Modeling of crossflow membrane separation processes under laminar flow conditions in tubular membrane

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

doi:10.1016/j.desal.2004.07.003

Cited by 18 publications

(24 citation statements)

References 17 publications

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“…However according to Pak et al [8] and Vieira et al [12], turbulent condition can improve the separation performance of the membrane. This behavior is consistent with that reported by Damak et al [5,6].…”

Section: Resultssupporting

confidence: 83%

“…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%

See 2 more Smart Citations

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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Section: Resultssupporting

confidence: 83%

Section: Advances In Mechanical Engineeringmentioning

confidence: 99%

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Separation Process by Porous Membranes: A Numerical Investigation

Cunha

Souza

Neto

et al. 2014

Advances in Mechanical Engineering

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“…where T is the temperature in Kelvin, and the terms A, B, C, and D are the regression coefficients, as shown in Table 4. The model validation was realized in a previous work [9], by comparing the numerical results obtained in the simulations with the data available in some works reported in the literature [23][24][25][26]31].…”

Section: (B) Specific Heat (C P )mentioning

confidence: 99%

Non-Isothermal Treatment of Oily Waters Using Ceramic Membrane: A Numerical Investigation

et al. 2020

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Currently, the oil industry deals with the challenge of produced-water proper disposal, and the membrane-separation technology appears as an important tool on the treatment of these waters. In this sense, this work developed a mathematical model for simulating the oil/water separation by a ceramic membrane. The aim was to investigate the thermal aspects of the separation process via computational fluid dynamic, using the Ansys CFX® 15 software (15, Ansys, Inc., Canonsburg, PA, USA). Oil concentration, pressure, and velocity distributions, as well as permeation velocity, are presented and analyzed. It was verified that the mathematical model was capable of accurately representing the studied phenomena and that temperature strongly influences the flow behavior.

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“…Many research studies have been carried out in order to determine the pressure drop for flow through porous media [2][3][4][5][6][7][8][9][10]. In the case of ultrafiltration, the separation mechanism involves a type of molecular sieving where only the compounds having a size less than that of the pores, can cross the membrane.…”

Section: Introductionmentioning

confidence: 99%

Modeling of the Ultrafiltration of a Dextran T500 Solution in a Tubular Membrane Module

et al. 2008

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Mathematical modeling of an ultrafiltration membrane separation process, based mainly on the transmembrane pressure (TMP), is undertaken in the present work. The main objective is the prediction of the permeate flux of a solution containing Dextran T500 through a cylindrical module. The proposed model incorporates the resistance-in-series model coupled with the equation describing the solute (Dextran T500) transport, as well as the continuity and Navier-Stokes equations for solution flow modeling. The model equations are solved using finite-volume numerical methods, with appropriate initial and boundary conditions. The effects of the TMP and the length of the membrane on the mean permeate flux were also investigated. The influence of the membrane dimensions (aspect ratio) on the relative dimensionless mean permeate flux, at different inlet TMPs and different solution concentrations, respectively, have also been considered. The variations of the TMP with the membrane length as well as the influence of the Peclet number on the solute surface concentration were also examined. The numerical results obtained are compared with experimental values reported in the literature, and in general, the agreement is satisfactory enough to encourage further refinement of the model.

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Modeling of crossflow membrane separation processes under laminar flow conditions in tubular membrane

Cited by 18 publications

References 17 publications

Separation Process by Porous Membranes: A Numerical Investigation

Separation Process by Porous Membranes: A Numerical Investigation

Non-Isothermal Treatment of Oily Waters Using Ceramic Membrane: A Numerical Investigation

Modeling of the Ultrafiltration of a Dextran T500 Solution in a Tubular Membrane Module

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