Research Article

A Finite-Difference Solution of Solute Transport through a Membrane Bioreactor

Table 2

Parameter values used to determine the concentration profile [6].

Model parameterSymbolUnitBasic measured value

Membrane hydraulic permeabilitym/Pas3.82 10−11
Membrane inner radiusm1.30 10−4
Effective membrane lengthm5.7 10−2
Lumen-side entrance axial velocitym s−11.67 10−3
Permeation velocitym s−11.91 10−7
Lumen-side inlet hydrostatic pressurePa106 325
Shell-side hydrostatic pressurePa101 325
Glucose diffusivitym2 s1.0 10−10
Solution densitykg m−3998.0
Solution viscosityPas9.7 10−4
Glucose inlet concentrationg dm−32.00
Kinetic constantss−10.10