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從火災科學看消防工程
中央警察大學 消防系主任
沈子勝 教授
課程目標
了解火災在建築物中發展情形。
消防安全工程之內容。
介紹消防安全工程一些技術。
消防工程之目標
人命安全
財物保護
營運不中斷
文化資產的保護
對環境的保護
火災科學(compartment fire)
觀念:
1.區劃空間:
2. 火災:
Plan
Flame - Heat Smoke - Gas
觀念:
4.火災成長:
• Ignition (IG)
• Established Burning (EB)
• Full Room Involvement (FRI)
• Growing Fire
• Fully Developed Fire
• Fire Prevention
Rate
of
Hea
t R
elea
se (
Q)
or
Tem
per
atu
re (
T)
IG
Time
EB
Growing
Fire
Fully
Developed
Fire
FRI
區劃空間火災各個階段(Compartment Fire) 起燃(Ignition)
火羽流(Fire Plume)
天花板下方熱氣流(Ceiling Jet)
兩區域上方煙層(Smoke Layer)
閃燃(Flashover)
全盛期燃燒(Fully Developed)
衰退(Decay)
熱釋放率的重要性
區劃空間火災的動力
性能式消防安全工程設計的基礎
區劃空間內容物品
可動式內容物品
upholstered furniture, boxes, book shelves, rack-storage, electronic equipment, Christmas trees, flammable/combustible pools, etc.
固定式內容物品
wall coverings, wall to wall carpet, paneling, wooden doors, wooden trim/molding, etc.
熱釋放率的量測
3MJ/kgair or 13.1MJ/kgO2的重要性
由消耗的空氣量推測熱釋放率
熱釋放率的量測
Source: SFPE Handbook of Fire Protection Engineering, Fig. 3-1.1
熱釋放率的量測
Source: SFPE Handbook of Fire Protection Engineering, Fig. 3-4.8
Red Chair HRR
0
500
1000
1500
2000
2500
0 50 100 150 200 250 300 350
Time (sec)
HR
R (
kW
)
Green Chair HRR
0
500
1000
1500
2000
2500
0 50 100 150 200 250 300 350 400 450 500
Time (sec)
HR
R (
kW
)
Large Leaf Plant HRR
0
100
200
300
400
500
600
700
0 20 40 60 80 100 120 140 160 180 200 220
Time (sec)
HR
R (
kW
)
Small Leaf Plant HRR
0
200
400
600
800
1000
1200
0 20 40 60 80 100 120 140 160 180 200 220
Time (sec)
HR
R (
kW
)
Cribs and Pallet Stacks
Source: SFPE Handbook of Fire Protection Engineering, Fig. 3-1.3
Geometry of cribs and pallets
Pallet Stack HRR
Source: SFPE Handbook of Fire Protection Engineering, Fig. 3-1.4
Upholstered Furniture HRR
Source: SFPE Handbook of Fire Protection Engineering, Fig. 3-1.6
Upholstered Furniture HRR
Source: SFPE Handbook of Fire Protection Engineering, Fig. 3-1.9
Wardrode
Source: SFPE Handbook of Fire Protection Engineering , Fig. 3-1.12
Wardrobe HRR
Source: SFPE Handbook of Fire Protection Engineering, Fig. 3-1.13
簡化的熱釋放率曲線 HRR
Time
Square-Wave
bt
maxQ
Pool fires, crib fires, wastebaskets, in-depth burning, etc.
簡化的熱釋放率曲線
maxQ
maxQ
Time Time
HRR HRR
bt bt
Furniture, Christmas Trees, Wall Linings, etc.
Triangle
簡化的熱釋放率曲線
Time
HRR
vt
2t
簡化的熱釋放率曲線
2
vttQ kWQst ,
22
1055
skW
tg
gt Time to 1055 kW
簡化的熱釋放率曲線
NFPA 72 (1996), Appendix B
Fast
Medium
Slow
stg 149
sts g 399150
stg 400
簡化的熱釋放率曲線
2
2
2
skW 00659.0 slow
skW 0.006630.0469 medium
skW 0475.0 fast
簡化的熱釋放率曲線
Source: SFPE Handbook of Fire Protection Engineering, Fig. 2-4.3
簡化的熱釋放率曲線 When you construct a heat release rate curve, make
sure that the area under the curve equals the available
energy (combustible mass )
mHcEnergy
bo
ig
t
t
dttQEnergy
bo
ig
t
t
c dttQmH
Smoke toxicity
Temperature of smoke layer
Smoke layer height
Fire Protection Engineering
Fire Protection Engineering
Fire Dynamics (Compartment fire)
Detection system
Suppression system
Smoke control
Human behavior(Evacuation)
Agent application (Fire fighting)
Barriers
Structure
Detection and fire dynamics
FPE 553 Class 9 Lecture Overheads OvrHd 9-9
FLAME
FUEL
Ceiling Jet Correlations
for Unconfined Ceilings
H CEIL
Bouyant
Plume
z
Air Entrainment
Ceiling Jet
To u =
0 Q(t)
for T = T ( Q, r, z, H )
and u = u ( Q, r, z, H )
ceil
ceil
g g .
