Temperature excursion: difference between revisions
Diff·revision 14 → 15·02:38, 27 Aug 2025
Difference between revision 14 and revision 15 of Temperature excursion. 5 lines changed; the page grew by 272 bytes.
| Revision 14 — 13:27, 10 Aug 2025 AppealsArno (talk) expand §Labelled allowances and in-use periods 13,899 bytes +485 | Revision 15 — 02:38, 27 Aug 2025 FreightFenna (talk) state the residual-moisture target with the method it is measured by 14,171 bytes +272 | ||
|---|---|---|---|
| 85 | {{math|e^{−33.8811} × (96 + 624 × 0.1261) ÷ 720 = e^{−33.8811} × 174.7 ÷ 720 = e^{−33.8811} × 0.2426}} | 85 | {{math|e^{−33.8811} × (96 + 624 × 0.1261) ÷ 720 = e^{−33.8811} × 174.7 ÷ 720 = e^{−33.8811} × 0.2426}} |
| 86 | 86 | ||
| + | 87 | and | |
| + | 88 | ||
| 87 | === Why the two means diverge === | 89 | === Why the two means diverge === |
| 88 | 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. | 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. |
| ⋮ | ⋮ | ||
| 95 | {{math|exp[10000 × (1/298.15 − 1/308.15)] = exp(1.0884) = 2.97}} | 97 | {{math|exp[10000 × (1/298.15 − 1/308.15)] = exp(1.0884) = 2.97}} |
| 96 | 98 | ||
| + | 99 | so approximately a threefold acceleration per 10 K. This is the origin of the informal expectation that degradation roughly triples for each 10 °C, and it is the reason a short warm interval can outweigh a long cold one.{{r|waterman2005}} | |
| + | 100 | ||
| 97 | == References == | 101 | == References == |
| 98 | {{reflist}} | 102 | {{reflist}} |
| ⋮ | ⋮ | ||
| 119 | * [[Deamidation]] | 123 | * [[Deamidation]] |
| 120 | * [[Methionine oxidation]] | 124 | * [[Methionine oxidation]] |
| + | 125 | * [[Peptide aggregation]] | |
| 121 | 126 | ||
| 122 | {{DEFAULTSORT:Temperature excursion}} | 127 | {{DEFAULTSORT:Temperature excursion}} |