Radiation shields

Input(s)

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

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

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

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

Output(s)

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

Formula(s)

\[ \mathrm{R}_{\mathrm{i}, \mathrm{i}+1}=\frac{\sigma *\left(\mathrm{~T}_{\mathrm{i}}^{4}-\mathrm{T}_{\mathrm{i}+1}^{4}\right)}{\mathrm{Q}_{\mathrm{i}, \mathrm{i}+1}} \]

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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