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Progress of fitting models describing transport phenomena withnanofiltration membranes: A review
Abderrezak B.a, Mehdi M.a, Drouiche N.b, Wenten I.G.c, Hakim L.a
a Laboratory of Energy, Water Environment, PM3E, Bouira University, Algeria
b Department of Environmental Engineering, Technology of Semi-conductor for the Energetic Research Center (CRTSE), Algiers, Algeria
c Department of Chemical Engineering, Institut Teknologi Bandung, Bandung, 40132, Indonesia
[vc_row][vc_column][vc_row_inner][vc_column_inner][vc_separator css=”.vc_custom_1624529070653{padding-top: 30px !important;padding-bottom: 30px !important;}”][/vc_column_inner][/vc_row_inner][vc_row_inner layout=”boxed”][vc_column_inner width=”3/4″ css=”.vc_custom_1624695412187{border-right-width: 1px !important;border-right-color: #dddddd !important;border-right-style: solid !important;border-radius: 1px !important;}”][vc_empty_space][megatron_heading title=”Abstract” size=”size-sm” text_align=”text-left”][vc_column_text]© 2020 Desalination Publications. All rights reserved.Nanofiltration membranes have been widely used in various separation and purification applications such as industrial wastewater treatment, food, and pharmaceutical industries. During the last three decades, several mathematical models have been progressing to illustrate the transport phenomena and both the expression of water and solute fluxes in such a process. This paper looks into the aims and the limitations of the most used models by the research community, which gives a better understanding of these phenomena according to the complexity of this process. In this review, 24 mathematical models were presented from (Solution–diffusion models, irreversible thermodynamics models, extended Nernst–Planck equation and the Maxwell–Stefan model) those who give an overview contribution in this such study regarding the frequently problems (multi-ions solution, charged/uncharged solutes, pore geometry, membrane charge, and concentration polarization), each model present in this review was discussed in the terms of assumptions, advantages and disadvantages noticed.[/vc_column_text][vc_empty_space][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][vc_empty_space][megatron_heading title=”Author keywords” size=”size-sm” text_align=”text-left”][vc_column_text][/vc_column_text][vc_empty_space][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][vc_empty_space][megatron_heading title=”Indexed keywords” size=”size-sm” text_align=”text-left”][vc_column_text]Extended Nernst–Planck models,Irreversible thermodynamic models,Mathematical models,Nanofiltration,Solution–diffusion models[/vc_column_text][vc_empty_space][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][vc_empty_space][megatron_heading title=”Funding details” size=”size-sm” text_align=”text-left”][vc_column_text]The authors gratefully acknowledge support from Algerian Ministry of Higher Education and Scientific Research, Bouira University for Laboratory of Energy, Water, Environment, PM3E.[/vc_column_text][vc_empty_space][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][vc_empty_space][megatron_heading title=”DOI” size=”size-sm” text_align=”text-left”][vc_column_text]https://doi.org/10.5004/dwt.2020.25083[/vc_column_text][/vc_column_inner][vc_column_inner width=”1/4″][vc_column_text]Widget Plumx[/vc_column_text][/vc_column_inner][/vc_row_inner][/vc_column][/vc_row][vc_row][vc_column][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][/vc_column][/vc_row]