CFD Investigation of Near-Membrane Slippery Condition Effects on Water/Salt Transport in a Reverse Osmosis Feed Channel

Taherinejad, Morteza; Afrouzan, Alireza; Derakhshan, Shahram

doi:10.1007/s13369-020-05198-8

Cited by 3 publications

(3 citation statements)

References 33 publications

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“…The definitions of k m (m/s) is given in Equation (14). Q (m 3 /h) can be calculated by Equation (15).…”

Section: Establishment and Solution Of Meter-scale Ro System Modelmentioning

confidence: 99%

“…The simulated results show that the flow field and local shear stress and mass-transfer-coefficient distributions on membranes, and shear stress distributions on spacer filaments are rather uniform. In addition, some researchers suggest that applying some characteristics (such as slip velocity) on the membrane surface can also effectively reduce concentration polarization and enhance mass transfer [13][14][15].…”

Section: Introductionmentioning

confidence: 99%

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High-Throughput Optimal Design of Spacers Using Triply Periodic Minimal Surfaces in BWRO

2022

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The development of advanced feed spacers under different working conditions can enhance the performance of the reverse osmosis (RO) desalination process. The 3D-printed experimental results on triply periodic minimal surfaces (TPMS) -based spacers in previous literature indicate that the spacers have higher permeation flux of water compared to those of the common commercial spacers. In this paper, a hybrid modeling approach is developed and applied to predict and evaluate the performance of TPMS-based spacers. The effect of feed channels’ height and porosity on the performance of spacers in brackish water RO (BWRO) process is studied by using a high-throughput approach. The predicted pressure drop by new simulations using the TPMS-based spacers (≈0.09–0.27 bar) from inlet to outlet in a typical two-stage BWRO system is reduced by more than 89% than that of using the commercial spacer (≈2.57 bar). Using the designed advanced spacers, the average permeation flux of water increases more than 8.6% compared to that of the commercial one. With the increase in feed channel height and porosity, the performance of spacers is gradually improved. TPMS-based spacers have significant industrial application prospects.

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“…The definitions of k m (m/s) is given in Equation (14). Q (m 3 /h) can be calculated by Equation (15).…”

Section: Establishment and Solution Of Meter-scale Ro System Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

High-Throughput Optimal Design of Spacers Using Triply Periodic Minimal Surfaces in BWRO

2022

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“…]; Michaels 1968 [p.297]), involves anisotropic ultrafiltration membranes and an accumulation of solutes that forms "a polarized gel-layer" (Singh and Laurence 1979 [p.721]). As such, flow problems with slip conditions have been examined subsequently by many authors, such as Chellam et al ( , 1992; Ullah et al (2021); Bhat and Katagi (2021); Balhoff et al (2010); Ullah et al (2020); Siddiqui et al (2020); Varunkumar and Muthu (2020); Ullah et al (2019); Farooq et al (2018); Ashwini et al (2017); Cox and Hill (2011); El-Genk and Yang (2009); Nazari Moghaddam and Jamiolahmady (2016); Nishiyama and Yokoyama (2017); Sparrow et al (1974); Rasoulzadeh and Panfilov (2018); Skjetne and Auriault (1999); Taherinejad et al (2021).…”

Section: Introductionmentioning

confidence: 99%

When is the Porous, Laminar Flow Problem with Slip Condition Well Posed? And Where Does the Solution Lie?

Hao

Tisdell

2023

Transp Porous Med

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The aim of this article is to advance the current state of knowledge for steady, isothermal, incompressible, laminar flow within a channel featuring a non-zero tangential (or slip) velocity at the permeable walls. There has been significant interest in understanding the solutions to these problems. However, a firm mathematical understanding of the solutions to the slip problem and their properties is yet to be fully developed. For example, we still do not know: if the slip problem is well-posed; where the precise solution lies; if and how approximations converge to the solution; and what the estimates on approximation errors are. Herein we formulate a new mathematical foundation that includes existence; uniqueness; location; approximation; convergence and error estimates. Our strategy involves developing insight via new and interesting connections between the boundary value problem arising from modelling the laminar flow with slip velocity, and the theory of fixed points of operators.

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Effect of slip velocity on hydrodynamics in a desalination membrane

Soares,

Morais,

Rouboa

2024

International Conference of Numerical Analysis and Applied Mathematics: Icnaam2022

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CFD Investigation of Near-Membrane Slippery Condition Effects on Water/Salt Transport in a Reverse Osmosis Feed Channel

Cited by 3 publications

References 33 publications

High-Throughput Optimal Design of Spacers Using Triply Periodic Minimal Surfaces in BWRO

High-Throughput Optimal Design of Spacers Using Triply Periodic Minimal Surfaces in BWRO

When is the Porous, Laminar Flow Problem with Slip Condition Well Posed? And Where Does the Solution Lie?

Effect of slip velocity on hydrodynamics in a desalination membrane

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