Temperature excursion: difference between revisions
Diff·revision 33 → 34·15:04, 1 Sep 2025
Difference between revision 33 and revision 34 of Temperature excursion. 2 lines changed; the page grew by 89 bytes.
| Revision 33 — 09:47, 27 Aug 2025 CustomsClarke (talk) expand §Definition and framing 14,171 bytes +267 | Revision 34 — 15:04, 1 Sep 2025 CDMO_Caradoc (talk) undo good-faith edit: the source does not say this 14,260 bytes +89 | ||
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| + | 89 | {{math|T_{MKT} = 10000 ÷ (33.8811 + 1.4164) = 10000 ÷ 35.2975 = 283.31 K = 10.2 °C}} | |
| + | 90 | ||
| 89 | === Why the two means diverge === | 91 | === Why the two means diverge === |
| 90 | The divergence is a direct consequence of convexity. Degradation rate is a convex function of temperature, so the average of the rates at two temperatures exceeds the rate at their average temperature. Mean kinetic temperature is defined as the temperature whose rate equals the average rate, and therefore always lies at or above the time-weighted arithmetic mean, with equality only for a constant profile. | 92 | The divergence is a direct consequence of convexity. Degradation rate is a convex function of temperature, so the average of the rates at two temperatures exceeds the rate at their average temperature. Mean kinetic temperature is defined as the temperature whose rate equals the average rate, and therefore always lies at or above the time-weighted arithmetic mean, with equality only for a constant profile. |