Next Article in Journal
Novel Textile Scaffolds Generated by Flock Technology for Tissue Engineering of Bone and Cartilage
Previous Article in Journal
Study of Direct-Contact HfO2/Si Interfaces
Previous Article in Special Issue
Stresses and Displacements in Functionally Graded Materials of Semi-Infinite Extent Induced by Rectangular Loadings
Article Menu

Export Article

Open AccessArticle
Materials 2012, 5(3), 528-539; https://doi.org/10.3390/ma5030528

Exact Solution of a Constraint Optimization Problem for the Thermoelectric Figure of Merit

1
Institute of Physics, University Halle-Wittenberg, Halle D-06099, Germany
2
Institute of Mathematics, University Halle-Wittenberg, Halle D-06099, Germany
*
Author to whom correspondence should be addressed.
Received: 13 January 2012 / Revised: 15 March 2012 / Accepted: 19 March 2012 / Published: 21 March 2012
(This article belongs to the Special Issue Advances in Functionally Graded Materials)
Full-Text   |   PDF [158 KB, uploaded 22 March 2012]   |  

Abstract

In the classical theory of thermoelectricity, the performance integrals for a fully self-compatible material depend on the dimensionless figure of merit zT. Usually these integrals are evaluated for constraints z = const. and zT = const., respectively. In this paper we discuss the question from a mathematical point of view whether there is an optimal temperature characteristics of the figure of merit. We solve this isoperimetric variational problem for the best envelope of a family of curves z(T)T. View Full-Text
Keywords: thermoelectricity; functionally graded material; figure of merit; device optimization thermoelectricity; functionally graded material; figure of merit; device optimization
Figures

Figure 1

This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).
SciFeed

Share & Cite This Article

MDPI and ACS Style

Seifert, W.; Pluschke, V. Exact Solution of a Constraint Optimization Problem for the Thermoelectric Figure of Merit. Materials 2012, 5, 528-539.

Show more citation formats Show less citations formats

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Materials EISSN 1996-1944 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top