Concentration polarisation in tubular membranes —a numerical approach

Damak, Kamel; Ayadi, Abdelmoneim; Zeghmati, Belkacem; Schmitz, Philippe

doi:10.1016/j.desal.2004.05.002

Cited by 30 publications

(52 citation statements)

References 23 publications

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“…The output conditions of the filtrate (permeate) are given by equation (16). It was considered here, according to Damak et al 7 These authors reported that in the steady-state regime, there is no accumulation of particles on the liquid-porous media interface, that is, solute particles are practically 100% rejected by the membrane, then…”

Section: Boundary Conditionsmentioning

confidence: 99%

“…To determine the variation in the thickness of concentration, polarization boundary layer (d p ) used one mathematical equation defined by Damak et al, 7 as follows …”

Section: Boundary Conditionsmentioning

confidence: 99%

“…6 Membrane cross-flow filtration processes have been widely used by industrial sector for years in a broad range of applications, due to cost and mode of operation (no phase change, isothermal process and can be applied to separate solute particles of different sizes). 7 Liu et al 8 mention that the performance of most membrane systems which use pressure as the driving force is severely hampered by concentration polarization and membrane fouling, which restricts productivity by reducing the permeate stream. To mitigate these adverse effects, turbulence promoters are widely used to improve the hydrodynamic conditions over the membrane surface and improve the membrane modules performance.…”

Section: Introductionmentioning

confidence: 99%

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Produced water treatment by ceramic membrane: A numerical investigation by computational fluid dynamics

Magalhães

Lima

Neto

et al. 2017

Advances in Mechanical Engineering

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The disposal of industrial effluents into the environment is an issue that has attracted attention of researchers and engineers with particular reference for produced water originating from the petroleum industry. Separation process using ceramic membranes has been an alternative used to obey requirements of environmental agencies in Brazil related to disposal of oil and grease. Accordingly, we have studied numerically the fluid flow into a separation module with tubular membrane. The conservation equations for mass, linear momentum, and mass transport in conjunction with the renormalization group k-e turbulence model were resolved with aid of the ANSYS CFX 12 commercial package. Results of the streamlines, vector velocity, pressure, velocity, and concentration fields are presented and analyzed. It was concluded that the proposed mathematical model predicts the behavior of the flow within the separation module and that increasing the level of turbulence and putting an impermeable section into the inlet region of the membrane reduce the effect of the polarization layer.

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Section: Boundary Conditionsmentioning

confidence: 99%

“…To determine the variation in the thickness of concentration, polarization boundary layer (d p ) used one mathematical equation defined by Damak et al, 7 as follows …”

Section: Boundary Conditionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Produced water treatment by ceramic membrane: A numerical investigation by computational fluid dynamics

Magalhães

Lima

Neto

et al. 2017

Advances in Mechanical Engineering

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“…According to Damak et al [5][6][7] and Pak et al [8], as the fluid is forced to pass under the membrane in crossflow, the solvent is forced to flow through the membrane due to the action of a pressure difference across the permeable membrane. The decrease in permeate flow rate is closely related to the decrease in driving force and increased resistance to permeation.…”

Section: Advances In Mechanical Engineeringmentioning

confidence: 99%

“…The local permeation velocity is given by Darcy's law, written as the resistance-in-series model [4][5][6][7][8]…”

Section: Advances In Mechanical Engineeringmentioning

confidence: 99%

Separation Process by Porous Membranes: A Numerical Investigation

Cunha

Souza

Neto

et al. 2014

Advances in Mechanical Engineering

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A major problem associated with the membrane separation processes is the permeate flux drop, limiting the widespread of industrial application of this process. This occurs due to the accumulation of solute concentration near the membrane surface. An exact quantification of the concentration polarization as a function of process conditions is essential to estimate the system performance satisfactorily. In this sense, this work aims to predict the behavior of the concentration polarization boundary layer along the length of a permeable tubular membrane, over various operation conditions. The numerical solution of the Navier-Stokes equation, coupled to Darcy's and mass transfer equations, is obtained by the commercial software ANSYS CFX 12, considering a twodimensional computational domain. The study evaluates the effects of axial Reynolds and Schmidt numbers on the concentration polarization boundary layer thickness during the cross-flow filtration process. Numerical results have shown that the mathematical model is able to predict the formation and growth of the concentration polarization boundary layer along the length of the tubular membrane.

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