Consider a cylindrical furnace of $5 \: m$ diameter and $5 \:m$ length with bottom, top and curved surfaces maintained at uniform temperatures of $800 \mathrm{~K}, 1500 \mathrm{~K}$ and $500 \mathrm{~K}$, respectively. The view factor between the bottom and top surfaces, $\mathrm{F}_{12}$ is $0.2$. The magnitude of net radiation heat transfer rate between the bottom surface and the curved surface is _________ $\mathrm{~kW}$ (rounded off to $1$ decimal place).
All surfaces of the furnace can be assumed as black.
The Stefan-Boltzmann constant, $\sigma=5.67 \times 10^{-8} \mathrm{~W} \mathrm{~m}^{-2} \mathrm{~K}^{-4}$.
