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Generalized Heat Equation and the Influence of the Leg Geometry on the Performance of a Thermoelectric Element

Zabrocki, Knud und Laval, Gautier und Seifert, Wolfgang und Goupil, Christophe und Müller, Eckhard (2013) Generalized Heat Equation and the Influence of the Leg Geometry on the Performance of a Thermoelectric Element. 11th European Conference on Thermoelectrics, 2013-11-18 - 2013-11-20, Noordwijk, The Netherlands.

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Kurzfassung

Recently thermoelectricity as a direct energy conversion technology gained a lot of interest. The long known physical effects of thermoelectricity can be applied in solid-state devices, e.g. as thermoelectric generator (TEG) which converts heat into electricity or as a thermoelectric cooler (TEC) in which an electrical current is used to produce a temperature difference. There are several potential applications of thermoelectric power generation, such as waste heat recovery in energy conversion systems, industrial processes or in automotive applications. The performance of a thermoelectric (TE) device depends on various factors besides the material properties which are a focus research target in investigations of thermoelectrics nowadays. Key factors influencing the performance are the working conditions like the junction temperatures and/or heat fluxes, contacting of the TE material to a metal bridge. In this work we want to focus on the influence of the geometry or the topology of a TE element on the performance of a TE device. The framework of the investigation is delivered by the Onsager-deGroot-Callen theory, a kind of field theory in thermoelectricity which provides a thermal energy balance. A literature review shows that up to now the investigations on TE devices with shaped elements are done mostly in a one-dimensional setup. Obviously it is clear that if the TE elements are shaped (non-prismatic, non-cylindrical), the problem is a priori at least two-dimensional. To investigate the influence of the shape the generalized heat balance within the constant properties material approximation is solved with different techniques. First of all the standard quasi-1D calculation which can be done analytically is reviewed. Afterwards a truncated cone as a 2D axisymmetric problem is observed and the impact on the performance highlighted. Arbitrary shapes can be examined with the finite element method (FEM) a numerical method. This method is used to verify the results from the analytical and approximative solutions.

elib-URL des Eintrags:https://elib.dlr.de/86009/
Dokumentart:Konferenzbeitrag (Poster)
Titel:Generalized Heat Equation and the Influence of the Leg Geometry on the Performance of a Thermoelectric Element
Autoren:
AutorenInstitution oder E-Mail-AdresseAutoren-ORCID-iDORCID Put Code
Zabrocki, KnudGerman Aerospace Center, Institute of Materials Research, Köln, GermanyNICHT SPEZIFIZIERTNICHT SPEZIFIZIERT
Laval, GautierLaboratoire CRISMAT ENSICAEN, Caen, FranceNICHT SPEZIFIZIERTNICHT SPEZIFIZIERT
Seifert, WolfgangInstitute of Physics, Martin Luther University Halle-Wittenberg, GermanyNICHT SPEZIFIZIERTNICHT SPEZIFIZIERT
Goupil, ChristopheLIED, Université Paris Diderot, FranceNICHT SPEZIFIZIERTNICHT SPEZIFIZIERT
Müller, EckhardGerman Aerospace Center, Institute of Materials Research, Köln, GermanyNICHT SPEZIFIZIERTNICHT SPEZIFIZIERT
Datum:19 November 2013
Referierte Publikation:Ja
Open Access:Ja
Gold Open Access:Nein
In SCOPUS:Nein
In ISI Web of Science:Nein
Status:veröffentlicht
Stichwörter:thermoelectric performance; leg geometry; CPM; heat equation
Veranstaltungstitel:11th European Conference on Thermoelectrics
Veranstaltungsort:Noordwijk, The Netherlands
Veranstaltungsart:internationale Konferenz
Veranstaltungsbeginn:18 November 2013
Veranstaltungsende:20 November 2013
Veranstalter :ESA
HGF - Forschungsbereich:Luftfahrt, Raumfahrt und Verkehr
HGF - Programm:Verkehr
HGF - Programmthema:Bodengebundener Verkehr (alt)
DLR - Schwerpunkt:Verkehr
DLR - Forschungsgebiet:V BF - Bodengebundene Fahrzeuge
DLR - Teilgebiet (Projekt, Vorhaben):V - Projekt Fahrzeugenergiesysteme III (alt)
Standort: Köln-Porz
Institute & Einrichtungen:Institut für Werkstoff-Forschung > Thermoelektrische Materialien und Systeme
Hinterlegt von: Zabrocki, Dr. Knud
Hinterlegt am:02 Dez 2013 07:11
Letzte Änderung:24 Apr 2024 19:52

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