Thermoelectric materials have been used for cooling and heating systems for
over a hundred years. Today practical applications of thermoelectric devices
include cooling car seats, power generation, and
refrigeration. Thermoelectric materials are special for their ability to
convert temperature imbalances into electricity. Their applications can
inform the discourse about the transition to renewable energy
sources---something that our Earth most desperately needs. The goal of this
dissertation is to describe how the effective tensors of two-dimensional
thermoelectric composites made from two isotropic materials depend on
thermoelectric parameters of the constituents. Using the theory of exact
relations and links developed by Grabovsky and his collaborators, we
describe all equations satisfied by the thermoelectric effective tensor of a
composite without the explicit knowledge of its microstructure. In some
special cases, the effective tensor can be determined completely. Even in
the general case, four out of 10 components of the two-dimensional
thermoelectric tensor can be expressed in terms of the remaining 6,
regardless of the microstructure. We started with special cases and worked
our way up to the more general ones. / Mathematics
| Identifer | oai:union.ndltd.org:TEMPLE/oai:scholarshare.temple.edu:20.500.12613/327 |
| Date | January 2020 |
| Creators | Childs, Sarah Rebekah |
| Contributors | Grabovsky, Yury, Grabovsky, Yury, Lorenz, Martin, 1951-, Dolgushev, Vasily, Jekel, Solomon |
| Publisher | Temple University. Libraries |
| Source Sets | Temple University |
| Language | English |
| Detected Language | English |
| Type | Thesis/Dissertation, Text |
| Format | 57 pages |
| Rights | IN COPYRIGHT- This Rights Statement can be used for an Item that is in copyright. Using this statement implies that the organization making this Item available has determined that the Item is in copyright and either is the rights-holder, has obtained permission from the rights-holder(s) to make their Work(s) available, or makes the Item available under an exception or limitation to copyright (including Fair Use) that entitles it to make the Item available., http://rightsstatements.org/vocab/InC/1.0/ |
| Relation | http://dx.doi.org/10.34944/dspace/311, Theses and Dissertations |
Page generated in 0.0023 seconds