A model for melting of a pure material during modulated temperature differential scanning calorimetry

Nikolopoulos, C

dc.contributor.author	Nikolopoulos, C	en
dc.date.accessioned	2014-03-01T01:17:21Z
dc.date.available	2014-03-01T01:17:21Z
dc.date.issued	2002	en
dc.identifier.issn	0036-1399	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/14486
dc.subject	Free boundary problems	en
dc.subject	Heat equation	en
dc.subject	Modulated temperature differential scanning calorimetry	en
dc.subject	Perturbation methods	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	Approximation theory	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Boundary value problems	en
dc.subject.other	Computer simulation	en
dc.subject.other	Differential scanning calorimetry	en
dc.subject.other	Enthalpy	en
dc.subject.other	Melting	en
dc.subject.other	Optimization	en
dc.subject.other	Ordinary differential equations	en
dc.subject.other	Partial differential equations	en
dc.subject.other	Perturbation techniques	en
dc.subject.other	Specific heat	en
dc.subject.other	Enthalpy method	en
dc.subject.other	Latent heat	en
dc.subject.other	Modulated temperature differential scanning calorimetry	en
dc.subject.other	Two phase Stefan problem	en
dc.subject.other	Mathematical models	en
dc.title	A model for melting of a pure material during modulated temperature differential scanning calorimetry	en
heal.type	journalArticle	en
heal.identifier.primary	10.1137/S003613990038195X	en
heal.identifier.secondary	http://dx.doi.org/10.1137/S003613990038195X	en
heal.language	English	en
heal.publicationDate	2002	en
heal.abstract	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.	en
heal.publisher	SIAM PUBLICATIONS	en
heal.journalName	SIAM Journal on Applied Mathematics	en
dc.identifier.doi	10.1137/S003613990038195X	en
dc.identifier.isi	ISI:000175415600004	en
dc.identifier.volume	62	en
dc.identifier.issue	4	en
dc.identifier.spage	1176	en
dc.identifier.epage	1196	en