纳滤过程模型的研究进展
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摘要
纳滤过程在稀有金属钨、钼及稀有轻金属锂的冶炼过程中得到越来越广泛的应用。随着纳滤过程研究的扩展及深入,建立能准确预测纳滤膜性能的模型变得十分重要。纳滤过程模型较多,本文简述了纳滤数学模型中简单的不可逆热力学模型、溶解扩散模型,考虑微孔的空间位阻-孔道模型,引入电荷因素的电荷模型、静电排斥和立体位阻模型、DSPM模型(Donnan-steric partitioning pore model),以及加入介电效应的SEDE模型(steric,electric and dielectric exclusion model),讨论了各模型的不同点及适用范围,综述了有限元分析和人工神经网络在纳滤过程模拟方面的研究,提出了研究重难点及研究方向。
The nanofiltration process has been widely used in the metallurgical process of rare metal tungsten,molybdenum and rare light metal lithium.Because of expansion and deepening of the research on nanofiltration process,it is necessary to establish a model which can accurately predict the performance of nanofiltration membrane.Many nanofiltration process models are formed and several nanofiltration mathematical models described in this study are as follows:the simple irreversible thermodynamics model and the solution-diffusion model,the steric hindrance-pore model concerning nanopore,the charge model,the electrostatic and steric-hindrance model and the Donnan-steric partitioning pore model introducing charge factors,and the steric,electric and dielectric exclusion model with dielectric effect.Then the differences among the models and their application ranges are respectively discussed.The study of finite element analysis and artificial neural network in the simulation of nanofiltration process is reviewed,and research priorities and directions are put forward.
The nanofiltration process has been widely used in the metallurgical process of rare metal tungsten,molybdenum and rare light metal lithium.Because of expansion and deepening of the research on nanofiltration process,it is necessary to establish a model which can accurately predict the performance of nanofiltration membrane.Many nanofiltration process models are formed and several nanofiltration mathematical models described in this study are as follows:the simple irreversible thermodynamics model and the solution-diffusion model,the steric hindrance-pore model concerning nanopore,the charge model,the electrostatic and steric-hindrance model and the Donnan-steric partitioning pore model introducing charge factors,and the steric,electric and dielectric exclusion model with dielectric effect.Then the differences among the models and their application ranges are respectively discussed.The study of finite element analysis and artificial neural network in the simulation of nanofiltration process is reviewed,and research priorities and directions are put forward.
引文
[1]王晓琳,涂丛慧,方彦彦,等.纳滤膜孔结构、荷电性质、分离机理及动电性质研究进展[J].膜科学与技术,2011,31(3):127-134.
[2]王晓琳.纳滤膜分离机理及其应用研究进展[J].化学通报,2001,64(2):86-90.
[3]黄万抚,李英杰,李新冬.纳滤技术在矿冶领域的应用研究进展[J].工业水处理,2016,36(11):1-4.
[4]张秀峰,谭秀民,张利珍.纳滤膜分离技术应用于盐湖卤水提锂的研究进展[J].无机盐工业,2017,49(1):1-5.
[5]温现明.荷电膜在盐湖卤水中的传递性质研究[D].北京:中国科学院研究生院(青海盐湖研究所),2006.
[6]ABBAS A,AL-BASTAKI N.Modeling of an RO water desalination unit using neural networks[J].Chemical Engineering Journal,2005,114(1-3):139-143.
[7]李朋,王剑,江爱朋,等.反渗透海水淡化故障诊断专家系统的开发[J].科技通报,2011,27(5):726-731.
[8]童赟.水处理领域中智能控制的应用与研究[D].天津:天津大学,2012.
[9]SADRZADEH M,MOHAMMADI T,IVAKPOUR J,et al.Separation of lead ions from wastewater using electrodialysis:Comparing mathematical and neural network modeling[J].Chemical Engineering Journal,2008,144(3):431-441.
[10]SOLEIMANI R,SHOUSHTARI N A,MIRZA B,et al.Experimental investigation,modeling and optimization of membrane separation using artificial neural network and multi-objective optimization using genetic algorithm[J].Chemical Engineering Research&Design,2013,91(5):883-903.
[11]王湛.膜分离技术基础[M].北京:化学化工出版社,2000.
[12]SPIEGLER K S,KEDEM O.Thermodynamics of hyperfiltration(reverse osmosis):Criteria for efficient membranes[J].Desalination,1966,1(4):311-326.
[13]BALLET G T,GZARA L,HAFIANE A,et al.Transport coefficients and cadmium salt rejection in nanofiltration membrane[J].Desalination,2004,167(1):369-376.
