The Temperature Equation

  • Antonio Castellanos
Conference paper
Part of the International Centre for Mechanical Sciences book series (CISM, volume 380)


In this chapter we carry out the classical procedure of thermodynamics of irreversible process [1],[2], to obtain the equation of the temperature in electrohydrodynamics. First, we review the thermodynamics of dielectric fluids at thermodynamic equilibrium [3],[4]. The internal electric energy of polar fluids depends on temperature through the permittivity. Given that temperature and internal energy are intimately connected, we split the internal electrical energy for polar fluids into two terms. The term that depends on temperature is added to the term for the internal energy of the fluid in the absence of the electric field to form the total internal energy. The remainder term, which is of the form (1/2)ε np E 2, where ε np is the permittivity at frequencies above the microwave region but below the short infra red region, is ascribed to the macroscopic electrical energy. The permittivity ε np only depends on the ionic and electronic molecular polarizabilities, and therefore it is independent of temperature.


Internal Energy Entropy Production Energy Conservation Equation Dielectric Fluid Thermodynamic Force 
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Copyright information

© Springer-Verlag Wien 1998

Authors and Affiliations

  • Antonio Castellanos
    • 1
  1. 1.University of SevillaSpain

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