Abstract
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 flow-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 flow gets choked for a given pressure gradient applied across the channel. Numerical tests of the full 2D model are consulted to confirm the theory.
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Kumar, K., van Noorden, T.L., Wheeler, M.F., Wick, T. (2015). An ALE-Based Method for Reaction-Induced Boundary Movement Towards Clogging. In: Abdulle, A., Deparis, S., Kressner, D., Nobile, F., Picasso, M. (eds) Numerical Mathematics and Advanced Applications - ENUMATH 2013. Lecture Notes in Computational Science and Engineering, vol 103. Springer, Cham. https://doi.org/10.1007/978-3-319-10705-9_62
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DOI: https://doi.org/10.1007/978-3-319-10705-9_62
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