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.