GATE Mechanical 2024 | Question: 40

Question

Consider a hemispherical furnace of diameter $\text{D}=6 \mathrm{~m}$ with a flat base. The dome of the furnace has an emissivity of $0.7$ and the flat base is a blackbody. The base and the dome are maintained at uniform temperature of $300 \mathrm{~K}$ and $1200 \mathrm{~K}$, respectively. Under steady state conditions, the rate of radiation heat transfer from the dome to the base is _________ $\mathrm{kW}$ (rounded off to the nearest integer).

Use Stefan-Boltzmann constant $=5.67 \times 10^{-8} \mathrm{~W} /\left(\mathrm{m}^{2} \mathrm{~K}^{4}\right)$