Dynamic Properties of Ultrafiltration Systems in Light of the Surface Renewal Theory

Koltuniewicz, Andrzej Benedykt; Noworyta, A.

doi:10.1021/ie00031a016

Cited by 39 publications

(39 citation statements)

References 26 publications

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“…If S is the surface-renewal rate, the fraction of the interface that is composed of elements with residence times between t and t + dt at process time t p is f(t, t p )dt, with f being the RTD function, which is given by (Koltuniewicz and Noworyta, 1994;Hasan et al, 2013):…”

Section: Casementioning

confidence: 99%

“…A number of publications have used the surfacerenewal concept to theoretically model cross-flow microfiltration and ultrafiltration (Koltuniewicz, 1992; Brazilian Journal of Chemical Engineering Koltuniewicz and Noworyta, 1994;Koltuniewicz and Noworyta, 1995;Constenla and Lozano, 1996;Arnot et al, 2000;Chatterjee, 2010;Sarkar et al, 2011;Hasan et al, 2013). Compared to the film and boundarylayer models of membrane filtration, the surfacerenewal model has the potential to more faithfully describe the transfer of dissolved/suspended solids due to random hydrodynamic impulses generated at the membrane surface, e.g., due to membrane roughness or by the use of spacers or turbulence promoters.…”

Section: Introductionmentioning

confidence: 99%

“…(3)] and S (rate of renewal of liquid elements at the membrane surface) were estimated by fitting the model to experimental permeate flow rate data in the CFMF of fermentation broths in laboratory-and pilot-scale units. The parameter S, which is an increasing function of the velocity of the main flow as shown empirically by Koltuniewicz (1992), Koltuniewicz and Noworyta (1994) and Koltuniewicz and Noworyta (1995), can also be looked upon as a "scouring" term, which represents the removal of deposited material from the membrane wall (Arnot et al, 2000) and which depends upon the level of flow instability. In contrast to the well-known critical-flux model of CFMF (intermediate-blocking and cake-filtration cases), the surface-renewal model of Hasan et al (2013) provides explicit expressions for the permeate flux and cake mass as functions of process time, besides indicating the influence of transmembrane pressure drop, feed concentration and liquid velocity on the permeate flux.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Influence of Residence-Time Distribution on a Surface-Renewal Model of Constant-Pressure Cross-Flow Microfiltration

Zhang

Chatterjee

2015

Braz. J. Chem. Eng.

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-This work examines the influence of the residence-time distribution (RTD) of surface elements on a model of cross-flow microfiltration that has been proposed recently (Hasan et al., 2013). Along with the RTD from the previous work (Case 1), two other RTD functions (Cases 2 and 3) are used to develop theoretical expressions for the permeate-flux decline and cake buildup in the filter as a function of process time. The three different RTDs correspond to three different startup conditions of the filtration process. The analytical expressions for the permeate flux, each of which contains three basic parameters (membrane resistance, specific cake resistance and rate of surface renewal), are fitted to experimental permeate flow rate data in the microfiltration of fermentation broths in laboratory-and pilot-scale units. All three expressions for the permeate flux fit the experimental data fairly well with average root-mean-square errors of 4.6% for Cases 1 and 2, and 4.2% for Case 3, respectively, which points towards the constructive nature of the model -a common feature of theoretical models used in science and engineering.

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Section: Casementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Influence of Residence-Time Distribution on a Surface-Renewal Model of Constant-Pressure Cross-Flow Microfiltration

Zhang

Chatterjee

2015

Braz. J. Chem. Eng.

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“…The surface-renewal concept has been used to theoretically model cross-flow microfiltration and ultrafiltration by a number of workers (Koltuniewicz, 1992;Koltuniewicz and Noworyta, 1994;Koltuniewicz and Noworyta, 1995;Constenla and Lozano, 1996;Arnot et al, 2000;Chatterjee, 2010;Sarkar et al, 2011;Hasan et al, 2013, Zhang andChatterjee, 2014). In contrast to the film and boundary-layer models of cross-flow membrane filtration, the surface-renewal model has the potential to more realistically describe the transfer of dissolved/suspended solids due to Dean vortices mentioned above, and also due to random hydrodynamic impulses generated at the membraneliquid interface, e.g., due to membrane roughness or by the use of spacers or turbulence promoters.…”

