Radiation shields

Input(s)

k\mathrm{k}: Stefan-Boltzmann Constant (BTU/sft2R4)\left(\mathrm{BTU} / \mathrm{s} \mathrm{ft}^{2}{ }^{\circ} \mathrm{R}^{4}\right)

TiT_{i}: First Sheet's Temperature (K)

Ti+1T_{i+1}: Next Sheet's Temperature (K)

Qi,i+1Q_{i, i+1}: Heat Transfer Rate (BTU/s)

Output(s)

Ri,i+1R_{i, i+1}: Resistance to Radiation (ft2 K/W)\left(\mathrm{ft}^{2} \mathrm{~K} / \mathrm{W}\right)

Formula(s)

Ri,i+1=σ( Ti4Ti+14)Qi,i+1\mathrm{R}_{\mathrm{i}, \mathrm{i}+1}=\frac{\sigma *\left(\mathrm{~T}_{\mathrm{i}}^{4}-\mathrm{T}_{\mathrm{i}+1}^{4}\right)}{\mathrm{Q}_{\mathrm{i}, \mathrm{i}+1}}

Reference(s)

Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons, Chapter: 16, Page: 509.

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