Abstract
The paper presents and discusses the set of field-equations for an interface between two immiscible, uncharged, unpolarized, non-elastic and non micro-polar fluids modelled as a geometrical surface S in arbitrary motion and with thermodynamic and dynamic properties. The crucial assumptions are those implied by a local formulation of the equilibrium thermodynamics of S. The set of equations derived comprises: integral and local forms of the surface balance-equation for a scalar or vectorial extensive property; continuity, normal and tangential momentum and energy equations; surface entropy production; linear phenomenological relations for irreversible surface diffusions and non-equilibrium exchanges of extensive properties between surface and volume phases. Momentum and energy conservation equations are formulated also in terms of a suitably defined surface total enthalpy. Available previous formulations are either not as complete or hold only in more particular cases. Whenever applicable, their results are compared with the present ones and commented upon.
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