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Microsystem Technologies
Published in: Microsystem Technologies 2/2020

12-06-2019 | Technical paper

On thermoelectric materials with memory-dependent derivative and subjected to a moving heat source

Authors: Mohamed H. Hendy, Sayed I. El-Attar, Magdy A. Ezzat

Published in: Microsystem Technologies | Issue 2/2020

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Abstract

We develop a model of generalized thermoelasticity with memory-dependent derivative (MDD) heat conduction law for a thermoelectric half-space. Some urgent theories take after as most remote point cases. The Laplace transform and state-space procedures are utilized to urge the overall account for any arrangement of limit conditions. The general solution acquired is connected to the particular issue of a half-space exposed to a uniform magnetic field, a moving heat source with consistent speed and ramp-type heating. The inverse Laplace transforms are registered numerically. The impacts of various estimations of the figure-of-merit quantity, heat source speed, MDD parameters, the magnetic number and the ramping time parameter are thought about.
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Metadata
Title
On thermoelectric materials with memory-dependent derivative and subjected to a moving heat source
Authors
Mohamed H. Hendy
Sayed I. El-Attar
Magdy A. Ezzat
Publication date
12-06-2019
Publisher
Springer Berlin Heidelberg
Published in
Microsystem Technologies / Issue 2/2020
Print ISSN: 0946-7076
Electronic ISSN: 1432-1858
DOI
https://doi.org/10.1007/s00542-019-04519-8

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