Interfacial balance

One can use the dynamic boundary conditions of Eqs. (12)-(13) without considering the influence of the osmotic pressure and the Gibbs adsorption (the case of significant contribution of these values to the interfacial balance of forces is analyzed in Refs. [4,19]) ... 

In what follows, we shall fist define interfacial movement and field deformation, then we shall establish the general form of the interfacial balance by a suitable integration of the volume balance across the interface, considered, at first, as a continuous three dimensional medium. 

GENERAL FORM OF THE INTERFACIAL BALANCE OF A FLUID MEDIUM... 

We thus obtain the following general equation of interfacial balance ... 

The interface gradient operator, which we have previously used in three-dimensional space, is generahzed to apply to the Minkowski timespace. The general form of the interfacial balance is then established, using the s xrface operator 4Vs. 

Table 4.1. Interfacial balance equations in a polarized reactive fluid medium. Interfacial quantities IT magnetic displacement vector D electric displacement vector Ba magnetic field Ea." electric field Pa = Da — Ea dectfical polarization (per unit mass) M = B - H ...

Introduction of the Peltier effect by the general interfacial balance equations... 

In this interfacial balance, we have neglected the source of momentum created by the forces exerted on charges and a surface current (the surface fields are null when there is no polarization). We have not taken account of the momentum associated with the displacement of the surface charges. 

The balance equations for homogeneous conductive media were summarized in Tables 2.1 and 3.1. Those for homogeneous plasmas at two kinetic temperatures are given in section Al.5.4. The interfacial balance equations in a conductive medium are shown in Table 4.1, and the metal/plasma interactions in the presence of an electrical field were discussed in Chapter 7. 

A detailed study of the Peltier effect is presented in Chapters. In section 6.1, we find a classical presentation, whilst section 6.2 shows a direct application of the interfacial balance equations established in sections 4.1 and 4.2. 

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