$($Q$8)$ Based on the equation used to calculate upper layer temperature as

shown in the following:

$T_g=480(\frac{(Q^{})}{\sqrt[\phantom{2}]{g}{c}_p{}_{}{T}_{}{A}_o\sqrt[\phantom{2}]{H_o}}{)}^{\frac{2}{3}}(\frac{h_k{A}_T}{\sqrt[\phantom{2}]{g}{c}_p{}_{}{A}_o\sqrt[\phantom{2}]{H_o}}{)}^{-\frac{1}{3}}$

where $T_g$ is the upper gas temperature rise above ambient, $K$;

$Q$ is the heat release rate of fire, kW

g is the gravitational acceleration, $9\mathrm{.}81\frac{m}{s^2}$

$C_p$ is the specific heat capacity of air, $1k\frac{J}{k}gK$

${}_{}$ is the density of air, $1\mathrm{.}18k\frac{g}{m^3}$

$T_{}$ is the ambient air temperature, $310$ K

$A_0$ is the opening area, $m^2$

$H_o$ is the opening height, $m$

$A_T$ is the total area of compartment enclosing surface, $m^2$

$h_k$ is the heat transfer coefficient, $0\mathrm{.}03k\frac{W}{m^2}K$

Calculate the upper$-$layer temperature of a room $3m3m$ in floor area

and $2\mathrm{.}4$ m high with a door opening $2$ m high and $2$ m wide. The fire

source is a steady $800$ kW fire.

Hence by the above equation, or otherwise, discuss the effect on fire

engineering analysis if the ambient temperature is various in different

seasons for identical room geometry and fire source.