Abstract
Fire releases a great amount of heat that causes the heated gas to expand. The expansion produced by a fire in a room drives some of the gas out of the room. Any opening through which gas can flow out of the fire room is called a vent.
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Notes
- 1.
Equation 15.23 should be written u = (sign Δp)K \( \sqrt{\mathrm{T}\left|\Delta p\right|} \) since when Δ p < 0 the absolute value must be used to avoid the square root of a negative number and the sign of the velocity changes since the flow is in and not out.
- 2.
Sometimes the mean temperatures, \( \overline{T} \) of the two-layer model and the real flow are also used and both h n and T u are determined (using T d as above). The requirement of identical \( \overline{T} \) is arbitrary, sometimes leads to impractical results, and is not recommended.
References
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Nomenclature and Subscripts
- A
-
Area (m2)
- a
-
Length (m)
- b
-
Width (m)
- C
-
Flow coefficient (−)
- c p
-
Specific heat at constant pressure (kJ/kg K)
- c v
-
Specific heat at constant volume (kJ/kg K)
- D
-
Orifice diameter (m)
- Fr
-
Froude number (−)
- g
-
Gravity constant (m/s2)
- Gr
-
Grashof number (−)
- h
-
Height (m)
- [J]
-
Jacobian matrix
- L
-
Orifice length (m)
- M
-
Molecular weight (kg/kg mol)
- ṁ
-
Mass flow rate (kg/s)
- P
-
Perimeter (m)
- p
-
Pressure (Pa)
- \( \dot{Q} \)
-
Heat release rate of fire source (kW)
- \( \dot{Q}{}_h \)
-
Heat loss by heat transfer (kW)
- R
-
Gas constant (J/kg mol K)
- Re
-
Reynolds number (−)
- T
-
Temperature (K)
- u
-
Velocity (m/s)
- V
-
Volume (m3)
- \( \dot{V} \)
-
Volume flow rate (m3/s)
- V R
-
Room volume (m3)
- y
-
Vertical coordinate (m)
- α K
-
Effective heat transfer coefficient (kW/m2K)
- Δ
-
Increment of
- δ
-
Depth (see Fig. 15.6) (m)
- γ = c p /c v
-
Isentropic exponent (−)
- Π
-
Non-dimensional pressure (−)
- ρ
-
Density (kg/m3)
- μ
-
Viscosity (Ns/m2)
- a
-
Atmosphere
- b
-
Sill of vent
- c
-
Ceiling of room
- d
-
Lower
- f
-
Floor
- g
-
Gauge
- i
-
Hot-cold interface
- ij
-
From room (layer) i to room (layer) j
- j
-
Index of layer
- L, l
-
Lower
- n
-
Neutral axis
- O2
-
Oxygen
- t
-
Soffit of vent
- u, U
-
Upper
- v, V
-
Vent, in the vent
- 0
-
Reference height
- 1
-
Upstream of orifice
- 2
-
Downstream of orifice
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Tanaka, T. (2016). Vent Flows. In: Hurley, M.J., et al. SFPE Handbook of Fire Protection Engineering. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-2565-0_15
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