.
.
r
Lump response actuation model
Response Time
of Spot Type Smoke Detectors
Co= mass concentration
of smoke outside detector
Let C = mass concentration inside detector,
d C i
i
d t =
(C - C ) o i
where (L/v) = time “constant”
L = characteristic length of detector
v = velocity of smoke flowing by detector
FPE 553 Class 3 Lecture Overheads OvrHd 3-8
Suppression system and fire
dynamics
FPE 553 Class 9 Lecture Overheads OvrHd 9-2
RADIATION FL
A
ME
Radiation
FPE 553 Class 9 Lecture Overheads OvrHd 9-3
Sprinkler Actuation Models
Objective- Calculate sprinkler actuation time and corresponding heat release rate;
model input should include sprinkler properties, fire heat release rate
history, and sprinkler location on ceiling
HEAT BALANCE
Rate of Thermal Energy Increase of Sprinkler Link=
Rate of Convective Heating by Ceiling Jet + Rate of Radiant Heating by
Flame/Plume/Jet
- Rate of Conduction to sprinkler frame and piping
FPE 553 Class 9 Lecture Overheads OvrHd 9-4-1
Sprinkler Actuation Model
Neglecting Radiative Heating and Conduction Cooling
q = h (T - T ) g L conv •
= (T - T ) g L mc hA dT
dt L
= (T - T )/ g L
= mc hA
FPE 553 Class 9 Lecture Overheads OvrHd 9-4-2
Sprinkler Actuation Model (Continued)
Convective Heat Transfer Correlation for Forced Convection Over Cylinders and Spheres
2/1
2/12/12/1
][u
RTIu
AkB
vmCL
]Re[ 2/1BL
kNu
L
kh
2/12/1
2/1
vL
kBu
h 47.0Re
40 < Re < 4,000
FPE 553 Class 9 Lecture Overheads OvrHd 9-5
}e){1T - (T T T t/
ogO L
Solution for Constant and Constant T g
t t r
T L T LA
T g
o T
To solve for t when T = T r L LA
)(
)(1/
Og
OLt
TT
TTe
])(
)(1ln[
Og
OLAr
TT
TTt
])(
)(1ln[
2/1
Og
OLA
r
TT
TT
t
u
RTI
FPE 553 Class 9 Lecture Overheads OvrHd 9-6
Plunge Test Tunnel
hinged cover
test sprinkler Heated Air
u = 2.6 m/s
Re-circulation Wind Tunnel (convective heat transfer only limit T .) g
T >> T air LA
)](1ln[
u t- RTI
1/2
r
Og
OL
TT
TT
measure .T , T , T know gOL
*RTI accounts for heat of fusion
as well as heat capacity.
* However, H << mc fusion )T(T OLA
FPE 553 Class 9 Lecture Overheads OvrHd 9-7
FPE 553 Class 9 Lecture Overheads OvrHd 9-8
Measured RTI Values
Type of Sprinkler (ft-sec) (m-sec)
Fast Response (ESFR,
Residential, etc.)
Conventional Response
Fast response devices can be either thin
links or bulbs.
40-50 22-28
130-600 72-360
FPE 553 Class 9 Lecture Overheads OvrHd 9-9
FLAME
FUEL
Ceiling Jet Correlations
for Unconfined Ceilings
H CEIL
Bouyant
Plume
z
Air Entrainment
Ceiling Jet
Q(t)
for T = T ( Q, r, z, H )
and u = u ( Q, r, z, H )
ceil
ceil
g g .
.
.
r
FPE 553 Class 9 Lecture Overheads OvrHd 9-10
Ceiling Jet Correlations
Author Year Actuation Code Sprinkler
1972 Alpert
Heskestad & Delichetsios 1978
Motevalli & Marks 1990
Cooper 1990
Kung et al 1984
DETACT
LAVENT
TDISX SPRINK 1.0
FPE 553 Class 9 Lecture Overheads OvrHd 9-23
Conduction Cooling of Sprinkler Link
WATERWAY
Sprinkler Frame
Link
Assume: 1. Conduction Cooling FL TT
2. Frame remains at initial temperature
because: a) it is more massive than link, b) cooled by
water in pipe.