[14]MEHIGUENE K,GARBA Y,TAHA S,et al.Influence of operating conditions on the retention of copper and cadmium in aqueous solutions by nanofiltration:Experimental results and modeling[J].Separation&Purification Technology,1999,15(2):181-187.
[15]MURTHY Z V P,CHOUDHARY A,et al.Separation and estimation of nanofiltration membrane transport parameters for cerium and neodymium[J].Rare Metals,2012,31(5):500-506.
[16]黄礼超,李方,付乐乐,等.低浓度苯胺类化合物纳滤分离机理的浓差极化S-K模型验证[J].东华大学学报(自然科学版),2014,40(5):617-623.
[17]WIJMANS J G,BAKER R W.The solution-diffusion model:A review[J].Journal of Membrane Science,1995,107(1-2):1-21.
[18]PAUL D R.Reformulation of the solution-diffusion theory of reverse osmosis[J].Journal of Membrane Science,2004,241(2):371-386.
[19]FIERRO D,BOSCHETTI A.The solution-diffusion with imperfections model as a method to understand organic solvent nanofiltration of multicomponent systems[J].Journal of Membrane Science,2012,413-414(1):91-101.
[20]NAKAO S,KIMURA S.Models of membrane transport phenomena and their applications for ultrafiltration data[J].Journal of Chemical Engineering of Japan,1982,15:200-205.
[21]KEDEM O,KATCHALSKY A.A physical interpretation of the phenomenological coefficients of membrane permeability[J].Journal of General Physiology,1961,45(1):143-179.
[22]王晓琳,中尾真一.低分子量中性溶质体系的纳滤膜的透过特性[J].南京工业大学学报(自科版),1998,20(4):36-40.
[23]张显球,张林生,吕锡武.纳滤分离中性溶质的截留分子量参数细孔模型[J].化工学报,2007(8):2 033-2 037.
[24]ANDERSON J L,QUINN J A.Restricted transport in small pores:A model for steric exclusion and hindered particle motion[J].Biophysical Journal,1974,14(2):130-150.
[25]MORRISON F A,OSTERLE J F.Electrokinetic energy conversion in ultrafine capillaries[J].The Journal of Chemical Physics,1965,43(6):2 111-2 115.
[26]SHANG W J,WANG X L,YU Y X.Theoretical calculation on the membrane potential of charged porous membranes in 1-1,1-2,2-1and 2-2electrolyte solutions[J].Journal of Membrane Science,2006,285(1-2):362-375.
[27]WANG X L,TSURU T,NAKAO S,et al.The electrostatic and steric-hindrance model for the transport of charged solutes through nanofiltration membranes[J].Journal of Membrane Science,1997,135:19-32.
[28]方彦彦,涂丛慧,王晓琳.静电位阻模型在纳滤膜跨膜电位解析中的应用[J].高等学校化学学报,2010,31(4):782-789.
[29]BOWEN W R,MUKHTAR H.Characterisation and prediction of separation performance of nanofiltration membranes[J].Journal of Membrane Science,1996,187(2):263-274.
[30]刘久清,周康根,张启修,等.纳滤法处理APT结晶母液的研究[J].矿产综合利用,2002(3):17-21.
[31]VEZZANI D,BANDINI S.Donnan equilibrium and dielectric exclusion for characterization of nanofiltration membranes[J].Desalination,2002,149(1):477-483.
[32]王钊,徐一涵,贾玉玺,等.荷电纳滤膜的DSPM传质模型及其发展[J].功能材料,2013,44(22):3 230-3 234.
[33]YAROSHCHUK A E.Dielectric exclusion of ions from membranes[J].Advances in Colloid and Interface Science,2000,85(2):193-230.
[34]SZYMCZYK A,FIEVET P.Investigating transport properties of nanofiltration membranes by means of a steric,electric and dielectric exclusion model[J].Journal of Membrane Science,2005,252(1-2):77-88.
[35]ESCODA A,LANTERI Y,FIEVETP,et al.Determining the dielectric constant inside pores of nanofiltration membranes from membrane potential measurements[J].Langmuir:the ACS Journal of Surfaces and Colloids,2010,26(18):14 628-14 635.
[36]BOURANENE S,FIEVET P,SZYMCZYK A.Investigating nanofiltration of multi-ionic solutions using the steric,electric and dielectric exclusion model[J].Chemical Engineering Science,2010,64(17):3 789-3 798.
[37]LANTERI Y,FIEVET P,SZYMCZYK A.Evaluation of the steric,electric,and dielectric exclusion model on the basis of salt rejection rate and membrane potential measurements[J].Journal of Colloid&Interface Science,2009,331(1):148-155.