Section: Introductionmentioning

confidence: 99%

“…The values of these parameters were estimated by fitting the model to experimental permeate flow rate data in the CFMF of fermentation broths in laboratory-and pilot-scale units (Hasan et al, 2013). The parameter S increases with velocity of the main flow (Koltuniewicz, 1992;Koltuniewicz and Noworyta, 1994;Koltuniewicz and Noworyta, 1995), and can be thought of as a "scouring" term that represents the removal of deposited material from the membrane wall (Arnot et al, 2000), and which depends on the level of flow instability. From dimensional considerations, Hasan et al (2013) proposed a correlation for S as a function of the diameter of the membrane channel, axial flow velocity, relative roughness of the membrane wall, and viscosity and density of the feed suspension.…”

Section: Introductionmentioning

confidence: 99%

Application of a Surface-Renewal Model to Permeate-Flux Data for Constantpressure Cross-Flow Microfiltration With Dean Vortices

Idan

Chatterjee

2015

Braz. J. Chem. Eng.

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-The introduction of flow instabilities into a microfiltration process can dramatically change several elements such as the surface-renewal rate, permeate flux, specific cake resistance, and cake buildup on the membrane in a positive way. A recently developed surface-renewal model for constant-pressure, cross-flow microfiltration (Hasan et al., 2013) is applied to the permeate-flux data reported by Mallubhotla and Belfort (1997), one set of which included flow instabilities (Dean vortices) while the other set did not. The surfacerenewal model has two forms ─ the complete model and an approximate model. For the complete model, the introduction of vortices leads to a 53% increase in the surface-renewal rate, which increases the limiting (i.e., steady-state) permeate flux by 30%, decreases the specific cake resistance by 14.5% and decreases the limiting cake mass by 15.5% compared to operation without vortices. For the approximate model, a 50% increase in the value of surface renewal rate is shown due to vortices, which increases the limiting permeate flux by 30%, decreases the specific cake resistance by 10.5% and decreases the limiting cake mass by 13.7%. The cake-filtration version of the critical-flux model of microfiltration (Field et al., 1995) is also compared against the experimental permeate-flux data of Mallubhotla and Belfort (1997). Although this model can represent the data, the quality of its fit is inferior compared to that of the surface-renewal model.

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Simulation of continuous stirred ultrafiltration process: an approach based on surface renewal theory

Sarkar

Bardhan

Bandyopadhyay

et al. 2010

Asia-Pacific J Chem Eng

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Ultrafiltration (UF) is an important operation in many processes, including foods and pharmaceuticals, and shear enhanced dead‐end systems are particularly suitable for small‐scale operations. Most industrial applications require a high permeate flux and maximum solute rejection, combined with long membrane life. A rigorous surface renewal model has been developed which describes the mass transfer processes occurring in a single stirred UF cell. The model takes into consideration two distribution functions of random surface elements, one with respect to their point of origin and the other related to the corresponding residence time on the membrane surface. The back transport flux and the permeate flux are evaluated at the membrane surface in order to develop a component balance equation. The component balance equation and a rejection–flux relationship arising from irreversible thermodynamics are solved simultaneously to allow a dynamic simulation. The dynamic simulation enables a more complete understanding of the permeate flux, membrane surface concentration and permeate concentration under various operating conditions. For validation of the proposed model, experiments were conducted on UF of polyethylene glycol 6000 (PEG 6000) solution in a continuous stirred UF cell comprising a cellulose acetate membrane of 5000 Da molecular weight cut‐off. Model predicted values are in excellent agreement with the experimental results. The effects of different stirring mechanisms on mass transfer with flat disk, propeller and turbine impellers were also characterized using the developed model. Copyright © 2010 Curtin University of Technology and John Wiley & Sons, Ltd.

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Dynamic Properties of Ultrafiltration Systems in Light of the Surface Renewal Theory

Cited by 39 publications

References 26 publications

Influence of Residence-Time Distribution on a Surface-Renewal Model of Constant-Pressure Cross-Flow Microfiltration

Influence of Residence-Time Distribution on a Surface-Renewal Model of Constant-Pressure Cross-Flow Microfiltration

Application of a Surface-Renewal Model to Permeate-Flux Data for Constantpressure Cross-Flow Microfiltration With Dean Vortices

Simulation of continuous stirred ultrafiltration process: an approach based on surface renewal theory

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