In the dual membrane fuel cell (DM-Cell), protons formed at the anode and oxygen ions formed at the cathode migrate through their respective dense electrolytes to react and form water in a porous composite layer called dual membrane (DM). The DM-Cell concept was experimentally proven (as detailed in Part I of this paper). To describe the electrochemical processes occurring in this novel fuel cell, a mathematical model has been developed which focuses on the DM as the characteristic feature of the DM-Cell. In the model, the porous composite DM is treated as a continuum medium characterized by effective macro-homogeneous properties. To simulate the polarization behavior of the DM-Cell, the potential distribution in the DM is related to the flux of protons and oxygen ions in the conducting phases by introducing kinetic and transport equations into charge balances. Since water pressure may affect the overall formation rate, water mass balances across the DM and transport equations are also considered. The satisfactory comparison with available experimental results suggests that the model provides sound indications on the effects of key design parameters and operating conditions on cell behavior and performance.The dual membrane fuel cell (DM-Cell) is a new concept of a solid oxide fuel cell (SOFC), where the anode and the electrolyte of a protonic SOFC are connected to the cathode and the electrolyte of an anionic SOFC through a composite mixed proton-and anionconducting porous layer, called dual membrane (DM). 1 The DM-Cell, schematically represented in Figure 1, consists of five layers of porous (anode, cathode and DM) and dense (electrolytes) materials in contact. Protons formed by electrochemical oxidation of molecular hydrogen at the anode migrate through the protonic electrolyte toward the DM, where they react to produce water with oxygen anions migrating from the cathode through the anionic electrolyte.The DM-Cell presents some advantages 1-3 compared to conventional SOFC concepts, most notably referred to the fact that water is produced neither at the anode, as in anionic SOFCs, nor at the cathode, as in protonic SOFCs, rather in a third independent compartment, the DM. In the DM-Cell, water cannot come into contact with the electrodes because of the presence of the two dense electrolyte layers positioned between the DM and respectively the anode and the cathode.The scale up of the DM-Cell will necessarily depend upon the proper design of a three-chamber system (with all related issues of sealing and connections, but with some promising aspects, e.g. easy pressurization of the electrode compartments), which may prove more problematic than that of a two chamber system (as in SOFCs). In addition, the outflow of water from the DM-Cell can be critical compared to more conventional designs (protonic and anionic SOFCs), because water vapor flows in the narrow DM layer confined by two electrolytes (see Figure 1). As a consequence, any mathematical model describing the DM behavior should take into account, besides el...