Abstract
Electrodialysis is an electro-membrane process for desalination, concentration, and separation in electric fields. In this process, the operating currents are limited by the concentration polarization phenomena and the limiting current density. Usually, this parameter depends on membrane and solution properties as well as on the electrodialysis stack construction. In this research paper, we will apply the Box–Behnken design in combination with response surface methodology to the development of a predictive limiting current density model. We will also study the effects of three variables related to solution composition (calcium, sulfate, and bicarbonate concentrations) on this parameter.
Similar content being viewed by others
References
Ghyselbrecht K, Huygebaert M, Van der Bruggen B, Ballet R, Meesschaert B, Pinoy L (2013) Desalination of an industrial saline water with conventional and bipolar membrane electrodialysis. Desalination 318:9–18. doi:10.1016/j.desal.2013.03.020
Ghyselbrecht K, Silva A, Van der Bruggen B, Boussu K, Meesschaert B, Pinoy L (2014) Desalination feasibility study of an industrial NaCl stream by bipolar membrane electrodialysis. J Environ Manag 140:69–75
Moon S-H, Yun S-H (2014) Process integration of electrodialysis for a cleaner environment. Current Opinion in Chemical Engineering 4:25–31
Xu T, Huang C (2008) Electrodialysis-based separation technologies: a critical review. AICHE J 54(12):3147–3159. doi:10.1002/aic.11643
Banasiak LJ, Schäfer AI (2009) Removal of boron, fluoride and nitrate by electrodialysis in the presence of organic matter. J Membr Sci 334(1–2):101–109
Dermentzis K (2010) Removal of nickel from electroplating rinse waters using electrostatic shielding electrodialysis/electrodeionization. J Hazard Mater 173(1–3):647–652. doi:10.1016/j.jhazmat.2009.08.133
Karimi L, Ghassemi A (2016) An empirical/theoretical model with dimensionless numbers to predict the performance of electrodialysis systems on the basis of operating conditions. Water Res 98:270–279. doi:10.1016/j.watres.2016.04.014
Káňavová N, Machuča L, Tvrzník D (2014) Determination of limiting current density for different electrodialysis modules. Chem Pap 68(3):324–329
Krol JJ, Wessling M, Strathmann H (1999) Concentration polarization with monopolar ion exchange membranes: current–voltage curves and water dissociation. J Membr Sci 162(1–2):145–154. doi:10.1016/S0376-7388(99)00133-7
Meng H, Deng D, Chen S, Zhang G (2005) A new method to determine the optimal operating current (i lim') in the electrodialysis process. Desalination 181(1):101–108
Geraldes V, Afonso MD (2010) Limiting current density in the electrodialysis of multi-ionic solutions. J Membr Sci 360(1–2):499–508. doi:10.1016/j.memsci.2010.05.054
Tanaka Y (2005) Limiting current density of an ion-exchange membrane and of an electrodialyzer. J Membr Sci 266(1–2):6–17. doi:10.1016/j.memsci.2005.05.005
Tanaka Y (2006) Irreversible thermodynamics and overall mass transport in ion-exchange membrane electrodialysis. J Membr Sci 281(1–2):517–531. doi:10.1016/j.memsci.2006.04.022
Tanaka Y (2012) Ion-exchange membrane electrodialysis program and its application to multi-stage continuous saline water desalination. Desalination 301:10–25. doi:10.1016/j.desal.2012.06.007
Nakayama A, Sano Y, Bai X, Tado K (2017) A boundary layer analysis for determination of the limiting current density in an electrodialysis desalination. Desalination 404:41–49. doi:10.1016/j.desal.2016.10.013
Wang Y, Huang C, Xu T (2010) Optimization of electrodialysis with bipolar membranes by using response surface methodology. J Membr Sci 362(1–2):249–254. doi:10.1016/j.memsci.2010.06.049
