System Dynamics Modeling of Porous Media

Abstract

A wide range of engineering problems involve porous media modeling. General porous media models are highly nonlinear, geometrically complex, and must account for energy transfer between fluid and solid constituents normally modeled in distinct Lagrangian and Eulerian reference frames. Combining finite element discretization techniques with bond graph methods greatly simplifies the model formulation process, as compared to alternative schemes based on weighted residual solutions of the governing partial differential equations. The result generalizes existing numerical models of porous media and current network thermodynamics/bond graph theory.

Bond graph model of a solid oxide fuel cell with a C-field for mixture of two gas species

“…Most of them are distributed parameter, cell level, multidimensional models [22][23][24][25], while some other models excessively simplify the system by representing them as equivalent electrical circuits [26]. The physical processes that contribute to the local phenomena or the occurrence of concentration over-voltage at the anode-cathode interface are mainly attributable to the diffusion of the reactants/products through the electrolyte to/from the reaction sites [18].…”

“…There are a number of dynamic models of SOFCs available in the literature [16][17][18][19][20][21]. Most of them are distributed parameter, cell level, multidimensional models [22][23][24][25], while some other models excessively simplify the system by representing them as equivalent electrical circuits [26]. The physical processes that contribute to the local phenomena or the occurrence of concentration over-voltage at *Corresponding author: Department of Mechanical Engineering, Indian Institute of Technology, Systems, Dynamics, and Control Laboratory, Kharagpur, West Bengal 721302, India.…”