改变热电冷却器电流产生的非线性汤姆逊效应的研究

IF 4.3 3区工程技术 Q1 MECHANICS

Journal of Non-Equilibrium Thermodynamics Pub Date : 2022-09-16 DOI:10.1515/jnet-2022-0037

L.G. Lafaurie-Ponce, F. Chejne, Luis M. Ramirez-Aristeguieta, Carlos Gomez

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引用次数: 6

摘要

摘要这项工作描述了由瞬态电流源为热电冷却器供电所产生的非线性汤姆逊效应。在方程中，半导体中电容阻抗的电效应被认为是一个新颖的术语，通过求解玻尔兹曼方程来找到电流密度的数学形式，它自然出现。因此，考虑到新项和heath能量平衡，建立了由时间相关电流供电的热电冷却器（TEC）的一维数学模型，在heath传递方程中发现了一种新的非线性汤姆逊效应。为了评估非线性效应对热电冷却器热力学行为的影响，模拟了连续、正弦和方形脉冲电流条件。计算了温度分布、时间演变和有效性能系数（COP）。结果显示，除了由电流的瞬时变化引起的整个半导体的虚拟结产生的汤姆逊流之外，还有一种新的热电传热。三个结果证明了这一事实：峰值电流变化引起的温度平均值的变化0.45 对于正弦电流源和方形电流源，A分别为1.68 K1.68 \space｛0.1667em｝\mathrm｛K｝和2.56 K2.56 \space｛；确定由方脉冲电流信号供电的TEC具有比由恒定正弦电流信号供电更显著的冷侧过冷温度峰值的更大的有效功效。

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A Study of the Nonlinear Thomson Effect Produced by Changing the Current in a Thermoelectric Cooler

Abstract This work describes the nonlinear Thomson effect produced by a transient current source powering a thermoelectric cooler. The electric effect of the capacitive impedance in the semiconductors was considered in the equations as a novelty term that naturally appears by solving the Boltzmann equation to find the mathematical form of the current density. Thus, considering the new term and heath energy balances, a one-dimensional mathematical model for a thermoelectric cooler (TEC) powered by a time-dependent current was developed, finding a new nonlinear Thomson effect in the heath transfer equations. To evaluate the impact of the nonlinear effect on the thermodynamic behavior of the thermoelectric cooler, a continuous, sinusoidal and square-pulse current conditions were simulated. The temperature profile, temporal evolution, and the effective coefficient of performance (COP) were calculated. The results revealed a new thermoelectric heat transfer in addition to the Thomson flow created by virtual junctions throughout the semiconductors caused by the instantaneous change of current. This fact was evidenced by three results: the shifting of the temperature mean value due to the peak current change 0.45 A is 1.68 K1.68\hspace{0.1667em}\mathrm{K} and 2.56 K2.56\hspace{0.1667em}\mathrm{K} to sinusoidal and square current supplies, respectively; it was determined that a TEC powered by a square-pulse current signal had greater effective efficacy, having more pronounced cold side supercooling temperature peaks compared to those powered by a constant sinusoidal current signal.

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来源期刊

Journal of Non-Equilibrium Thermodynamics 物理-力学

CiteScore

9.10

自引率

18.20%

发文量

审稿时长

1 months

期刊介绍： The Journal of Non-Equilibrium Thermodynamics serves as an international publication organ for new ideas, insights and results on non-equilibrium phenomena in science, engineering and related natural systems. The central aim of the journal is to provide a bridge between science and engineering and to promote scientific exchange on a) newly observed non-equilibrium phenomena, b) analytic or numeric modeling for their interpretation, c) vanguard methods to describe non-equilibrium phenomena. Contributions should – among others – present novel approaches to analyzing, modeling and optimizing processes of engineering relevance such as transport processes of mass, momentum and energy, separation of fluid phases, reproduction of living cells, or energy conversion. The journal is particularly interested in contributions which add to the basic understanding of non-equilibrium phenomena in science and engineering, with systems of interest ranging from the macro- to the nano-level. The Journal of Non-Equilibrium Thermodynamics　has recently expanded its scope to place new emphasis on theoretical and experimental investigations of non-equilibrium phenomena in thermophysical, chemical, biochemical and abstract model systems of engineering relevance. We are therefore pleased to invite submissions which present newly observed non-equilibrium phenomena, analytic or fuzzy models for their interpretation, or new methods for their description.