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Dimensional Analysis of Crossflow Microfiltration Data
Abstract:Abstract

A new approach to correlating crossflow microfiltration (CFMF) data based on dimensional analysis is presented. The steady state flux was assumed to be a function of the trans‐membrane pressure (ΔP), the crossflow velocity (u), the particle concentration (c), filtrate viscosity (μ), and membrane resistance (R m). Correlations of the form J/u=KP/cu 2) a PuR m) b were tested on three sets of published data: one for CFMF of dried yeast suspensions in a laminar flow hollow fiber module, one for dried yeast suspensions in a turbulent flow tubular module and one for suspensions of latex particles in a laminar flow flat sheet module. The R 2 values for the fits of the correlations to the data were 0.98, 0.94, and 0.91 respectively.
Keywords:Crossflow microfiltration  dimensionless numbers  flux  correlation  steady state
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