An analytical model for spiral wound reverse osmosis membrane modules: Part II — Experimental validation

Sundaramoorthy, S.; Srinivasan, G.; Murthy, D.V.R.

doi:10.1016/j.desal.2011.04.037

Cited by 45 publications

(60 citation statements)

References 23 publications

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“…3). A similar trend was observed for all the sets of inlet feed flow rates by Sundaramoorthy et al (2011b). In general, the pressure decreases along the membrane due to friction along the channel length, which decreases the net pressure driving force(∆ − ∆ ) and brings down the diffusion rate of water through the membrane as can be seen in Fig.…”

Section: The Inlet Feed Flow Ratesupporting

confidence: 61%

“…(54) have been experimentally predicted by Sundaramoorthy et al (2011b) for chlorophenol aqueous solution and showed a fit about 0.99 as a regression coefficient in the method of least squares. Also, is a dimensionless solute concentration and can be calculated from:…”

Section: The Physical Properties Equationsmentioning

confidence: 99%

“…A commercial thin film composite RO membrane packed into a spiral-wound module (Make: Ion Exchange, India) used by Sundaramoorthy et al (2011b)in their experimental work to remove chlorophenol from aqueous solutions of different concentrations. The characteristics of the spiral-wound module are presented in Table 1.…”

Section: Problem Specifications: Steady-state Simulationmentioning

confidence: 99%

“…However, a limited number of published models describing RO process, especially for wastewater treatment is available in the public domain (Sundaramoorthy et al, 2011a).In addition, there are a few validation studies of mathematical models with wastewater experimental data (Sundaramoorthy et al, 2011b).…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Steady state and dynamic modeling of spiral wound wastewater reverse osmosis process

Al‐Obaidi

Mujtaba

2016

Computers & Chemical Engineering

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Section: The Inlet Feed Flow Ratesupporting

confidence: 61%

Section: The Physical Properties Equationsmentioning

confidence: 99%

Section: Problem Specifications: Steady-state Simulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Steady state and dynamic modeling of spiral wound wastewater reverse osmosis process

Al‐Obaidi

Mujtaba

2016

Computers & Chemical Engineering

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“…In order to validate the present work, we compare the numerical model results to experimental data collected by [33,[50][51][52]. In these experiments, a solution of sodium chloride is used as the feed solution.…”

Section: Comparison To Literature Datamentioning

confidence: 99%

Effectiveness-mass transfer units (ε-MTU) model of a reverse osmosis membrane mass exchanger

Banchik

Sharqawy

Lienhard

2014

Journal of Membrane Science

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A strong analogy exists between heat exchangers and osmotic mass exchangers. The effectiveness -number of transfer units (-NTU) method is well-known for the sizing and rating of heat exchangers. A similar method, called the effectiveness -mass transfer units (ε-MTU) method, is developed for reverse osmosis (RO) mass exchangers. Governing equations for an RO mass exchanger are nondimensionalized assuming ideal membrane characteristics and a linearized form of the osmotic pressure function for seawater. A closed form solution is found which relates three dimensionless groups: the number of mass transfer units, which is an effective size of the exchanger; a pressure ratio, which relates osmotic and hydraulic pressures; and the recovery ratio, which is the ratio of permeate to inlet feed flow rates. A novel performance parameter, the effectiveness of an RO exchanger, is defined as a ratio of the recovery ratio to the maximum recovery ratio. A one-dimensional numerical model is developed to correct for the effects of feed-side external concentration polarization and nonlinearities in osmotic pressure as a function of salinity. A comparison of model results to experimental data found in the literature resulted in an average error of less than 7.8%. The analytical ε-MTU model can be used for design or performance evaluation of RO membrane mass exchangers. Keywords

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Mass transfer coefficient of tubular ultrafiltration membranes under high‐flux conditions

et al. 2017

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The effect of suction flow on the mass transfer coefficient of tubular ultrafiltration membranes, in particular that under a high-flux condition, was studied. We pointed out that N Sh is proportional to N Re 0:875 N Sc 0:25 under turbulent conditions, and that the proportional constant, b, exceeds 0.023 when the effect of suction flow is not negligible. We conducted the velocity variation method using ultrafiltration membranes with MWCOs of 20k and 100k and dextrans having molecular weights of 40,000 and 70,000 at the conditions, where N Re exceeded 3:6310 3. We demonstrated that the effect of suction flow includes not only flux but also the diffusion coefficient of solute, and that the ratio of the flux to the diffusion coefficient, expressed as N Pe w , is an important index. Finally, we concluded that b50:023, when N Pe w is smaller than 2:23310 3 , giving the Deissler equation itself, and that b52:04310 26 3N 1:21 Pe w , when N Pe w exceeds 2:23310 3 .

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An analytical model for spiral wound reverse osmosis membrane modules: Part II — Experimental validation

Cited by 45 publications

References 23 publications

Steady state and dynamic modeling of spiral wound wastewater reverse osmosis process

Steady state and dynamic modeling of spiral wound wastewater reverse osmosis process

Effectiveness-mass transfer units (ε-MTU) model of a reverse osmosis membrane mass exchanger

Mass transfer coefficient of tubular ultrafiltration membranes under high‐flux conditions

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