A Graphical Representation of Membrane Filtration

@article{Gu2022AGR,
  title={A Graphical Representation of Membrane Filtration},
  author={B. Gu and Lou Kondic and Linda J. Cummings},
  journal={SIAM J. Appl. Math.},
  year={2022},
  volume={82},
  pages={950-975}
}
We analyze the performance of membrane filters represented by pore networks using two criteria: 1) total volumetric throughput of filtrate over the filter lifetime and 2) accumulated foulant concentration in the filtrate. We first formulate the governing equations of fluid flow on a general network, and we model transport and adsorption of particles (foulants) within the network by imposing an advection equation with a sink term on each pore (edge) as well as conservation of fluid and foulant… 
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