Extension of the definition of entropy and temperature for thermodynamic systems defined by more than two independent variables

Kouremenos, DA

dc.contributor.author	Kouremenos, DA	en
dc.date.accessioned	2014-03-01T01:48:35Z
dc.date.available	2014-03-01T01:48:35Z
dc.date.issued	1999	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/25523
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0033300463&partnerID=40&md5=b038b32ed525f9344e793577cea4ba74	en
dc.subject.other	Combustion	en
dc.subject.other	Differential equations	en
dc.subject.other	Entropy	en
dc.subject.other	Problem solving	en
dc.subject.other	Temperature	en
dc.subject.other	Internal energy	en
dc.subject.other	Pressure functions	en
dc.subject.other	Thermodynamics	en
dc.title	Extension of the definition of entropy and temperature for thermodynamic systems defined by more than two independent variables	en
heal.type	journalArticle	en
heal.publicationDate	1999	en
heal.abstract	In a previous paper [1] by the same author, it has been shown how to define the entropy and temperature of a thermodynamic system by using a system of two differential equation. This way of definition concerned thermodynamic system that can be described by only two independent variables such as volume v and internal energy u. By the present work this definition is shown to be valid even for more complicated systems described by more than two independent variables such as the ones that include chemical reactions, burning processes or any other. From the mathematical point of view, the extension of definition of entropy and temperature to thermodynamic systems with more than two independent variables is equivalent to finding an integrating factor for Pffafian forms having more than two independent variables. This mathematical problem is not generally solved, if such a solution is possible at all. But for the case concerned here, the special differential forms defining the entropy and temperature can deliver solutions of the problem, as it is shown in the paper. In this way, after having obtained these special solutions there is no need to prove the mathematical existence of solutions for this system of differential forms.	en
heal.publisher	ASME, Fairfield, NJ, United States	en
heal.journalName	American Society of Mechanical Engineers, Advanced Energy Systems Division (Publication) AES	en
dc.identifier.volume	39	en
dc.identifier.spage	243	en
dc.identifier.epage	246	en