Multiphase Porous Electrode Theory

Thermodynamics and constitutive theory for multiphase porous-media flow considering internal geometric constraints

This paper provides the thermodynamic approach and constitutive theory for closure of the conservation equations for multiphase flow in porous media. The starting point for the analysis is the balance equations of mass, momentum, and energy for two fluid phases, a solid phase, the interfaces between the phases and the common lines where interfaces meet. These equations have been derived at the ...

Multicomponent, Multiphase Thermodynamics of Swelling Porous Media with Electroquasistatics: II. Constitutive Theory

In Part I macroscopic field equations of mass, linear and angular momentum, energy, and the quasistatic form of Maxwell’s equations for a multiphase, multicomponent medium were derived. Here we exploit the entropy inequality to obtain restrictions on constitutive relations at the macroscale for a 2-phase, multiple-constituent, polarizable mixture of fluids and solids. Specific emphasis is place...

Transient Analysis of a Porous Electrode

An analytical expression is presented for the voltage response including the transient voltage for a simple ~i.e., no concentration gradients! porous electrode model subject to a sinusoidal input current density. The transient voltage response as a function of the frequency, exchange current density, and double layer capacitance is studied independent of the periodic ~steady state! voltage resp...

Modeling Multiphase Flow with Phase Transitions in Porous Media

A new approach to model multiphase flow in porous media with phase appearance and disappearance is to use nonlinear complementarity constraints. In addition to the standard mass balance equations for mulitphase flow, a set of complementarity constraints are added in order to handle the phase transitions. This results in a larger system of nonlinear equations, which is non-smooth in general. The...

The multiphase fl ow and heat transfer in porous media