| b | Balcony depth [m] |
| Cd | Downstand coefficient [-] |
| Ce | Compartment size coefficient [-] |
| d, dw | Smoke layer depth [m] |
| g | Gavity [N/kg] |
| hb | Height of the balcony [m] |
| ho | Height of the opening [m] |
| Θ | Smoke temperature (growth) [K] |
| ρ0 | Ambient air density [kg/m3] |
| mw , mo | Mass flow of smoke at opening [kg/s] |
| σ | Lumped coefficient equal to 2 [-] |
| P | Perimeter of fire [m] |
| Convecive heat release rate of the fire [kW] | |
| Total heat release rate of the fire [kW] | |
| Ta | Ambient temperature [K] |
| Y, | Height from the floor, to the bottom of |
| zs | smoke layer [m] |
| Wo | Width of the opening [m] |

Figure 1.
The flow of smoke in an undisturbed smoke plume (a) and plume disturbed by a partition of a building – mezzanine (b)

Figure 2.
Different approaches for smoke control in a shopping mall (own work)

Figure 3.
The flow of smoke out of a compartment (a) and underneath a projecting balcony (b)

Figure 4.
The difference between a flow through an opening with a downstand (a), and without a downstand (b), source: own work

Figure 5.
Froude-number scale modeling (a) and CFD study (b) on a smoke flow through an opening

Figure 6.
Numerical model used in the analysis

Figure 7.
Development of the measurement plane used to estimate the mass flow at the proximity of the investigated partition

Figure 8.
1/10th physical scale model with variable width and height of the opening

Figure 9.
Visual comparison of scale (left) and numerical (right) analysis of a smoke flow through compartment with dimensions 8 x 3.50 m

Figure 10.
The mass flow of smoke with changing width of the opening, for various heights of the opening, at HRR = 2.50 MW

Figure 11.
The mass flow of smoke with changing width of the opening, for various heights of the opening, at HRR = 5.00 MW

Figure 12.
Mass density of the smoke at the height of 2.00 m above the floor, for various sizes of the opening, at steady-state conditions in the compartment, 2.50 MW fire

Figure 13.
Temperature of the smoke at the height of 2.00 m above the floor, for various sizes of the opening, at steady-state conditions in the compartment, 2.50 MW fire

Figure 14.
Mass density of the smoke at the height of 2.00 m above the floor, for various sizes of the opening, at steady-state conditions in the compartment, 5.00 MW fire

