Charge conservation equation

To calculate the electron-transport effect through GDL and flow plate, the charge conservation equation for the electronic phase must be solved additionally, namely... 

Charge transport is modeled by Ohm s law (Equation (3.10)) and the charge conservation equation (Equation (3.68)), while the current density distribution at the electrode/electrolyte interface is modeled through the Butler-Volmer equation (Equation (3.102)). It should be noted that, contrarily to Section 3.7, Equation (3.102) is here derived from Equation (3.37) rather than Equation (3.39), because the former allows for a better agreement between experimental and simulated results. Equations (3.40)-(3.42) are used to model, the exchange current density, the activation overpotential, and the ideal potential drop at the electrode/electrolyte interface, respectively. Heat transfer is modeled through Equation (3.6), and the appropriate heat terms for each domain. 

The direct modelling consists of obtaining results of electric potential and current density any point in the electrolyte and at surfaces of electrodes. Under most common situations, this requires solving the steady state charge conservation equation in the electrolyte in 3D space given by ... 

The media with which one has to deal when investigating preparation processes of hydrocarbon systems are invariably multi-phase and multi-component mixtures. Section II thus covers the aspects of the hydromechanics of physical and chemical processes necessary for an understanding of the more specialized material contained in following sections. Among these are transfer phenomena of momentum, heat, mass, and electrical charge conservation equations for isothermal and non-isothermal processes for multi-component and multi-phase mixtures equations of state, and basic phenomenological relationships. 

The charge conservation equation can be written in the following form ... 

In terms of the charge transfer, the charge conservation equation (4) (assuming electroneutrality, i.e., no double-layer effects) would be... 

Equation 5.80 describes charge conservation in the CCL. It shows that the proton current decays toward the GDL because of the charging of the double layer (the term with Cdl) and due to the proton conversion in the ORR (the right side of this equation). Equation 5.80 follows from a general charge conservation equation... 

Inserting j and p from the above definitions into the charge conservation equation,... 

General theory devoted to calculation of pH and distribution of species in particular buffer mixtures can be foimd in [20, 67-70]. Chemical formirlation includes a number of the mass-action equations linked with the mass and charge conservation equations. Limiting or extended forms of the Debye-Hiickel expressions for activity... 

The charged jet can be considered as a one-dimensional flow like mentioned. Then the mass and charge conservation equation consider like above. If the equations modified, they ean be changed [67]... 

The fluid flow, heat, and mass transfer in fnel ceU are commonly expressed by Navier-Stokes equation, energy equation, mass conservation equation, the associated chemical reaction equations, the charge conservation equation for the current density distribution, and their derivatives [132]. The theoretical maximum electrochemical work that a fuel cell can do may be determined by the Nemst equation as follows ... 

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