Mathematical modelling of the agglomeration in a reactive porous medium with variable permeability

Abstract

Abstract When processing low-grade fuels, such as waste and biomass, the problems associated with bed agglomeration often arise. In this work, one of the variants of the agglomeration model is proposed, in which local permeability decreases as a result of the physicochemical process caused by heating, and the agglomeration centers (particles of the melting material) are randomly distributed in a two-dimensional porous medium. A relatively simple model allows the study of the development of thermohydrodynamic inhomogeneities in the fixed granular bed and evaluation of its hydraulic resistance at different fractions of melting material.