Review of 3D CFD modeling of flow and mass transfer in narrow spacer-filled channels in membrane modules
暂无分享,去创建一个
[1] G. S. Patterson,et al. Numerical Simulation of Three-Dimensional Homogeneous Isotropic Turbulence , 1972 .
[2] Dianne E. Wiley,et al. Novel spacer design improves observed flux , 2004 .
[3] In Seok Kang,et al. The effect of turbulence promoters on mass transfer—numerical analysis and flow visualization , 1982 .
[4] Peter Harriott,et al. Unit Operations of Chemical Engineering , 2004 .
[5] Thomas K. Sherwood,et al. Desalination by Reverse Osmosis , 1967 .
[6] James Clerk Maxwell,et al. IV. On the dynamical theory of gases , 1868, Philosophical Transactions of the Royal Society of London.
[7] Jae Min Hyun,et al. Analyses of three-dimensional flow calculations in a driven cavity , 1990 .
[8] David F. Fletcher,et al. A computational fluids dynamics study of buoyancy effects in reverse osmosis , 2004 .
[9] Georges Belfort,et al. Fluid mechanics in membrane filtration: Recent developments☆ , 1989 .
[10] Sandeep K. Karode,et al. Flow visualization through spacer filled channels by computational fluid dynamics I. , 2001 .
[11] Javier Garrido,et al. A finite-difference method for numerical solution of the steady-state nernst—planck equations with non-zero convection and electric current density , 1986 .
[12] M. Fiebig,et al. Vortices and Heat Transfer , 1997 .
[13] P. Moulin,et al. Dean vortices applied to membrane process Part I. Experimental approach , 2007 .
[14] David F. Fletcher,et al. Simulation of the Flow around Spacer Filaments between Channel Walls. 2. Mass-Transfer Enhancement , 2002 .
[15] Dianne E. Wiley,et al. Optimisation of membrane module design for brackish water desalination , 1985 .
[16] Dianne E. Wiley,et al. CFD simulations of net-type turbulence promoters in a narrow channel , 2001 .
[17] J. A. Wesselingh,et al. Transport of large molecules through membranes with narrow pores - The Maxwell-Stefan description combined with hydrodynamic theory , 2002 .
[18] Abdul Latif Ahmad,et al. Feed spacer mesh angle: 3D modeling, simulation and optimization based on unsteady hydrodynamic in spiral wound membrane channel , 2009 .
[19] Ken Darcovich,et al. Turbulent transport in membrane modules by CFD simulation in two dimensions , 1995 .
[20] P. Feron,et al. The influence of separators on hydrodynamics and mass transfer in narrow cells: Flow visualisation , 1991 .
[21] P. R. Neal,et al. The effect of filament orientation on critical flux and particle deposition in spacer-filled channels , 2003 .
[22] Janet M. Twomey,et al. Validation and Verification , 1997 .
[23] Viriato Semiao,et al. Hydrodynamics and concentration polarization in NF/RO spiral-wound modules with ladder-type spacers , 2003 .
[24] Geert Versteeg,et al. Application of the Maxwell–Stefan theory to the transport in ion-selective membranes used in the chloralkali electrolysis process , 1999 .
[25] Rajamani Krishna,et al. THE MAXWELL-STEFAN FORMULATION OF IRREVERSIBLE THERMODYNAMICS FOR SIMULTANEOUS HEAT AND MASS TRANSFER , 1979 .
[26] David F. Fletcher,et al. Simulation of the Flow around Spacer Filaments between Narrow Channel Walls. 1. Hydrodynamics , 2002 .
[27] David F. Fletcher,et al. Laminar Flow and Heat Transfer in a Periodic Serpentine Channel , 2005 .
[28] W. Focke,et al. On the mechanism of transfer enhancement by eddy promoters , 1983 .
[29] Dianne E. Wiley,et al. Spacer characterization and pressure drop modelling in spacer-filled channels for ultrafiltration☆ , 1994 .
[30] B. Narang,et al. Exact solution for entrance region flow between parallel plates , 1983 .
[31] John H. Weare,et al. Calculation of multicomponent ionic diffusion from zero to high concentration: I. The system Na-K-Ca-Mg-Cl-SO4-H2O at 25°C , 1991 .