[38]宋卫臣.高分子超/纳滤膜分离过程的数值模拟[D].山东:山东大学,2012.
[39]GOZALVEZ-ZAFRILLA J M,SANTAFE-MOROS A.Im-plementation of the DSPM model using a commercial finite element system[J].Desalination,2010,250(2):840-844.
[40]王钊,贾玉玺,徐一涵,等.高分子膜错流纳滤的多场耦合有限元分析[J].化学学报,2013,71(11):1 511-1 515.
[41]BOCQUET L,CHARLAIX E.Nanofluidics,from bulk to interfaces[J].Chemical Society Reviews,2009,39(3):1 073-1 095.
[42]THOMAS J A,MCGAUGHEY A J H,KUTER-ARNEBACK O.Pressure-driven water flow through carbon nanotubes:Insights from molecular dynamics simulation[J].International Journal of Thermal Sciences,2010,49(2):281-289.
[43]NICHOLLS W D,BORG M K,LOCKERBY D A,et al.Water transport through(7,7)carbon nanotubes of different lengths using molecular dynamics[J].Microfluidics&Nanofluidics,2012,12(1-4):257-264.
[44]LI Z,QIU Y,LI K.Optimal design of graphene nanopores for seawater desalination[J].Journal of Chemical Physics,2018,148(1):014 703.
[45]许辉.膜及水溶液内扩散过程的分子模拟研究[D].山东:中国海洋大学,2008.
[46]杨林.甲醇溶剂中纳滤传递机理的研究[D].北京:北京化工大学,2005.
[47]熊日华,王世昌.神经网络在膜技术中的应用[J].膜科学与技术,2003,23(6):44-48.
[48]BOWEN W R,JONES M G,WELFOOT J S,et al.Predicting salt rejections at nanofiltration membranes using artificial neural networks[J].Desalination,2000,129(2):147-162.
[49]SHETTY G R.Predicting membrane fouling during municipal drinking water nanofiltration using artificial neural networks[J].Journal of Membrane Science,2003,217(1-2):69-86.
[50]MOUSAVI M,AVAMI A.Modeling and simulation of water softening by nanofiltration using artificial neural network[J].Iranian Journal of Chemistry&Chemical Engineering,2006,25(4):37-45.
[51]DOGAN E.Development of artificial neural network for prediction of salt recovery by nanofiltration from textile industry wastewaters[J].Desalination&Water Treatment,2012,50(1-3):317-328.
[52]杨青,张林生.基于BP神经网络的吡虫啉农药废水纳滤分离模型[J].安全与环境工程,2010,17(1):22-26.
[53]AL-ZOUBI H.Rejection and modelling of sulphate and potassium salts by nanofiltration membranes:Neural network and Spiegler-Kedem model[J].Desalination,2007,206(1):42-60
[54]李鑫玮,祝万鹏,朱安娜.纳滤膜对水中酚类物质的截留率及其定量结构关系的研究[J].膜科学与技术,2006,26(4):14-19.
[55]SALEHI F,RAZAVI S M A.Modeling of waste brine nanofiltration process using artificial neural network and adaptive neuro-fuzzy inference system[J].Desalination&Water Treatment,2015,57(31):1-10.
[56]侯立安,尹洪波.计算流体力学在纳滤膜分离技术研究中应用[J].膜科学与技术,2011,31(3):5-10.
[57]魏源送,王健行,岳增刚,等.纳滤膜技术在废水深度处理中的膜污染及控制研究进展[J].环境科学学报,2017,37(1):1-10.
[2]王晓琳.纳滤膜分离机理及其应用研究进展[J].化学通报,2001,64(2):86-90.
[3]黄万抚,李英杰,李新冬.纳滤技术在矿冶领域的应用研究进展[J].工业水处理,2016,36(11):1-4.
[4]张秀峰,谭秀民,张利珍.纳滤膜分离技术应用于盐湖卤水提锂的研究进展[J].无机盐工业,2017,49(1):1-5.
[5]温现明.荷电膜在盐湖卤水中的传递性质研究[D].北京:中国科学院研究生院(青海盐湖研究所),2006.
[6]ABBAS A,AL-BASTAKI N.Modeling of an RO water desalination unit using neural networks[J].Chemical Engineering Journal,2005,114(1-3):139-143.
[7]李朋,王剑,江爱朋,等.反渗透海水淡化故障诊断专家系统的开发[J].科技通报,2011,27(5):726-731.
[8]童赟.水处理领域中智能控制的应用与研究[D].天津:天津大学,2012.