OF TT
)T-(Tc-)T-(TA h td
T d mc OLLg
L
conductive cooling term c is constant Let
)()()(
mc
hA
dt
T d000
L TThA
cmcTTTT LLg
OLL TTT OGG TTT
FPE 553 Class 9 Lecture Overheads OvrHd 9-24
Sprinkler Convective Heating with
Conduction Heat Loss to Sprinkler Frame and
Water
inertia parameter = (mc/hA)u1/2 = const for sprinkler
If Tg & u are constant ( = const)
]T)uC/ (1 -T[RTI
u
dt
TdL g
L
)}]C/u 1(RTI
tu{ exp1[
)C/u (1
T T 1/2
1/2
1/2
g
L
ceiling jet temperature
rise conduction
parameter convective heating and link
thermal
Q
)uC(1
TTlim
2/1
gL
t
FPE 553 Class 9 Lecture Overheads OvrHd 9-25
FPE 553 Class 9 Lecture Overheads OvrHd 9-26
FMRC 0N0J5.RU/0N1J6.RU
FPE 553 Class 9 Lecture Overheads OvrHd 9-27
T g
t
T L C = 0
C = 1
T
T LA1
LA2
FPE 553 Class 9 Lecture Overheads OvrHd 9-28
C Factor Measurements for 27 sprinkler heads (from
FMRC Report by Bill + Heskestad)
Cmin = 0.52 (m/s)1/2
Cmax = 1.60 (m/s)1/2
typical C approximately equal to:
1.0 (m/s)1/2 for conventional response link
0.60 (m/s)1/2 for fast-response link
FPE 553 Class 9 Lecture Overheads OvrHd 9-29
Let TLA = link actuation temperature rise above To
tr = response time at which TL = TLA
From solution for constant Tg + u
Comparing to solution for C=0, would get some result with a virtual RTI,
RTIV, given by
RTIV = RTI/(1+C/u1/2)
and TLA,virtual = TLA (1 + C/u1/2)
}T
)C/u(1T - 1{ln
)C/u1(u
RTI- t
g
1/2LA
1/21/2r
FPE 553 Class 9 Lecture Overheads OvrHd 9-30
Fire Size at Sprinkler Actuation
QðtÞ ¼ Qacte
0:023Δt
Impact
Equation by Madrzykowski and Vittori
Q
where Q(t) :Heat release rate at time t (kW)
Qact : Heat release rate at activation time (kW)
Δt :Time after sprinkler activation (s)
t : Time (s)
Smoke control
Smoke production-air entrainment
Smoke contents
Narcotic gas, irritant gas
Soot
Volume
Density
temperature
Smoke toxicity
Temperature of smoke layer
Smoke layer height
Smoke control planning
Building smoke control
Area
Uses-high fire load, occupant assembly, no opening, fire source, command center
Vertical-stairwell, elevator, escalator,
Vertical penetration (pipe or shaft)
Smoke control in
Particular structures High-rise building
Atrium
Tunnel
Subway system
Hospital
Historical building
Nuclear facility
Semi-conductor fab
Fire dynamics and life safety
Life safety criteria
Temperature
Radiation (heat flux)
Visibility
Combustion products concentrations (CO, CO2, HCN,…)
Oxygen depletion
Smoke layer height
Evacuation
B route: 避難安全驗證法
Structure evaluation
Structure evaluation
Calculation temperature of post-flashover fire temperature:
Method of Magnusson and Thelandersson • Considering fuel load density, opening factors
and building types
• Construct the temperature curve
Other methods: • Babrauskas and williamson
• EUROCODE
Structure evaluation
Thermal exposure of structure components
Structure performance under load-bearing and heat impact (temperature rise):
Deformation
collapse
Structural elements
Non-load-bearing surfaces--- ceiling, partitions
Deck--- roof, floor
Horizontal supports--- beams, girders
Vertical supports--- columns, load-bearing walls
Evaluation of fire performance
Fire resistance testing methods: International standard- ISO 834
North America- ASTM E119 • 3 criteria: structural stability, integrity,
temperature rise on the unexposed face.
Calculation methods Use numerical method or simplified formulas
Determine the temp. of deformation and its strength during exposure to fire