Thermodynamic identities and thermodynamic consistency of Equation of States

Saad Benjelloun (1, 2)

1 UM6P - Université Mohammed VI Polytechnique [Ben Guerir]
2 ENS Paris Saclay - Ecole Normale Supérieure Paris-Saclay

We present a systematic approach to construct complete equations of state (EOSs), or to ensure thermodynamic consistency of complete and incomplete forms of EOSs using a minimal and sufficient set of relations. We apply the proposed approach to some common classical equations of state for pure materials. In fact, classical equations of state come generally in an incomplete form that hides essencial properties necessary for thermodynamic consistency. If not aware of such constraints one may generalize the EOS, or fit its thermodynamic parameters from emprirical data in an inconsistent way.

Domaines: Mécanique des fluides [physics.class-ph]; Enseignement de la physique [physics.ed-ph]

Saad Benjelloun. Thermodynamic identities and thermodynamic consistency of Equation of States. 2021. ⟨hal-03216379v2⟩