[9]SADRZADEH M,MOHAMMADI T,IVAKPOUR J,et al.Separation of lead ions from wastewater using electrodialysis:Comparing mathematical and neural network modeling[J].Chemical Engineering Journal,2008,144(3):431-441.
[10]SOLEIMANI R,SHOUSHTARI N A,MIRZA B,et al.Experimental investigation,modeling and optimization of membrane separation using artificial neural network and multi-objective optimization using genetic algorithm[J].Chemical Engineering Research&Design,2013,91(5):883-903.
[11]王湛.膜分离技术基础[M].北京:化学化工出版社,2000.
[12]SPIEGLER K S,KEDEM O.Thermodynamics of hyperfiltration(reverse osmosis):Criteria for efficient membranes[J].Desalination,1966,1(4):311-326.
[13]BALLET G T,GZARA L,HAFIANE A,et al.Transport coefficients and cadmium salt rejection in nanofiltration membrane[J].Desalination,2004,167(1):369-376.
[14]MEHIGUENE K,GARBA Y,TAHA S,et al.Influence of operating conditions on the retention of copper and cadmium in aqueous solutions by nanofiltration:Experimental results and modeling[J].Separation&Purification Technology,1999,15(2):181-187.
[15]MURTHY Z V P,CHOUDHARY A,et al.Separation and estimation of nanofiltration membrane transport parameters for cerium and neodymium[J].Rare Metals,2012,31(5):500-506.
[16]黄礼超,李方,付乐乐,等.低浓度苯胺类化合物纳滤分离机理的浓差极化S-K模型验证[J].东华大学学报(自然科学版),2014,40(5):617-623.
[17]WIJMANS J G,BAKER R W.The solution-diffusion model:A review[J].Journal of Membrane Science,1995,107(1-2):1-21.
[18]PAUL D R.Reformulation of the solution-diffusion theory of reverse osmosis[J].Journal of Membrane Science,2004,241(2):371-386.
[19]FIERRO D,BOSCHETTI A.The solution-diffusion with imperfections model as a method to understand organic solvent nanofiltration of multicomponent systems[J].Journal of Membrane Science,2012,413-414(1):91-101.
[20]NAKAO S,KIMURA S.Models of membrane transport phenomena and their applications for ultrafiltration data[J].Journal of Chemical Engineering of Japan,1982,15:200-205.
[21]KEDEM O,KATCHALSKY A.A physical interpretation of the phenomenological coefficients of membrane permeability[J].Journal of General Physiology,1961,45(1):143-179.
[22]王晓琳,中尾真一.低分子量中性溶质体系的纳滤膜的透过特性[J].南京工业大学学报(自科版),1998,20(4):36-40.
[23]张显球,张林生,吕锡武.纳滤分离中性溶质的截留分子量参数细孔模型[J].化工学报,2007(8):2 033-2 037.
[24]ANDERSON J L,QUINN J A.Restricted transport in small pores:A model for steric exclusion and hindered particle motion[J].Biophysical Journal,1974,14(2):130-150.
[25]MORRISON F A,OSTERLE J F.Electrokinetic energy conversion in ultrafine capillaries[J].The Journal of Chemical Physics,1965,43(6):2 111-2 115.
[26]SHANG W J,WANG X L,YU Y X.Theoretical calculation on the membrane potential of charged porous membranes in 1-1,1-2,2-1and 2-2electrolyte solutions[J].Journal of Membrane Science,2006,285(1-2):362-375.
[27]WANG X L,TSURU T,NAKAO S,et al.The electrostatic and steric-hindrance model for the transport of charged solutes through nanofiltration membranes[J].Journal of Membrane Science,1997,135:19-32.
[28]方彦彦,涂丛慧,王晓琳.静电位阻模型在纳滤膜跨膜电位解析中的应用[J].高等学校化学学报,2010,31(4):782-789.
[29]BOWEN W R,MUKHTAR H.Characterisation and prediction of separation performance of nanofiltration membranes[J].Journal of Membrane Science,1996,187(2):263-274.
[30]刘久清,周康根,张启修,等.纳滤法处理APT结晶母液的研究[J].矿产综合利用,2002(3):17-21.
[31]VEZZANI D,BANDINI S.Donnan equilibrium and dielectric exclusion for characterization of nanofiltration membranes[J].Desalination,2002,149(1):477-483.
[32]王钊,徐一涵,贾玉玺,等.荷电纳滤膜的DSPM传质模型及其发展[J].功能材料,2013,44(22):3 230-3 234.
