A Model for Melting of a Pure Material During Modulated Temperature Differential Scanning Calorimetry

A Model for Melting of a Pure Material During Modulated Temperature Differential Scanning Calorimetry

We model the melting of a pure material during modulated temperature differential scanning calorimetry (MTDSC) as a one-dimensional two-phase Stefan problem. For the case in which the latent heat is large, we obtain an analytical approximate solution using perturbation methods. For small latent heat...

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Veröffentlicht in:SIAM journal on applied mathematics 2002-04, Vol.62 (4), p.1176-1196
1. Verfasser: Nikolopoulos, C.
Format: Artikel
Sprache:eng
Schlagworte:
Approximation
Differentials
Enthalpy
Experiments
Heat
Heat measurement
Heat transfer
Latent heat
Melting
Phase transitions
Specific heat
Temperature
Temperature control
Temperature gradients
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Beschreibung
Zusammenfassung:We model the melting of a pure material during modulated temperature differential scanning calorimetry (MTDSC) as a one-dimensional two-phase Stefan problem. For the case in which the latent heat is large, we obtain an analytical approximate solution using perturbation methods. For small latent heat we solve the problem numerically by the enthalpy method. Also we analyze the solution for small times. Finally, the results are used to simulate MTDSC signal during the melting.
ISSN:0036-1399
1095-712X
DOI:10.1137/S003613990038195X