Entropy production and the temperature equation in electrohydrodynamics

被引：8

作者：

Castellanos, A ^{[1
]}

机构：

[1] Univ Sevilla, Dpto Elect & Electromagnetismo, Fac Fis, E-41012 Seville, Spain

来源：

IEEE TRANSACTIONS ON DIELECTRICS AND ELECTRICAL INSULATION | 2003年 / 10卷 / 01期

关键词：

electrohydrodynamics; thermodynamics of fluids; temperature; entropy;

D O I：

10.1109/TDEI.2003.1176553

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

The equation for the temperature in moving dielectric fluids is obtained in most texts and papers dealing with electrothermohydrodynamics by simply adding the Joule heating, and more exceptionally by adding also the dielectric heating. Here we derive this equation rigorously from first principles. First, we derive the entropy production, and then we show that additional terms depending on the electric field are present in the equation for the temperature. Among them we have terms of thermoelectric origin, and terms depending on the variation of permittivity with temperature, in addition to Joule and dielectric heating. The different terms in this equation are discussed in detail, and are given a clear physical interpretation.

引用

页码：22 / 26

页数：5