Abstract
A brief review of the application of non-equilibrium thermodynamics (NET) is presented and advantages of some results of NET for the analysis of membrane processes are discussed. The case study of evaporation through a membrane (pervaporation) is considered on the basis of simplest approach in the framework of linear NET. A few examples are presented for membranes on the basis of polymers of heteroaromatic structures (polyheteroarylenes).
Graphical abstract
Similar content being viewed by others
References
Prigogine I (1961) Introduction to thermodynamics of irreversible processes, 2nd edn. Interscience, London
Mulder J (1996) Basic principles of membrane technology, 2nd edn. Kluwer Academic Publishers, Dordrecht
Baker RW (2012) Membrane technology and applications, 3rd edn. Wiley, Chichester
Lipnizki F, Trägårdh G (2001) Sep Purif Rev 30:49
Izák P, Bartovská L, Friess K, Šípek M, Uchytil P (2003) Polymer 44:2679
Feng X, Huang RYM (1997) Ind Eng Chem Res 36:1048
Baranowski B (1991) J Membr Sci 57:119
Hwang ST (2004) Am Inst Chem Eng J 50:862
Edelen DGB (1974) Int J Eng Sci 12:397
Villaluenga JPG, Kjelstrup S (2012) J Non-Equilib Thermodyn 37:353
Toikka AM, Penkova AV, Markelov DA (2014) Int J Heat Mass Transf 72:423
Toikka A, Naumkin P, Penkova A (2015) Chem Eng Res Des 104:669
Kovács Z, Discacciati M, Samhaber W (2009) J Membr Sci 332:38
Gupta VK, Hwang S-T, Krantz WB, Greenberg AR (2007) Desalination 208:1
Fang Y, Bian L, Wang X (2013) J Membr Sci 437:72
Tanaka Y (2006) J Membr Sci 281:517
Wang L, Min J (2011) J Membr Sci 378:462
Moody TP, Shepard HK (2004) Biophys Chem 108:51
Ghoreyshi AA, Farhadpour FA, Soltanieh M, Abdelghani M (2003) J Membr Sci 211:215
Kuhn J, Stemmer R, Kapteijn F, Kjelstrup S, Gross J (2009) J Membr Sci 330:388
Alklaibi AM, Lior N (2004) Desalination 171:111
Peppin SSL, Elliott JAW (2001) Adv Coll Interface Sci 92:1
Chapman PD, Oliveira T, Livingston AG, Li K (2008) J Membr Sci 318:5
Huang HJ, Ramaswamy S, Tschirner UW, Ramarao BV (2008) Sep Purif Technol 62:1
Smitha B, Suhanya D, Sridhar S, Ramakrishna M (2004) J Membr Sci 241:1
Kujawa J, Cerneaux S, Kujawski W (2015) J Membr Sci 474:11
Koch K, Górak A (2014) Chem Eng Sci 115:95
Lutze P, Gorak A (2013) Chem Eng Res Des 91:1978
Kreis P, Gorak A (2006) Chem Eng Res Des 84:595
Roth T, Kreis P, Gorak A (2013) Chem Eng Res Des 91:1171
Lipnizki F, Field RW, Ten P-K (1999) J Membr Sci 153:183
Matsui S, Paul DR (2004) J Membr Sci 235:25
Zeng C, Li J, Li P, Chen T, Lin Y, Wang D, Chen C (2006) Chem Eng Sci 61:1892
Bettens B, Degrève J, Van der Bruggen B, Vandecasteele C (2007) Sep Sci Technol 42:1
Schaetzel P, Vauclair C, Nguyen QT, Bouzerar R (2004) J Membr Sci 244:117
Mujiburohman M, Mahdi KA, Elkamel A (2011) J Membr Sci 381:1
Jeck S, Scharfer P, Kind M (2012) J Membr Sci 417–418:154
Heintz A, Stephan WJ (1994) Membr Sci 89:143
Heintz A, Stephan WJ (1994) Membr Sci 89:153
Ghosh UK, Pradhan NC, Adhikari B (2006) J Membr Sci 272:93
Schaetzel P, Bendjama Z, Vauclair C, Nguyen QT (2001) J Membr Sci 191:95
Farajnezhad A, Afshar OA, Khansary MA, Shirazian SJ (2016) Non-Equilib Thermodyn 41:215
Nguyen QT, Clement R (1991) J Membr Sci 55:1
Yamasaki A, Iwatsubo T, Masuoka T, Mizoguchi K (1994) J Membr Sci 89:111
Toikka AM, Aksenova EL, Kuznetsov YuP (2001) Russ J Appl Chem 74:933
Huang Y-Sh, Sundmacher K, Qia Z, Schlunder E-U (2004) Chem Eng Sci 59:2863
Huang Y-Sh, Schlunder E-U, Sundmacher K (2005) Catal Today 104:360
Kedem O (1989) J Membr Sci 47:277
Mulder MHV, Franken ACM, Smolders CA (1985) J Membr Sci 23:41
Simon AM, Doran P, Paterson RJ (1996) Membr Sci 109:231
Radovanovic P, Thiel SW, Hwang S-T (1990) J Membr Sci 48:55
Molina C (1997) J Membr Sci 132:119
Pulyalina AYu, Polotskaya GA, Toikka AM (2016) Russ Chem Rev 85:81
Kondepudi D, Prigogine I (2015) Modern thermodynamics: from heat engines to dissipative structures, 2nd edn. Wiley, Chichester
Valentinyi N, Csefalvay E, Mizsey P (2013) Chem Eng Res Des 91:174
Zharov VT, Serafimov LA (1975) Physicochemical fundamentals of simple distillation and rectification. Khimia, Leningrad (in Russian)
Doherty MF, Perkins JD (1978) Chem Eng Sci 33:281
Tanihara N, Umeo N, Kawabata T, Tanaka K, Kita H, Okamoto K (1995) J Membr Sci 104:181
Schmeling N, Konietzny R, Sieffert D, Rölling P, Staudt C (2010) Beilstein J Org Chem 6:789
Yang L, Kang Y, Wang Y, Xu L, Kita H, Okamoto K (2005) J Membr Sci 249:33
VLE—Calc (Calculator of vapor-liquid and liquid-liquid phase equilibria). http://vle-calc.com/index.html. Accessed 15 Feb 2017
Acknowledgements
This work was supported by the Russian Science Foundation (Grant 16-13-10164). Author is grateful to Natalia Avagimova for the help with calculation.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Toikka, A. On non-equilibrium thermodynamics approach for the analysis of membrane processes: a case study of pervaporation. Monatsh Chem 149, 467–473 (2018). https://doi.org/10.1007/s00706-017-2104-8
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00706-017-2104-8