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

Zabrocki, Knud and Laval, Gautier and Seifert, Wolfgang and Goupil, Christophe and 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, November 18.-20., 2013, Noordwijk, The Netherlands.

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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.

Item URL in elib:https://elib.dlr.de/86009/
Document Type:Conference or Workshop Item (Poster)
Title:Generalized Heat Equation and the Influence of the Leg Geometry on the Performance of a Thermoelectric Element
AuthorsInstitution or Email of AuthorsAuthor's ORCID iD
Zabrocki, KnudGerman Aerospace Center, Institute of Materials Research, Köln, GermanyUNSPECIFIED
Laval, GautierLaboratoire CRISMAT ENSICAEN, Caen, FranceUNSPECIFIED
Seifert, WolfgangInstitute of Physics, Martin Luther University Halle-Wittenberg, GermanyUNSPECIFIED
Goupil, ChristopheLIED, Université Paris Diderot, FranceUNSPECIFIED
Müller, EckhardGerman Aerospace Center, Institute of Materials Research, Köln, GermanyUNSPECIFIED
Date:19 November 2013
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In ISI Web of Science:No
Keywords:thermoelectric performance; leg geometry; CPM; heat equation
Event Title:11th European Conference on Thermoelectrics
Event Location:Noordwijk, The Netherlands
Event Type:international Conference
Event Dates:November 18.-20., 2013
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Transport
HGF - Program Themes:Terrestrial Vehicles (old)
DLR - Research area:Transport
DLR - Program:V BF - Bodengebundene Fahrzeuge
DLR - Research theme (Project):V - Project Fahrzeugenergiesysteme III (old)
Location: Köln-Porz
Institutes and Institutions:Institute of Materials Research > Thermoelectric Materials and Systems
Deposited By: Zabrocki, Dr. Knud
Deposited On:02 Dec 2013 07:11
Last Modified:31 Jul 2019 19:43

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