Influence of the electron and phonon temperature and of the electric-charge density on the optimal efficiency of thermoelectric nanowires |
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| Affiliation: | 1. Department of Mathematics and Computer Science, University of Messina, Viale F. Stagno d’Alcontres 31, Messina 98166, Italy;2. Department of Mathematics, Computer Science and Economics, University of Basilicata, Viale dell’Ateneo Lucano 10, Potenza 85100, Italy;1. Department of Mechanical and Aerospace Engineering, University of California, San Diego, CA, USA;2. Department of Mechanical Engineering, University of Massachusetts, Lowell, MA, USA;3. Department of Mechanical, Materials, and Aerospace Engineering, Illinois Institute of Technology, IL, USA;1. Faculty of Mathematics, Al. I. Cuza University of Iaşi, 700506 Iaşi, Romania;2. Octav Mayer Mathematics Institute, Romanian Academy, 700505 Iaşi, Romania;3. Università della Calabria, Via Pietro Bucci, 87036 Arcavacata di Rende (CS), Italy;1. Department of Mathematics, Modelling and Scientific Computing (MOX) – Politecnico di Milano, Via Bonardi 9, I-20133 Milan, Italy;2. Fondazione CEN, Piazza Leonardo da Vinci, 32, I-20133 Milan, Italy;3. Department of Mathematical Sciences (DISMA) “G.L. Lagrange” – Politecnico di Torino, Corso Duca degli Abruzzi 24, I-10129 Torino, Italy;1. Lightweight Materials Laboratory, Department of Mechanical Engineering, National Institute of Technology Karnataka, Surathkal, India;2. Department of Industrial and Production Engineering, BVB College of Engineering and Technology, Hubli, Karnataka, India |
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| Abstract: | In this paper we study the thermodynamic efficiency of thermoelectric generators in which the heat transport is driven by phonons and electrons. It is assumed that the phonon temperature and the electron temperature are different, and that the electric-charge density is nonuniform. The mean temperature is defined by observing that the internal energy of the system is the same either in the presence of two temperatures, or of one temperature. In steady states, we determine the influence of the gradients of the mean temperature and of the electric-charge density on the theoretical values of the thermoelectric efficiency. The physical conditions under which such efficiency is optimal are determined as well. |
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| Keywords: | Thermoelectric effects Thermoelectric efficiency Two-temperature model |
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