Smoke Layer Simulator: Compartment Smoke Filling & Descent

simulator intermediate ~10 min
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t ≈ 142 s to critical smoke height

A 500 kW fire in a 100 m² room with 4 m ceiling height fills the upper layer to the 2 m critical height in approximately 142 seconds, providing about 2.4 minutes for evacuation.

Formula

ṁ_p = 0.071 Q_c^(1/3) z^(5/3) + 0.0018 Q_c (plume mass flow)
A · dz/dt = −ṁ_p / ρ_s (layer descent rate)
T_s = T∞ + Q̇ / (ṁ_p · c_p) (smoke temperature)

The Two-Zone Model

When a fire starts in an enclosed space, the buoyant plume carries hot combustion products to the ceiling, where they spread laterally and form a distinct hot upper layer. Below remains a cooler, clearer lower layer where occupants can still breathe and see. This two-zone approximation — a well-mixed hot upper layer and a cool lower layer separated by a sharp interface — is the foundation of compartment fire modeling and smoke management design.

Rate of Smoke Descent

The smoke layer descends as the plume continuously feeds hot gas into the upper layer. The descent rate depends on the balance between the plume's mass flow rate (which grows with height above the fire) and the room's cross-sectional area. In the early stages with high ceilings, the plume entrains significant air and the layer descends quickly. As the layer thickens and the plume height decreases, entrainment drops and descent slows — a self-regulating but ultimately insufficient mechanism.

Tenability and Evacuation

The smoke layer represents multiple hazards: elevated temperature (burns and heat stroke), toxic gases (CO and HCN), and reduced visibility (disorientation and panic). Fire engineers define tenability limits — typically 60°C temperature, 1400 ppm CO, and 10 m visibility — and calculate when the smoke layer descends past the critical height where these limits are exceeded. The Available Safe Egress Time (ASET) must exceed the Required Safe Egress Time (RSET) with a safety margin.

Smoke Management Systems

Mechanical smoke exhaust, natural smoke vents, and pressurization systems are designed to maintain tenable conditions during evacuation. The design process uses zone models or CFD simulations to predict smoke layer behavior and specify exhaust rates. Standards like NFPA 92 and EN 12101 provide frameworks for smoke control design in atriums, shopping malls, tunnels, and high-rise buildings.

FAQ

How does smoke filling work in a room?

Smoke from a fire rises as a buoyant plume and collects at the ceiling, forming a hot upper layer that descends over time. The rate of descent depends on the fire's heat release rate (which drives plume entrainment), the room's floor area (which determines the volume to fill), and the ceiling height. This two-zone model is the basis of smoke management design.

What is the critical smoke height?

The critical smoke height is the minimum clear layer height needed for safe evacuation, typically 2.0-2.5 m above the floor. Below this height, occupants are exposed to hot, toxic, and obscuring smoke. Building codes and fire engineering guides specify minimum clear heights depending on occupancy type.

How is smoke layer temperature calculated?

The smoke layer temperature is determined by the heat release rate divided by the mass flow rate of the plume and the specific heat capacity of air: ΔT = Q̇/(ṁ·cp). As the layer descends and the plume height decreases, entrainment drops and descent slows — a self-regulating but ultimately insufficient mechanism.

What role does ventilation play?

Natural or mechanical ventilation can remove smoke from the upper layer, slowing or halting its descent. Smoke exhaust systems are designed to maintain the smoke layer above the critical height for the required evacuation period. Make-up air must be supplied at low level to replace exhausted smoke.

Sources

Embed

<iframe src="https://homo-deus.com/lab/fire-engineering/smoke-layer/embed" width="100%" height="400" frameborder="0"></iframe>
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