Figure 15.
Temperature of the smoke at the height of 2.00 m above the floor, for various sizes of the opening, at steady-state conditions in the compartment, 5.00 MW fire
Table 1.
The increase of mass flow of smoke at the edge of the balcony and at the exit of the room (Mb/Mo), as function of height and width of the opening and for two different HRR’s, balcony depth = 2.00 m
| Height [m] | Width [m] | |||||||
|---|---|---|---|---|---|---|---|---|
| 2.00 | 4.00 | 6.00 | 8.00 | 10.00 | 12.00 | 14.00 | 16.00 | |
| HRR – 2.50 MW | ||||||||
| 2.5 | 3.04 | 2.40 | 2.11 | 1.89 | 1.74 | 1.73 | 1.69 | 1.73 |
| 3.0 | 2.20 | 2.02 | 1.76 | 1.63 | 1.57 | 1.57 | 1.57 | 1.61 |
| 3.5 | 2.21 | 1.70 | 1.53 | 1.32 | 1.42 | 1.42 | 1.45 | 1.48 |
| 4.0 | 1.87 | 1.60 | 1.38 | 1.33 | 1.30 | 1.29 | 1.29 | 1.32 |
| 4.5 | 1.68 | 1.38 | 1.22 | 1.22 | 1.20 | 1.20 | 1.32 | 1.16 |
| 5.0 | 1.54 | 1.25 | 1.16 | 1.11 | 1.08 | 1.06 | 1.06 | 1.06 |
| HRR – 5.00 MW | ||||||||
| 2.5 | 4.67 | 3.29 | 2.70 | 2.38 | 2.21 | 2.39 | 2.02 | 1.99 |
| 3.0 | 2.96 | 2.14 | 1.83 | 1.51 | 1.58 | 1.50 | 1.46 | 1.43 |
| 4.0 | 2.49 | 1.88 | 1.63 | 1.51 | 1.43 | 1.36 | 1.32 | 1.31 |
| 4.5 | 2.21 | 1.68 | 1.48 | 1.37 | 1.29 | 1.23 | 1.22 | 1.20 |
| 5.0 | 1.97 | 1.50 | 1.33 | 1.23 | 1.19 | 1.15 | 1.16 | 1.15 |
Table 2.
The increase of mass flow of smoke at the edge of the balcony and at the exit of the room (Mb/Mo), as function of height and width of the opening and for two different HRR’s, balcony depth = 4.00 m
| Height [m] | Width [m] | |||||||
|---|---|---|---|---|---|---|---|---|
| 2.00 | 4.00 | 6.00 | 8.00 | 10.00 | 12.00 | 14.00 | 16.00 | |
| HRR – 2.50 MW | ||||||||
| 2.5 | 4.34 | 3.38 | 2.76 | 2.36 | 2.10 | 2.00 | 1.87 | 1.89 |
| 3.0 | 3.24 | 2.79 | 2.33 | 2.09 | 1.94 | 1.87 | 1.82 | 1.81 |
| 3.5 | 3.24 | 2.31 | 1.98 | 1.63 | 1.74 | 1.69 | 1.69 | 1.69 |
| 4.0 | 2.73 | 2.10 | 1.74 | 1.62 | 1.55 | 1.51 | 1.49 | 1.48 |
| 4.5 | 2.40 | 1.79 | 1.47 | 1.47 | 1.40 | 1.36 | 1.52 | 1.28 |
| 5.0 | 2.18 | 1.62 | 1.41 | 1.29 | 1.24 | 1.19 | 1.18 | 1.16 |
| HRR – 5.00 MW | ||||||||
| 2.5 | 7.05 | 4.67 | 3.66 | 3.12 | 2.77 | 2.91 | 2.39 | 2.27 |
| 3.0 | 4.48 | 2.98 | 2.43 | 1.86 | 1.98 | 1.83 | 1.76 | 1.68 |
| 4.0 | 3.71 | 2.53 | 2.07 | 1.86 | 1.72 | 1.60 | 1.55 | 1.48 |
| 4.5 | 3.18 | 2.20 | 1.81 | 1.62 | 1.52 | 1.42 | 1.36 | 1.33 |
| 5.0 | 2.81 | 1.94 | 1.62 | 1.43 | 1.35 | 1.29 | 1.26 | 1.24 |
Table 3.
The increase of mass flow of smoke at the edge of the balcony and at the exit of the room (Mb/Mo), as function of height and width of the opening and for two different HRR’s, balcony depth = 6.00 m
| Height [m] | Width [m] | |||||||
|---|---|---|---|---|---|---|---|---|
| 2.00 | 4.00 | 6.00 | 8.00 | 10.00 | 12.00 | 14.00 | 16.00 | |
| HRR – 2.50 MW | ||||||||
| 2.5 | 6.76 | 4.45 | 3.46 | 2.90 | 2.51 | 2.45 | 2.35 | 2.30 |
| 3.0 | 4.48 | 3.64 | 2.91 | 2.53 | 2.31 | 2.19 | 2.10 | 2.09 |
| 3.5 | 4.48 | 3.02 | 2.49 | 1.95 | 2.04 | 1.96 | 1.93 | 1.93 |
| 4.0 | 3.74 | 2.75 | 2.18 | 1.96 | 1.82 | 1.75 | 1.70 | 1.70 |
| 4.5 | 3.27 | 2.31 | 1.77 | 1.77 | 1.65 | 1.57 | 1.73 | 1.43 |
| 5.0 | 2.94 | 2.09 | 1.76 | 1.58 | 1.47 | 1.38 | 1.34 | 1.32 |
| HRR – 5.00 MW | ||||||||
| 2.5 | 7.05 | 4.67 | 3.66 | 3.12 | 2.77 | 2.91 | 2.39 | 2.27 |
| 3.0 | 4.48 | 2.98 | 2.43 | 1.86 | 1.98 | 1.83 | 1.76 | 1.68 |
| 4.0 | 3.71 | 2.53 | 2.07 | 1.86 | 1.72 | 1.60 | 1.55 | 1.48 |
| 4.5 | 3.18 | 2.20 | 1.81 | 1.62 | 1.52 | 1.42 | 1.36 | 1.33 |
| 5.0 | 2.81 | 1.94 | 1.62 | 1.43 | 1.35 | 1.29 | 1.26 | 1.24 |
Table 4.
The increase of mass flow of smoke at the edge of the balcony and at the exit of the room (Mb/Mo), as function of height and width of the opening and for two different HRR’s, balcony depth = 8.00 m
| Height [m] | Width [m] | |||||||
|---|---|---|---|---|---|---|---|---|
| 2.00 | 4.00 | 6.00 | 8.00 | 10.00 | 12.00 | 14.00 | 16.00 | |
| HRR – 2.50 MW | ||||||||
| 2.5 | 7.71 | 5.29 | 4.16 | 3.50 | 3.04 | 2.86 | 2.66 | 2.53 |
| 3.0 | 5.45 | 4.39 | 3.51 | 3.06 | 2.74 | 2.59 | 2.46 | 2.48 |
| 3.5 | 5.45 | 3.73 | 2.98 | 2.34 | 2.43 | 2.32 | 2.26 | 2.25 |
| 4.0 | 4.67 | 3.42 | 2.65 | 2.34 | 2.16 | 2.06 | 1.99 | 1.99 |
| 4.5 | 4.13 | 2.90 | 2.12 | 2.12 | 1.98 | 1.87 | 2.04 | 1.67 |
| 5.0 | 3.78 | 2.67 | 2.16 | 1.95 | 1.80 | 1.67 | 1.61 | 1.56 |
| HRR – 5.00 MW | ||||||||
| 2.5 | 12.35 | 7.70 | 5.69 | 4.76 | 4.11 | 4.17 | 3.23 | 2.94 |
| 3.0 | 8.33 | 5.01 | 3.78 | 2.66 | 2.78 | 2.50 | 2.30 | 2.10 |
| 4.0 | 6.98 | 4.21 | 3.18 | 2.66 | 2.38 | 2.17 | 2.01 | 1.83 |
| 4.5 | 5.88 | 3.60 | 2.77 | 2.32 | 2.11 | 1.93 | 1.78 | 1.64 |
| 5.0 | 5.15 | 3.23 | 2.53 | 2.11 | 1.94 | 1.81 | 1.67 | 1.57 |