An ALE-Based Method for Reaction-Induced Boundary Movement Towards Clogging

In this study, reaction-induced boundary movements in a thin channel are investigated. Here, precipitation-dissolution reactions taking place at the boundaries of the channel resulting in boundary movements act as a precursor to the clogging process. The resulting problem is a coupled ow-reactive transport process in a time-dependent geometry. We propose an ALE-based method (ALE arbitrary Lagrangian-Eulerian) to perform full 2D computations. We derive a 1D model that approximates the 2D solution by integrating over the thickness of the channel. The boundary movements lead in the limit to clogging when the ow gets choked for a given pressure gradient applied across the channel. Numerical tests of the full 2D model are consulted to con rm the theory.