[32] A. B. de Haan,et al. Novel spacers for mass transfer enhancement in membrane separations , 2005 .
[33] Antonio Ficarella,et al. Numerical analysis of a cross-flow compact heat exchanger for vehicle applications , 2005 .
[34] David F. Fletcher,et al. Spiral wound modules and spacers - Review and analysis , 2004 .
[35] Takeshi Kataoka,et al. A consideration on flow distribution in an ion exchange compartment with spacer , 1982 .
[36] David F. Fletcher,et al. Unsteady flows with mass transfer in narrow zigzag spacer-filled channels : A numerical study , 2006 .
[37] Hans G.L. Coster,et al. Direct observation of particle deposition on the membrane surface during crossflow microfiltration , 1998 .
[38] Viriato Semiao,et al. Flow management in nanofiltration spiral wound modules with ladder-type spacers , 2002 .
[39] Masoud Rahimi,et al. CFD modeling of permeate flux in cross-flow microfiltration membrane , 2005 .
[40] Weeratunge Malalasekera,et al. An introduction to computational fluid dynamics - the finite volume method , 2007 .
[41] P. Roache. QUANTIFICATION OF UNCERTAINTY IN COMPUTATIONAL FLUID DYNAMICS , 1997 .
[42] Kuo-Lun Tung,et al. CFD simulation of fluid flow through spacer-filled membrane module : selecting suitable cell types for periodic boundary conditions , 2008 .
[43] Viriato Semiao,et al. Concentration polarisation and flow structure within nanofiltration spiral-wound modules with ladder-type spacers , 2004 .
[44] U. Merten,et al. Flow Relationships in Reverse Osmosis , 1963 .
[45] James M. Dickson,et al. Mathematical modeling of nanofiltration membranes with mixed electrolyte solutions , 2004 .
[46] Edward L Cussler,et al. Applicability of the Stefan‐Maxwell equations to multicomponent diffusion in liquids , 1962 .
[47] Timothy G. Trucano,et al. Verification and Validation in Computational Fluid Dynamics , 2002 .
[48] Clement Kleinstreuer,et al. Laminar dilute suspension flows in plate- and frame ultrafiltration units , 1983 .
[49] Georges Belfort,et al. Dean Vortices with Wall Flux in a Curved Channel Membrane System: 3. Concentration Polarization in a Spiral Reverse Osmosis Slit , 1998 .
[50] B. B. Owen,et al. The Physical Chemistry of Electrolytic Solutions , 1963 .
[51] R. Krishna,et al. The Maxwell-Stefan approach to mass transfer , 1997 .
[52] Vivek V. Ranade,et al. Fluid dynamics of spacer filled rectangular and curvilinear channels , 2006 .
[53] Jie Bao,et al. A unified model of the time dependence of flux decline for the long-term ultrafiltration of whey , 2009 .
[54] J. A. Wesselingh,et al. EXPLORING THE MAXWELL-STEFAN DESCRIPTION OF ION-EXCHANGE , 1995 .
[55] A. Katchalsky,et al. Thermodynamic analysis of the permeability of biological membranes to non-electrolytes. , 1958, Biochimica et biophysica acta.
[56] Anthony G. Fane,et al. Enhanced concentration polarization by unstirred fouling layers in reverse osmosis: Detection by sodium chloride tracer response technique , 2007 .
[57] David F. Fletcher,et al. Simulation of Unsteady Flow and Vortex Shedding for Narrow Spacer-Filled Channels , 2003 .
[58] B. Gros,et al. Membrane mass transport modeling with the periodic boundary condition , 2009, Computers and Chemical Engineering.
[59] Philippe Moulin,et al. Computational fluid dynamics applied to membranes: State of the art and opportunities , 2006 .
[60] L. Onsager,et al. THEORIES AND PROBLEMS OF LIQUID DIFFUSION , 1945, Annals of the New York Academy of Sciences.
[61] Woo-Sik Kim,et al. Mass transfer in a three-dimensional net-type turbulence promoter , 1987 .
[62] Wen-Quan Tao,et al. Numerical prediction for laminar forced convection heat transfer in parallel-plate channels with streamwise-periodic rod disturbances , 1998 .
