Modelling of Catalytic Combustion in a Deformable Porous Burner Using a Fluid-Solid Interaction (FSI) Framework

The various concepts involved in the mathematical modeling of the fluid-solid interactions (FSIs) of catalytic combustion processes occurring within a porous burner are presented and discussed in this paper. The following aspects of them are addressed: (a) the relevant physical and chemical phenomena appearing at the interface between the gas and the catalytic surface; (b) a comparison of mathematical models; (c) a proposal of a hybrid two/three-field model, (d) an estimation of the interphase transfer coefficients; (e) a discussion of the proper constitutive equations and the closure relations; and (f) a generalization of the Terzaghi concept of stresses. Selected examples of application of the models are then presented and described. Finally, a numerical verification example is presented and discussed to demonstrate the application of the proposed model.

Automated summary

This paper presents and discusses the various concepts involved in the mathematical modeling of fluid-solid interactions in the catalytic combustion processes occurring within a porous burner. It addresses the relevant physical and chemical phenomena, compares mathematical models, proposes a hybrid two/three-field model, estimates the interphase transfer coefficients, discusses proper constitutive equations and closure relations, and generalizes the Terzaghi concept of stresses. Selected examples of model application are presented and described. Finally, a numerical verification example is used to demonstrate the application of the proposed model.