Zazouli MA, Dianati Tilaki RA, Safarpour M (2014) Modeling nitrate removal by nano-scaled zero-valent iron using response surface methodology. Health Scope 3(3):e15728
Fouladitajar A, Ashtiani FZ, Dabir B, Rezaei H, Valizadeh B (2014) Response surface methodology for the modeling and optimization of oil-in-water emulsion separation using gas sparging assisted microfiltration. Environmental Science and Pollution Research:1–17
Mourabet M, El Rhilassi A, El Boujaady H, Bennani-Ziatni M, Taitai A (2014) Use of response surface methodology for optimization of fluoride adsorption in an aqueous solution by Brushite. Arab J Chem. doi:10.1016/j.arabjc.2013.12.028
Mourabet M, El Rhilassi A, El Boujaady H, Bennani-Ziatni M, El Hamri R, Taitai A (2012) Removal of fluoride from aqueous solution by adsorption on Apatitic tricalcium phosphate using Box–Behnken design and desirability function. Appl Surf Sci 258(10):4402–4410. doi:10.1016/j.apsusc.2011.12.125
Boubakri A, Hafiane A, Bouguecha SAT (2014) Application of response surface methodology for modeling and optimization of membrane distillation desalination process. J Ind Eng Chem 20(5):3163–3169. doi:10.1016/j.jiec.2013.11.060
Boubakri A, Bouchrit R, Hafiane A, Bouguecha SA-T (2014) Fluoride removal from aqueous solution by direct contact membrane distillation: theoretical and experimental studies. Environ Sci Pollut Res:1–9
Ferreira SLC, Bruns RE, Ferreira HS, Matos GD, David JM, Brandão GC, da Silva EGP, Portugal LA, dos Reis PS, Souza AS, dos Santos WNL (2007) Box-Behnken design: an alternative for the optimization of analytical methods. Anal Chim Acta 597(2):179–186. doi:10.1016/j.aca.2007.07.011
Aslan N, Cebeci Y (2007) Application of Box–Behnken design and response surface methodology for modeling of some Turkish coals. Fuel 86(1–2):90–97. doi:10.1016/j.fuel.2006.06.010
Isgoren M, Gengec E, Veli S (2016) Evaluation of wet air oxidation variables for removal of organophosphorus pesticide malathion using Box-Behnken design. Water Sci Technol. doi:10.2166/wst.2016.479
Sahoo C, Gupta AK (2012) Optimization of photocatalytic degradation of methyl blue using silver ion doped titanium dioxide by combination of experimental design and response surface approach. J Hazard Mater 215–216:302–310. doi:10.1016/j.jhazmat.2012.02.072
Ben Sik Ali M, Hafiane A, Dhahbi M, Hamrouni B (2014) Desalination of brackish water by electrodialysis: effects of operational parameters and water composition on process efficiency. In: Daniels JA (ed) Advances in environmental research. Volume 32. Advances in environmental research. Nova Science Publishers, New York, p 372
Alvarado L, Chen A (2014) Electrodeionization: principles, strategies and applications. Electrochim Acta 132:583–597. doi:10.1016/j.electacta.2014.03.165
Zerdoumi R, Oulmi K, Benslimane S (2014) Electrochemical characterization of the CMX cation exchange membrane in buffered solutions: effect on concentration polarization and counterions transport properties. Desalination 340:42–48. doi:10.1016/j.desal.2014.02.014
Doyen A, Roblet C, L’Archevêque-Gaudet A, Bazinet L (2014) Mathematical sigmoid-model approach for the determination of limiting and over-limiting current density values. J Membr Sci 452:453–459
Ben Sik Ali M, Mnif A, Hamrouni B, Dhahbi M (2010) Electrodialytic desalination of brackish water: effect of process parameters and water characteristics. Ionics 16(7):621–629. doi:10.1007/s11581-010-0441-2
Baker RW (2004) Membrane technology and applications, 2nd edn. John Wiley & Sons, Ltd., England
