The coupled POD-MCMC estimation of parameters of the non-equilibrium model of the fixed-bed reactor based on the real data

This paper presents non-equilibrium mathematical model of heat and mass transfer in a small fixed bed reactor. In presented model, material comprising the fixed bed is treated as a porous material consisting of a solid matrix and interconnected voids filled with a fluid. Mathematical modelling of fluid flow through such a system is a very challenging task, as it can be considered as a two phase flow where fluid (gas or liquid) interacts mechanically and thermally with the solid matrix of porous media which may deform due to these interactions. However, this kind of approach contains number of parameters which for biomass considered as a very random material are unknown. Therefore, these parameters need to be estimated by use of inverse analysis. For these purpose the coupled POD-MCMC procedure was developed and applied to the real data gathered on the experimental stand dedicated to investigate flow through porous material.