Dimensional analysis of steady state flux for microfiltration and ultrafiltration membranes

Elmaleh, S.; Vera, Luisa; Villarroel-López, R.; Abdelmoumni, L.; Ghaffor, N.; Delgado, S.

doi:10.1016/s0376-7388(97)00242-1

Cited by 18 publications

(17 citation statements)

References 8 publications

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“…On the other hand, dimensional analysis of the mass, length and time dimensions showed that two dimensionless numbers: the shear stress number, N s , and the resistance number, N f , can be obtained [13,25]. The fouling resistance that corresponds to steady state conditions can be correlated also as a function of N s and N f .…”

Section: Resultsmentioning

confidence: 99%

“…N s is also related to the pressure drop P through the tubular membrane. In this way, the number of units of energy, NUE, is defined by [13]:…”

Section: Resultsmentioning

confidence: 99%

“…The shear stress number can then be written under the following form [13]: According to this equation N s compares then the overall dissipated mechanical energy to the energy used to drive the solvent through the membrane.…”

Section: Resultsmentioning

confidence: 99%

“…Steady-state in crossflow membrane filtration is reached when the solute flux driven towards the membrane by convection is compensated by the back transport of the solute away from the membrane. Several mechanisms have been investigated in the literature to understand this fact [4,12,13]. These works perform a dimensional analysis for steady state conditions and introduce the shear stress number and a resistance.…”

Section: Introductionmentioning

confidence: 99%

“…Theoretical models that describe ultrafiltration processes require the estimation of many parameters that are difficult to evaluate. An interesting approach based on dimensional analysis was proposed by Vera et al [4], Elmaleh et al [13] and Fontes [22]. These authors reported models for permeate flux with non-Newtonian macromolecular solutions as a function of time, TMP, shear rate, shear stress, CFV, etc.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Analysis of ultrafiltration processes with dilatant macromolecular solutions by means of dimensionless numbers and hydrodynamic parameters

Vincent‐Vela

Cuartas-Uribe

Álvarez-Blanco

et al. 2010

Separation and Purification Technology

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Section: Resultsmentioning

confidence: 99%

“…N s is also related to the pressure drop P through the tubular membrane. In this way, the number of units of energy, NUE, is defined by [13]:…”

Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Analysis of ultrafiltration processes with dilatant macromolecular solutions by means of dimensionless numbers and hydrodynamic parameters

Vincent‐Vela

Cuartas-Uribe

Álvarez-Blanco

et al. 2010

Separation and Purification Technology

View full text Add to dashboard Cite

Critical assessment of the nanofiltration for reusing brackish effluent from an anaerobic membrane bioreactor

Cabrera

Ruigómez

Gómez

et al. 2017

Env Prog and Sustain Energy

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In this study, a saline effluent from an anaerobic membrane bioreactor was treated by nanofiltration in order to allow its agricultural reuse. Short-term tests were conducted to investigate membrane fouling and selective rejection of ions and emerging organic contaminants (EOCs). The study has been conducted with a negatively charged commercial thin-film composite membrane (DK, GE Osmonics). The effect of operating pressure (5-20 bar) and cross-flow velocity (0.12-0.37 m/s) on membrane performance have been researched. Dimensional analysis of steady permeate flux indicated that the gel layer or the polarization layer can be completely removed at critical cross-flow velocity. At a subcritical velocity, membrane autopsies by scanning electron microscopy (SEM) and energy dispersive X-Ray spectroscopy revealed a complex mixture of organic matter, phosphates and colloidal silica over the membranes surface. Since the rejection of monovalent cations (76-88%) was lower than that of multivalent cations (above 96%), the treated effluent was characterized by a very high levels of sodium adsorption ratio and ammonium. In addition, moderate rejection of low molecular weight EOCs (clofibric acid and caffeine) was observed. Therefore, the treated effluent did not achieve enough quality to be reused for agricultural irrigation. V C 2017 American Institute of Chemical Engineers Environ Prog, 37: 383-390, 2018 During the last decade, interest in the application of nanofiltration in wastewater treatment has grown in response to stringent water quality standards and increasing concern about the presence of emerging organic contaminants (EOCs). Nevertheless, information remains scarce about membrane fouling and EOCs rejection. The current research addresses these issues during its application to a brackish effluent from an anaerobic membrane bioreactor to be reused for agricultural irrigation. Dimensional analysis has allowed establishing the optimum operation conditions in terms fouling control. As regard of EOCs rejection, low molecular weight compounds were not completely retained by the membrane.

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Dimensional analysis of permeation flux for microfiltration of oily wastewaters using mullite ceramic membranes

et al. 2010

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Dimensional analysis of steady state flux for microfiltration and ultrafiltration membranes

Cited by 18 publications

References 8 publications

Analysis of ultrafiltration processes with dilatant macromolecular solutions by means of dimensionless numbers and hydrodynamic parameters

Analysis of ultrafiltration processes with dilatant macromolecular solutions by means of dimensionless numbers and hydrodynamic parameters

Critical assessment of the nanofiltration for reusing brackish effluent from an anaerobic membrane bioreactor

Dimensional analysis of permeation flux for microfiltration of oily wastewaters using mullite ceramic membranes

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