2017/12/15 by Adrian Muntean, Muntean, Adrian, Christos Nikolopoulos +1
Computer Science · Materials Science · Engineering · #Advanced Mathematical Modeling in Engineering #Material Dynamics and Properties #Composite Material Mechanics
paper · pdf · doi:10.48550/arxiv.1712.05598
We derive an upscaled model describing the aggregation and deposition of\ncolloidal particles within a porous medium allowing for the possibility of\nlocal clogging of the pores. At the level of the pore scale, we extend an\nexisting model for colloidal dynamics including the evolution of free\ninterfaces separating colloidal particles deposited on solid boundaries (solid\nspheres) from the colloidal particles transported through the gaseous parts of\nthe porous medium. As a result of deposition, the solid spheres grow reducing\ntherefore the space available for transport in the gaseous phase.\n Upscaling procedures are applied and several classes of macroscopic models\ntogether with effective transport tensors are obtained, incorporating\nexplicitly the local growth of the solid spheres. The resulting models are\nsolved numerically and various simulations are presented. In particular, they\nare able to detect clogging regions, and therefore, can provide estimates on\nthe storage capacity of the porous matrix.\n