Thermal energy of a fissionable substance
Input(s)
\(S_{n o}\): Rate of Heat Production at Center of Substance \(\left(\mathrm{cal} / \mathrm{cm}^{3} \mathrm{~s}\right)\)
b: Constant of Fission (dimensionless)
\(\mathrm{r}\): Radius of Centre of Sphere \((\mathrm{cm})\)
\(R^{F}\): Radius of Fissionable Material \((\mathrm{cm})\)
Output(s)
\(S_{n}\): Thermal Energy Resulting from Volume Source \(\left(\mathrm{cal} / \mathrm{cm}^{3} \mathrm{~s}\right)\)
Formula(s)
\[
\mathrm{S}_{\mathrm{n}}=\mathrm{S}_{\mathrm{no}} *\left(1+\mathrm{b} *\left(\left(\frac{\mathrm{r}}{\mathrm{R}^{\mathrm{F}}}\right)^{2}\right)\right)
\]
Reference(s)
Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons, Chapter: 10, Page: 296.