Expression of heat flux

We shall now determine the expression of the discontinuity of the heat flux in the Peltier effect depending on the strength of the cvurent passing through the jimction and the discontinuity of the heat gradient. In order to do so, let us express the heat flux as a fvmction of the entropy flux T is d Dk + p sT. We can evaluate the right-hand 

Relation [A1.14] enables us to evaluate as a function of the current I and of the temperature gradient, which gives 

In the steady-state regime, the conservation of mass on passing through the joint imposes the condition  

The discontinuity of the heat flux is therefore proportional to the intensity of the electrical current passing through the junction. 

Introduction of an average electrical field for a flat interface 

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