A novel relation for heat flow using Maxwell thermoelectricity analogy

摘要

In this paper, the reliability of thermoelectric analogy under transient conditions is discussed. By comparing the similarity between the expression of the transient electricity and the expression of the non-Fourier heat transfer heat flow, it is believed that the thermoelectric analogy is still valid. And according to Maxwell's equations, an unknown field, which is similarly to the magnetic field, will generated in the vertical direction of the heat flux, and a thermal Maxwell's equation is present. In addition, according to the thermoelectric analogy, the heat flux equation satisfying the Lorentz transformation has been directly given, which is a more complicated differential-integral equation and can be used to describe some non-Fourier phenomena.