[33]YAROSHCHUK A E.Dielectric exclusion of ions from membranes[J].Advances in Colloid and Interface Science,2000,85(2):193-230.
[34]SZYMCZYK A,FIEVET P.Investigating transport properties of nanofiltration membranes by means of a steric,electric and dielectric exclusion model[J].Journal of Membrane Science,2005,252(1-2):77-88.
[35]ESCODA A,LANTERI Y,FIEVETP,et al.Determining the dielectric constant inside pores of nanofiltration membranes from membrane potential measurements[J].Langmuir:the ACS Journal of Surfaces and Colloids,2010,26(18):14 628-14 635.
[36]BOURANENE S,FIEVET P,SZYMCZYK A.Investigating nanofiltration of multi-ionic solutions using the steric,electric and dielectric exclusion model[J].Chemical Engineering Science,2010,64(17):3 789-3 798.
[37]LANTERI Y,FIEVET P,SZYMCZYK A.Evaluation of the steric,electric,and dielectric exclusion model on the basis of salt rejection rate and membrane potential measurements[J].Journal of Colloid&Interface Science,2009,331(1):148-155.
[38]宋卫臣.高分子超/纳滤膜分离过程的数值模拟[D].山东:山东大学,2012.
[39]GOZALVEZ-ZAFRILLA J M,SANTAFE-MOROS A.Im-plementation of the DSPM model using a commercial finite element system[J].Desalination,2010,250(2):840-844.
[40]王钊,贾玉玺,徐一涵,等.高分子膜错流纳滤的多场耦合有限元分析[J].化学学报,2013,71(11):1 511-1 515.
[41]BOCQUET L,CHARLAIX E.Nanofluidics,from bulk to interfaces[J].Chemical Society Reviews,2009,39(3):1 073-1 095.
[42]THOMAS J A,MCGAUGHEY A J H,KUTER-ARNEBACK O.Pressure-driven water flow through carbon nanotubes:Insights from molecular dynamics simulation[J].International Journal of Thermal Sciences,2010,49(2):281-289.
[43]NICHOLLS W D,BORG M K,LOCKERBY D A,et al.Water transport through(7,7)carbon nanotubes of different lengths using molecular dynamics[J].Microfluidics&Nanofluidics,2012,12(1-4):257-264.
[44]LI Z,QIU Y,LI K.Optimal design of graphene nanopores for seawater desalination[J].Journal of Chemical Physics,2018,148(1):014 703.
[45]许辉.膜及水溶液内扩散过程的分子模拟研究[D].山东:中国海洋大学,2008.
[46]杨林.甲醇溶剂中纳滤传递机理的研究[D].北京:北京化工大学,2005.
[47]熊日华,王世昌.神经网络在膜技术中的应用[J].膜科学与技术,2003,23(6):44-48.
[48]BOWEN W R,JONES M G,WELFOOT J S,et al.Predicting salt rejections at nanofiltration membranes using artificial neural networks[J].Desalination,2000,129(2):147-162.
[49]SHETTY G R.Predicting membrane fouling during municipal drinking water nanofiltration using artificial neural networks[J].Journal of Membrane Science,2003,217(1-2):69-86.
[50]MOUSAVI M,AVAMI A.Modeling and simulation of water softening by nanofiltration using artificial neural network[J].Iranian Journal of Chemistry&Chemical Engineering,2006,25(4):37-45.
[51]DOGAN E.Development of artificial neural network for prediction of salt recovery by nanofiltration from textile industry wastewaters[J].Desalination&Water Treatment,2012,50(1-3):317-328.
[52]杨青,张林生.基于BP神经网络的吡虫啉农药废水纳滤分离模型[J].安全与环境工程,2010,17(1):22-26.
[53]AL-ZOUBI H.Rejection and modelling of sulphate and potassium salts by nanofiltration membranes:Neural network and Spiegler-Kedem model[J].Desalination,2007,206(1):42-60
[54]李鑫玮,祝万鹏,朱安娜.纳滤膜对水中酚类物质的截留率及其定量结构关系的研究[J].膜科学与技术,2006,26(4):14-19.
[55]SALEHI F,RAZAVI S M A.Modeling of waste brine nanofiltration process using artificial neural network and adaptive neuro-fuzzy inference system[J].Desalination&Water Treatment,2015,57(31):1-10.
[56]侯立安,尹洪波.计算流体力学在纳滤膜分离技术研究中应用[J].膜科学与技术,2011,31(3):5-10.
[57]魏源送,王健行,岳增刚,等.纳滤膜技术在废水深度处理中的膜污染及控制研究进展[J].环境科学学报,2017,37(1):1-10.
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