Comparison of CFD and one-dimensional Bernoulli solutions of the flow in a plate and frame ultrafiltration module in Z configuration

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DOIResolve DOI: http://doi.org/10.1016/j.memsci.2005.05.31
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TypeArticle
Journal titleJournal of Membrane Science
Volume268
Pages7485; # of pages: 12
SubjectComputational fluid dynamics; Modeling; Flow distribution; Pressure distribution; Ultrafiltration
AbstractPredictions of flow and pressure distributions in one bank of a plate and frame ultrafiltration module with five channels in parallel operating in a Z configuration were predicted using (1) Bernoulli's equation and a momentum balance in one dimension and (2) a three-dimensional field solution (Computational Fluid Dynamics) of the Navier-Stokes equation. CFD solutions were taken as the benchmark and used to refine the 1D model being developed to evaluate flow and pressure distribution for different operating conditions and ultimately different module configurations. The 1D model was able to provide quantitatively accurate flow distribution and qualitatively representative pressure distributions. Flow distributions increased monotomincally with increasing channel number, maximum/minimum flow ratios in channels increased from 2 to 6.9 with oil (u = 0.361 kg/m/s) as the design cross flow velocity increased from 0.5 to 5 m/s. Pressure distributions were well predicted qualitatively but were typically 40% lower than the CFD solution in the distributor. Key to the accuracy of the 1D model were the implementation of (a) variable contraction co-efficients in the distributor orifice, (b) the 1/7th power law for velocity profiles in the plenums (c) a new approach for combining flows in the collector and (d) assuming only one half of the orifice area was being effectively used by the fluid.
Publication date
LanguageEnglish
AffiliationNRC Institute for Chemical Process and Environmental Technology; National Research Council Canada (NRC-CNRC)
Peer reviewedNo
NRC number47850
NPARC number8925871
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Record identifiereae8141f-3f63-42c1-820b-0ec13c8f2098
Record created2009-04-23
Record modified2016-05-09
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