Extending potential flow modelling of flat-sheet geometries as applied in membrane-based systems |
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Authors: | MH Dirkse WKP van Loon JD Stigter JW Post J Veerman GPA Bot |
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Institution: | 1. Wageningen University, Department of Agrotechnology and Food, Bornsesteeg 59, 6708 PD Wageningen, The Netherlands;2. Wageningen University, Sub-Department of Environmental Technology, P.O. Box 8129, 6700 EV Wageningen, The Netherlands;3. Plant Research International, Bornsesteeg 65, 6708 PD Wageningen, The Netherlands;4. TTIW Wetsus, Postbus 1113, 8900 CC Leeuwarden, The Netherlands |
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Abstract: | The efficiency of chemical reactors can be analysed using the residence time distribution. This research focusses on flat-sheet geometries applied in membrane-based systems. The residence time distribution depends mainly on the 2D velocity field, parallel to the membrane. The velocity average over the transversal direction is calculated using potential flow theory. A combination of real and virtual sources and sinks are used to model the internal inlets and outlets. Furthermore, a novel method is presented to calculate the residence time distribution. By ignoring diffusion and dispersion, every streamline is modelled to have a fixed residence time, which can be calculated with a simple quadrature based on a coordinate transformation. The model predicts the impact of the two-dimensional geometry on the residence time distribution, but it is demonstrated that large zones of nearly stagnant flow have only a limited impact on the residence time distribution. The new model can predict the travelling time from the inlet to each interior location, providing a better tool to analyse spatially distributed chemical reactions. The models agreed highly with pressure measurements (R2 = 0.94–0.98) and they agreed well with tracer experiments for the residence time (R2 = 0.73–0.99). |
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Keywords: | Residence time distribution Spatial distribution Potential flow theory Tracer experiment |
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