Unterschiede
Hier werden die Unterschiede zwischen zwei Versionen angezeigt.
| Beide Seiten der vorigen RevisionVorhergehende ÜberarbeitungNächste Überarbeitung | Vorhergehende Überarbeitung | ||
| en:grundlagenhandbuch:aufschmelzberechnung [2026/09/04 09:37] – [Temperature of the Solids at the Location of the First Melt] paal | en:grundlagenhandbuch:aufschmelzberechnung [2026/09/04 09:40] (aktuell) – [Temperature of the Solids at the Location of the First Melt] paal | ||
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| Zeile 104: | Zeile 104: | ||
| $$\frac{\partial\theta}{\partial\tau} = \frac{1}{\xi^2}\frac{\partial}{\partial\xi}\left(\xi^2\frac{\partial\theta}{\partial\xi}\right)\tag{12}$$ | $$\frac{\partial\theta}{\partial\tau} = \frac{1}{\xi^2}\frac{\partial}{\partial\xi}\left(\xi^2\frac{\partial\theta}{\partial\xi}\right)\tag{12}$$ | ||
| - | whereby these standardization' | + | whereby these standardizations: |
| $$\theta = \frac{T - T_0}{T_0 - T_U} ; \tau = \frac{at}{r_0^2} ; \xi = \frac{r}{r_0} \tag{13}$$ | $$\theta = \frac{T - T_0}{T_0 - T_U} ; \tau = \frac{at}{r_0^2} ; \xi = \frac{r}{r_0} \tag{13}$$ | ||
| Zeile 118: | Zeile 118: | ||
| and the boundary conditions | and the boundary conditions | ||
| - | $$\left(\frac{1}{Bi} \frac{\partial \theta}{\partial \xi} + \theta\right)_{\xi=1} = \begin{cases}1 \text{ | + | $$\left(\frac{1}{Bi} \frac{\partial \theta}{\partial \xi} + \theta\right)_{\xi=1} = \begin{cases}1 \text{ |
| as a solution of the average caloric temperature of the particle: | as a solution of the average caloric temperature of the particle: | ||