[63] David G. Thomas. Forced convection mass transfer: Part III. Increased mass transfer from a flat plate caused by the wake from cylinders located near the edge of the boundary layer , 1966 .
[64] J. Ziegler,et al. Ion exchange diffusion in electromembranes and its description using the Maxwell-Stefan formalism , 1997 .
[65] Vivek V. Ranade,et al. Comparison of flow structures in spacer-filled flat and annular channels⁎ , 2006 .
[66] João M. Miranda,et al. Mass transfer in the vicinity of a separation membrane: the applicability of the stagnant film theory , 2002 .
[67] R. Reid,et al. The Properties of Gases and Liquids , 1977 .
[68] K. S. Spiegler,et al. Transport processes in ionic membranes , 1958 .
[69] Kyung-Soo Yang. Numerical Investigation of Instability and Transition in an Obstructed Channel Flow , 2000 .
[70] Lianfa Song,et al. A numerical study on concentration polarization and system performance of spiral wound RO membrane modules , 2006 .
[71] P. L. T. Brian,et al. Concentration Polar zation in Reverse Osmosis Desalination with Variable Flux and Incomplete Salt Rejection , 1965 .
[72] P. Moulin,et al. Dean vortices applied to membrane process Part II: Numerical approach , 2007 .
[73] J.L.C. Santos,et al. Investigation of flow patterns and mass transfer in membrane module channels filled with flow-aligned spacers using computational fluid dynamics (CFD) , 2007 .
[74] David F. Fletcher,et al. Techniques for computational fluid dynamics modelling of flow in membrane channels , 2003 .
[75] A. S. Berman. Laminar Flow in Channels with Porous Walls , 1953 .
[76] W. L. Griffith,et al. The role of turbulence promoters in hyperfiltration plant optimization , 1971 .
[77] Abdul Wahab Mohammad,et al. Predicting flux and rejection of multicomponent salts mixture in nanofiltration membranes , 2003 .
[78] S. G. Yiantsios,et al. Direct numerical simulation of flow in spacer-filled channels: Effect of spacer geometrical characteristics , 2007 .
[79] S. Orszag,et al. Renormalization group analysis of turbulence. I. Basic theory , 1986 .
[80] P. Amblard,et al. Modeling of multi-electrolyte transport in charged ceramic and organic nanofilters using the computer simulation program NanoFlux , 2002 .
[81] David E. Anderson,et al. Multicomponent Electrolyte Diffusion , 1976 .
[82] B. Massey,et al. Mechanics of Fluids , 2018 .
[83] Anthony G. Fane,et al. Effect of viscosity on concentration polarization in ultrafiltration , 1988 .
[84] Shoji Kimura,et al. Concentration Polarization Effects in Reverse Osmosis Using Porous Cellulose Acetate Membranes , 1968 .
[85] P. R. Neal,et al. Estimation of foulant deposition across the leaf of a spiral-wound module☆ , 2002 .
[86] Christian Trägårdh,et al. Computer simulations of mass transfer in the concentration boundary layer over ultrafiltration membranes , 1993 .
[87] David F. Fletcher,et al. Computational fluid dynamics simulations of taylor bubbles in tubular membranes: Model validation and application to laminar flow systems , 2005 .
[88] S. G. Yiantsios,et al. Numerical simulation of the flow in a plane-channel containing a periodic array of cylindrical turbulence promoters , 2004 .
[89] Dianne E. Wiley,et al. Numerical study of two-dimensional multi-layer spacer designs for minimum drag and maximum mass transfer , 2008 .
[90] M. Shakaib,et al. Study on the effects of spacer geometry in membrane feed channels using three-dimensional computational flow modeling , 2007 .
[91] Sandeep K. Karode,et al. Laminar flow in channels with porous walls, revisited ☆ , 2001 .
[92] Chaoyang Wang. Exact Solutions of the Steady-State Navier-Stokes Equations , 1991 .
[93] Zhanfeng Cui,et al. A Maxwell-Stefan approach to modelling the cross-flow ultrafiltration of protein solutions in tubular membranes , 1998 .
