Modeling and optimal operation of batch closed-loop diafiltration processes

Abstract The paper derives mathematical model and optimal operation of batch diafiltration processes with partial recirculation of retentate, i.e. batch closed-loop membrane processes. A generalized mathematical model of the process is developed in the form of a set of non-linear ordinary differential and algebraic equations. Two process variables are used as manipulated and optimized degrees of freedom: recirculation rate and diluant addition rate. Optimal operation aims to minimize a weighted combination of processing time, power consumption, and diluant consumption. A theoretical analysis of the process is combined with numerical optimization techniques. Based on selected case studies, conclusions are drawn on economics of the process operation to identify when the process design with recirculation adds substantial benefits compared to the classical (open-loop) design without recirculation. Simulation studies suggest that minimum time operation does not require recirculation loop. On the other hand, minimum power operation consumes about 70–95% less power in closed-loop design when compared to open-loop setup.

[1]  P. Ouyang,et al.  The possibility of separating saccharides from a NaCl solution by using nanofiltration in diafiltration mode , 2002 .

[2]  Michel Y. Jaffrin,et al.  Optimization of ultrafiltration and diafiltration processes for albumin production , 1994 .

[3]  L. Biegler.  An overview of simultaneous strategies for dynamic optimization , 2007 .

[4]  Béatrice Balannec,et al.  Comparative study of different nanofiltration and reverse osmosis membranes for dairy effluent treatment by dead-end filtration , 2005 .

[5]  Radoslav Paulen,et al.  Optimal Operation of Batch Membrane Processes , 2015 .

[6]  Marco Discacciati,et al.  Modeling of batch and semi-batch membrane filtration processes , 2009 .

[7]  Munir Cheryan,et al.  Ultrafiltration and Microfiltration Handbook , 1998 .

[8]  A. Mohammad,et al.  Analysis of the Salt Retention of Nanofiltration Membranes Using the Donnan–Steric Partitioning Pore Model , 1999 .

[9]  L. S. Pontryagin,et al.  Mathematical Theory of Optimal Processes , 1962 .

[10]  Burhanettin Farizoğlu,et al.  The investigation of dairy industry wastewater treatment in a biological high performance membrane system , 2011 .

[11]  V. Santos,et al.  Purifi cation of oligosaccharides obtained from Pinus pinaster hemicelluloses by diafi ltration , 2011 .

[12]  Eva Balsa-Canto,et al.  Dynamic optimization of chemical and biochemical processes using restricted second order information , 2001 .

[13]  A. Tamime.  Membrane processing: dairy and beverage applications. , 2013 .

[14]  Moritz Diehl,et al.  ACADO toolkit—An open‐source framework for automatic control and dynamic optimization , 2011 .

[15]  K. Skidmore,et al.  Clearance of extractables and leachables from single‐use technologies via ultrafiltration/diafiltration operations , 2016, Biotechnology progress.

[16]  Z. Zhong,et al.  Separation of ammonium salts from coking wastewater with nanofiltration combined with diafiltration , 2011 .

[17]  M. Bilad,et al.  Coupled cultivation and pre-harvesting of microalgae in a membrane photobioreactor (MPBR). , 2014, Bioresource technology.

[18]  R. Bhave.  Cross-Flow Filtration , 1996 .

[19]  Nandakishore Rajagopalan,et al.  PROCESS OPTIMIZATION IN ULTRAFILTRATION: FLUX-TIME CONSIDERATIONS IN THE PURIFICATION OF MACROMOLECULES , 1991 .

[20]  G. Foley.  Water usage in variable volume diafiltration: comparison with ultrafiltration and constant volume diafiltration , 2006 .

[21]  M. Vincent-Vela,et al.  Nanofiltration of sweet whey and prediction of lactose retention as a function of permeate flux using the Kedem–Spiegler and Donnan Steric Partioning models , 2007 .

[22]  Alois Jungbauer,et al.  Continuous downstream processing of biopharmaceuticals. , 2013, Trends in biotechnology.

[23]  M. Jornitz.  Filtration and Purification in the Biopharmaceutical Industry , 2007 .

[24]  Henry C. Vogel,et al.  Fermentation and biochemical engineering handbook , 1983 .

[25]  Alan S. Michaels,et al.  SOLUTE POLARIZATION AND CAKE FORMATION IN MEMBRANE ULTRAFILTRATION: CAUSES, CONSEQUENCES, AND CONTROL TECHNIQUES , 1970 .

[26]  Derya Y. Koseoglu-Imer,et al.  Pilot-scale evaluation of nanofiltration and reverse osmosis for process reuse of segregated textile dyewash wastewater , 2012 .

[27]  Jianquan Luo,et al.  Refining sugarcane juice by an integrated membrane process: Filtration behavior of polymeric membrane at high temperature , 2016 .

[28]  Zoltán Kovács,et al.  Optimal feeding strategy of diafiltration buffer in batch membrane processes , 2012 .

[29]  K. S. Spiegler,et al.  Thermodynamics of hyperfiltration (reverse osmosis): criteria for efficient membranes , 1966 .

[30]  Kok Lay Teo,et al.  Control parametrization: A unified approach to optimal control problems with general constraints , 1988, Autom..

[31]  Marcel Mulder,et al.  Basic Principles of Membrane Technology , 1991 .

[32]  Miroslav Fikar,et al.  Modelling and optimal control of membrane process with partial recirculation , 2015, 2015 20th International Conference on Process Control (PC).

[33]  Zoltán Kovács,et al.  Process optimization of diafiltration with time-dependent water adding for albumin production , 2011 .

[34]  Kamalesh K. Sirkar,et al.  Nanofiltration-based diafiltration process for solvent exchange in pharmaceutical manufacturing , 2003 .

[35]  M. Fikar,et al.  Optimal balancing of temporal and buffer costs for ultrafiltration/diafiltration processes under limiting flux conditions , 2013 .

[36]  Miroslav Fikar,et al.  Economically optimal batch diafiltration via analytical multi-objective optimal control , 2015 .

[37]  H. Lutz,et al.  An alternate diafiltration strategy to mitigate protein precipitation for low solubility proteins , 2014, Biotechnology progress.

[38]  Hatem Fessi,et al.  Purification of nanoparticle suspensions by a concentration/diafiltration process , 2004 .

[39]  Andrew L. Zydney,et al.  Microfiltration and Ultrafiltration: Principles and Applications , 1996 .