A mathematical model for wetting and drying in filter membranes
ORAL
Abstract
A filter membrane may be frequently used during its lifetime, with wetting and drying processes occurring in the porous medium for several cycles. During these cycles, the concentration distribution of molecules or contaminants and the medium morphology evolve. As a consequence, the filter performance ultimately deteriorates after several cycles. In this work, we formulate a coupled mathematical model for the wetting and drying dynamics in a porous medium occurring consecutively. Our model accounts for the porous medium internal morphology (internal structure, porosity, etc.), the contaminant deposition, and the evolution of dry/wet interfaces due to evaporation. The model provides insights to the overall porous medium evolution over cycles of wetting and drying processes and predicts the timeline to discard the filter based on its optimum performance.
*P.S. gratefully acknowledges support from the National Science Foundation (NSF) under Grant No. DMS-2108161 as well as an Institutional Support of Research and Creativity (ISRC) grant provided by New York Institute of Technology. H.J. acknowledges support from Faculty Research and Professional Development Program (FRPD) from NC State University. The work carried out in this paper arose from a problem presented at the 2021 Mathematical Problems in Industry workshop, held at University of Vermont and University of Delaware supported by NSF under Grant No. DMS 1916281, 2016095 and 2016099.
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Publication:Paper in preparation: H. Ji, S. Moshafi, and P. Sanaei, A mathematical model for wetting and drying in filter membranes.
