Introduction to Fire Dynamics | Ch. 6 | Eq. 6.33

Time to Ignition (Thermally Thin Solids)

Calculates the time to ignition for a thermally thin solid assuming a constant external heat flux and ignoring heat losses

Reference

Drysdale, D., 2011. Introduction to fire dynamics. 3rd ed. Wiley.

Equations

t_{ig} = \rho \cdot c \cdot \tau \cdot \left( T_{ig} - T_0 \right) \cdot \dfrac{1}{\dot{q}''_r}

Density ( \rho ) — kg/m^{3}

Specific heat capacity ( c ) — J/(kg \cdot K)

Thickness ( \tau ) — m

Ignition temperature ( T_{ig} ) — K

Initial temperature ( T_0 ) — K

Radiant heat flux ( \dot{q}''_r ) — W/m^{2}