Fire Dynamics Tools | Ch. 9 | Eq. 9.2

Maximum Centerline Temperature Rise in Plume

Calculates the maximum centerline temperature rise in a fire plume

Reference

Fire Dynamics Tools (FDTs): Quantitative Fire Hazard Analysis Methods for the U.S. Nuclear Regulatory Commission Fire Protection Inspection Program. NUREG-1805.

Equations

\Delta T_p = 9.1 \frac{ T_a }{ g \cdot c_p^2 \cdot \rho_a^2 } \frac{ \dot{Q}_c^{2/3} }{ (z - z_o)^{5/3} }

Inputs

Ambient temperature ( T_a ) — K

Sweep Goal seek

Convective heat release rate ( \dot{Q}_c ) — kW

Sweep Goal seek

Acceleration due to gravity ( g ) — m/s^{2}

Sweep Goal seek

Specific heat of air ( c_p ) — kJ/(kg \cdot K)

Sweep Goal seek

Density of ambient air ( \rho_a ) — kg/m^{3}

Sweep Goal seek

Height above fire source ( z ) — m

Sweep Goal seek

Virtual origin ( z_o ) — m

Sweep Goal seek