Response surface modelling and optimization in pervaporation

Abstract Both the conventional method of experimentation, in which one of factors is varied maintaining the other factors fixed at constant levels and the statistically designed experimental method, in which all factors are varied simultaneously are carried out for organic removal from water by pervaporation. Binary acetonitrile–water mixtures are considered. The effects of the operating parameters on the pervaporation performance of the membrane system have been investigated. The overall mass transfer coefficients have been determined for different conditions of feed temperature and initial organic concentration. In addition, the activation energy associated to the permeation process has been determined and discussed for each feed organic mixture. Statistical experimental design and response surface methodology, RSM, have been applied to optimize the operational conditions of pervaporation process in order to maximize the output responses, which are permeate flux ratio and concentration of organic in permeate. The input variables employed for experimental design were the feed temperature, initial concentration of organic in feed and operational downstream pressure. Based on the design of experiment the quadratic response surface models have been developed to link the output responses with the input variables via mathematical relationships. The constructed response models have been tested using the analysis of variance and the canonical analysis. The obtained optimal point by means of Monte Carlo simulation method and desirability function corresponds to a feed temperature of 57.69 °C, a feed acetonitrile concentration of 6.96 wt% and a downstream pressure of 28.95 kPa. The maximal values of the permeate flux ratio and the concentration of organic in permeate obtained under optimal process conditions have been confirmed experimentally.

[1]  Ahmad Fauzi Ismail,et al.  Development of defect-free asymmetric polysulfone membranes for gas separation using response surface methodology , 2004 .

[2]  S. Ferreira,et al.  Box-Behnken design: an alternative for the optimization of analytical methods. , 2007, Analytica chimica acta.

[3]  Robert Y. M. Huang,et al.  Polymeric membrane pervaporation , 2007 .

[4]  Chao-Ton Su,et al.  Simultaneous optimisation of the broadband tap coupler optical performance based on neural networks and exponential desirability functions , 2004 .

[5]  Xiomar Gómez,et al.  Evaluation and simultaneous optimization of bio-hydrogen production using 32 factorial design and the desirability function☆ , 2007 .

[6]  Seyed Taghi Akhavan Niaki,et al.  Multi-response simulation optimization using genetic algorithm within desirability function framework , 2006, Appl. Math. Comput..

[7]  T. Mohammadi,et al.  Pervaporation of dilute alcoholic mixtures using PDMS membrane , 2005 .

[8]  Wei-Shou Hu,et al.  Pilot Production of Polysulfone Hollow Fiber for Ultrafiltration Using Orthogonal Array Experimentation , 1995 .

[9]  Mohd Yusof Noordin,et al.  Application of response surface methodology in describing the performance of thin film composite membrane , 2006 .

[10]  Douglas C. Montgomery,et al.  Response Surface Methodology: Process and Product Optimization Using Designed Experiments , 1995 .

[11]  Grazyna Zakrzewska-Trznadel,et al.  Response surface modeling and optimization of copper removal from aqua solutions using polymer assisted ultrafiltration , 2007 .

[12]  W. Koros,et al.  Aqueous quenched asymmetric polysulfone hollow fibers prepared by dry/wet phase separation , 1994 .

[13]  J. G. