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

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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 http://hdl.handle.net/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


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