[94] Joshua S. Dranoff,et al. Application of the Stefan-Maxwell equations to diffusion in ion exchangers. 1. Theory , 1982 .
[95] Y. Shah,et al. Mass transport in reverse osmosis in case of variable diffusivity , 1971 .
[96] S. Orszag,et al. Renormalization group analysis of turbulence. I. Basic theory , 1986, Physical review letters.
[97] W.G.B. Mandersloot,et al. The effect of viscous forces on heat and mass transfer in systems with turbulence promoters and in packed beds , 1968 .
[98] Sara Q. Zhang,et al. A three‐dimensional instability in mixed convection with streamwise periodic heating , 1995 .
[99] A. B. de Haan,et al. Optimization of commercial net spacers in spiral wound membrane modules , 2002 .
[100] Georges Belfort,et al. Dean vortices with wall flux in a curved channel membrane system , 1993 .
[101] Vítor Geraldes,et al. Generalized mass-transfer correction factor for nanofiltration and reverse osmosis , 2006 .
[102] Cristina H. Amon,et al. Numerical prediction of convective heat transfer in self-sustained oscillatory flows , 1990 .
[103] S. G. Yiantsios,et al. A numerical and experimental study of mass transfer in spacer-filled channels: Effects of spacer geometrical characteristics and Schmidt number , 2009 .
[104] A. H. P. Skelland,et al. Diffusional mass transfer , 1974 .
[105] M. Fiebig. Embedded vortices in internal flow: heat transfer and pressure loss enhancement , 1995 .
[106] Anthony G. Fane,et al. Net-Type Spacers: Effect of Configuration on Fluid Flow Path and Ultrafiltration Flux , 1994 .
[107] David G. Thomas. Forced convection mass transfer: Part II. Effect of wires located near the edge of the laminar boundary layer on the rate of forced convection from a flat plate , 1965 .
[108] Abderrahim Abbas,et al. Use of fluid instabilities to enhance membrane performance: a review , 2001 .
[109] Anthony G. Fane,et al. Optimal channel spacer design for ultrafiltration , 1991 .
[110] Ain A. Sonin,et al. Sherwood Number and Friction Factor Correlations for Electrodialysis Systems, with Application to Process Optimization , 1976 .
[111] F. Menter. Two-equation eddy-viscosity turbulence models for engineering applications , 1994 .
[112] R. I. Kermode,et al. Prediction of concentration polarization and flux behavior in reverse osmosis by numerical analysis , 1990 .
[113] Vítor Geraldes,et al. Flow and mass transfer modelling of nanofiltration , 2001 .
[114] Ya-Ling He,et al. Experimental study on friction factor and numerical simulation on flow and heat transfer in an alternating elliptical axis tube , 2006 .
[115] G. Schock,et al. Mass transfer and pressure loss in spiral wound modules , 1987 .
[116] Georges Belfort,et al. Fluid mechanics and cross-flow filtration: some thoughts , 1985 .
[117] Rajamani Krishna,et al. Diffusion in multicomponent electrolyte systems , 1987 .
[118] Raphael Semiat,et al. Investigation of flow next to membrane walls , 2005 .
[119] Edward L Cussler,et al. Diffusion: Mass Transfer in Fluid Systems , 1984 .
[120] Dianne E. Wiley,et al. Numerical study of mass transfer in three-dimensional spacer-filled narrow channels with steady flow , 2007 .
[121] Wen-Quan Tao,et al. An experimental study on heat/mass transfer and pressure drop characteristics for arrays of nonuniform plate length positioned obliquely to the flow direction , 1993 .
[122] Vicki Chen,et al. Simulation of protein ultrafiltration using CFD: Comparison of concentration polarisation and fouling effects with filtration and protein adsorption experiments , 2009 .
[123] E. Sparrow,et al. Fully Developed Flow and Heat Transfer in Ducts Having Streamwise-Periodic Variations of Cross-Sectional Area , 1977 .
[124] Jae Min Hyun,et al. Numerical simulation of three-dimensional flow structure in a driven cavity , 1989 .
[125] Georges Belfort,et al. An experimental study of electrodialysis hydrodynamics , 1972 .
[126] P. Knupp,et al. Completed Richardson extrapolation , 1993 .