1968
DOI: 10.1016/s0011-9164(00)80104-6
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An electrical analogue for electrodialysis

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1971
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Cited by 26 publications
(5 citation statements)
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“…This theory is based on a boundary layer analysis of the steady convection–diffusion equation for an uncharged binary electrolyte, , where the flow is assumed to be fully developed and unidirectional and axial diffusion is neglected, as is usual for forced convection in straight pipes and channels. , Similar boundary layer approximations can be derived for membraneless flow batteries with forced convection over (selective) redox electrodes instead of IEMs . Extensions for turbulent flow, including effects of screen spacers to promote turbulent mixing, were incorporated in a general equivalent circuit model of ED by Belfort and Guter . Theoretical models were also used to calculate the pH profile and analyze ion selectivity (e.g., K + versus Ca 2+ , NO 3 – versus Cl – ) in ED.…”
Section: Electrokinetic Separationsmentioning
confidence: 99%
See 1 more Smart Citation
“…This theory is based on a boundary layer analysis of the steady convection–diffusion equation for an uncharged binary electrolyte, , where the flow is assumed to be fully developed and unidirectional and axial diffusion is neglected, as is usual for forced convection in straight pipes and channels. , Similar boundary layer approximations can be derived for membraneless flow batteries with forced convection over (selective) redox electrodes instead of IEMs . Extensions for turbulent flow, including effects of screen spacers to promote turbulent mixing, were incorporated in a general equivalent circuit model of ED by Belfort and Guter . Theoretical models were also used to calculate the pH profile and analyze ion selectivity (e.g., K + versus Ca 2+ , NO 3 – versus Cl – ) in ED.…”
Section: Electrokinetic Separationsmentioning
confidence: 99%
“…363 Extensions for turbulent flow, 364 including effects of screen spacers to promote turbulent mixing, 365 were incorporated in a general equivalent circuit model of ED by Belfort and Guter. 366 Theoretical models were also used to calculate the pH profile 367 and analyze ion selectivity (e.g., K + versus Ca 2+ , 348 NO 3 − versus Cl −368 ) in ED. In practical systems, the ideal diffusion-limited current is always exceeded when the applied voltage is sufficiently high, and possible mechanisms of this "overlimiting current" have been extensively studied in membrane science.…”
Section: Basic Principles Of Electrodialysismentioning
confidence: 99%
“…The limiting current density i lim,K of a cation-exchange membrane introduced based on the Nernst-diffusion model is represented as Eq. (1), which is applied extensively for discussing the transport phenomena [6][7][8][9][10][11][12][13][14] …”
Section: Limiting Current Density Of An Ion-exchange Membranementioning
confidence: 99%
“…As ions of the same charge move to the same electrode so their separation is closely related to the characteristics of the ion‐exchange membrane, especially its permselectivity in the system being used 15. Several papers have been published on the preferential transport of ions through an ion‐exchange membrane with electrodialysis in the absence of a complexing agent in which the permselectivities of both cation‐exchange and anion‐exchange membranes were studied 16–20. A metal ion separation process which combines the electrodialysis technique and complexing reactions has recently received attention 21–24.…”
Section: Introductionmentioning
confidence: 99%