Noble RD, Stern SA (1995) Membrane separations technologies principles and applications, Membrane science and technology series, vol 2. Elsevier Science B.V., Amsterdam
Strathmann H (2010) Electrodialysis, a mature technology with a multitude of new applications. Desalination 264(3):268–288. doi:10.1016/j.desal.2010.04.069
Nikonenko VV, Kovalenko AV, Urtenov MK, Pismenskaya ND, Han J, Sistat P, Pourcelly G (2014) Desalination at overlimiting currents: state-of-the-art and perspectives. Desalination 342:85–106
Tanaka Y (2002) Current density distribution, limiting current density and saturation current density in an ion-exchange membrane electrodialyzer. J Membr Sci 210(1):65–75
Lee HJ, Sarfert F, Strathmann H, Moon SH (2002) Designing of an electrodialysis desalination plant. Desalination 142(3):267–286
Długołęcki P, Anet B, Metz SJ, Nijmeijer K, Wessling M (2010) Transport limitations in ion exchange membranes at low salt concentrations. J Membr Sci 346(1):163–171. doi:10.1016/j.memsci.2009.09.033
Baş D, Boyacı İH (2007) Modeling and optimization I: usability of response surface methodology. J Food Eng 78(3):836–845. doi:10.1016/j.jfoodeng.2005.11.024
Kwak J-S (2005) Application of Taguchi and response surface methodologies for geometric error in surface grinding process. Int J Mach Tools Manuf 45(3):327–334. doi:10.1016/j.ijmachtools.2004.08.007
Zuorro A, Fidaleo M, Lavecchia R (2013) Response surface methodology (RSM) analysis of photodegradation of sulfonated diazo dye Reactive Green 19 by UV/H2O2 process. J Environ Manag 127:28–35. doi:10.1016/j.jenvman.2013.04.023
Šumić Z, Vakula A, Tepić A, Čakarević J, Vitas J, Pavlić B (2016) Modeling and optimization of red currants vacuum drying process by response surface methodology (RSM). Food Chem 203:465–475. doi:10.1016/j.foodchem.2016.02.109
Sohrabi S, Akhlaghian F (2016) Modeling and optimization of phenol degradation over copper-doped titanium dioxide photocatalyst using response surface methodology. Process Saf Environ Prot 99:120–128. doi:10.1016/j.psep.2015.10.016
Ben Sik Ali M, Hamrouni B (2016) Development of a predictive model of the limiting current density of an electrodialysis process using response surface methodology. Membrane Water Treatment 7(2):127–141. doi:10.12989/mwt.2016.7.2.127
Strathmann H (2004) Ion-exchange membranes separation processes, vol 9. Membrane Science and Technology Series. Elsevier B.V, Amsterdam
Cavazzuti M (2012) Optimization methods: from theory to design scientific and technological aspects in mechanics. Springer Science & Business Media
Wang Y, Huang C, Xu T (2010) Optimization of electrodialysis with bipolar membranes by using response surface methodology. J Membr Sci 362(1-2):249-254
Ben Sik Ali M, Mnif A, Hamrouni B, Dhahbi M, (2010) Electrodialytic desalination of brackish water: effect of process parameters and water characteristics. Ionics 16(7):621-629
Lee H-J, Strathmann H, Moon S-H (2006) Determination of the limiting current density in electrodialysis desalination as an empirical function of linear velocity. Desalination 190(1-3):43-50
Acknowledgements
The authors are sincerely grateful to Dr. Chaouki M’kaddem, Senior Teacher of English at the Ministry of Education of Tunisia, for proofreading and editing our manuscript.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Ben Sik Ali, M., Mnif, A. & Hamrouni, B. Modelling of the limiting current density of an electrodialysis process by response surface methodology. Ionics 24, 617–628 (2018). https://doi.org/10.1007/s11581-017-2214-7
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11581-017-2214-7