.22 =.!! CAUTION5 SMOKE IS EITING OUT VENT

9! !."= !.1=! 1.22 =.!! CAUTION5 SMOKE IS EITING OUT VENT

9" !."= !.1=2 1.22 =.!! CAUTION5 SMOKE IS EITING OUT VENT

=! !."9 !.1== 1.22 =.!! CAUTION5 SMOKE IS EITING OUT VENT

=" !."2 !.1=" 1.22 =.!! CAUTION5 SMOKE IS EITING OUT VENT

"! !."2 !.1=J 1.22 =.!! CAUTION5 SMOKE IS EITING OUT VENT

"" !."1 !.1= 1.22 =.!! CAUTION5 SMOKE IS EITING OUT VENT

<! !."1 !.1= 1.22 =.!! CAUTION5 SMOKE IS EITING OUT VENT

?#26;1)9')#9A( #1)&2)9(79)2

C+0'ion T&e s,o6e %+/er &ei$&' is + onser@+'i@e es'i,+'e +n- is on%/ in'en-e- 'o 4ro@i-e +n in-i+'ion B&ere'&e &o' $+s %+/er is %o+'e-. C+%0%+'e- s,o6e %+/er &ei$&' e%oB '&e @en' &ei$&' +re no' re-i'+%e sine '&e+%0%+'ion is no' +o0n'in$ or '&e s,o6e ei'in$ '&e @en'.

ρ$

S,o6e L+/erHei$&'

S,o6e L+/erHei$&'

#6$),9(






299016346.xls Page 8 of 8 12/22/2015 07:55:42

NOTE5

P"e#a"e$ '!: =ate: D"ganiCation:

hec%e$ '!: =ate: D"ganiCation:

&$$itional nfo"ation:

S0,,+r/ oRes0%'s

The a'o)e calculations a"e 'ase$ on #"inci#les $e)elo#e$ in the <P an$'oo% of i"e P"otection nginee"ing@ 3"$ $ition@ 2002. alculations a"e 'ase$ once"tain assu#tions an$ ha)e inhe"ent liitations. The "esults of such calculations a! o" a! not ha)e "easona'le #"e$icti)e ca#a'ilities fo" a gi)en situationan$ shoul$ onl! 'e inte"#"ete$ '! an info"e$ use". &lthough each calculation in the s#"ea$sheet has 'een )e"ifie$ with the "esults of han$ calculation@ the"e isno a'solute gua"antee of the accu"ac! of these calculations. &n! (uestions@ coents@ conce"ns@ an$ suggestions@ o" to "e#o"t an e""o"*s+ in the s#"ea$sheet@#lease sen$ an eail to =a)i$.<t"ou#En"c.go) o" ,aee.('alEn"c.go).

0 10 20 30 40 50 600.00

100.00

200.00

300.00

400.00

500.00

600.00

700.00

800.00

900.00

ot as a!e" Te#e"atu"e,atu"al ;entilation *FA Fetho$+

Tie *in+

T e # e " a t u " e * 1 2 +

0 10 20 30 40 50 600.00

2.00

4.00

6.00

8.00

10.00

<o%e a!e" :eight,atu"al ;entilation *Fetho$ of Gaana an$ Tana%a+

Tie *in+

: e i g h t f " o

2 l o o " * f t +

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02.1 Temperature Nv Sup1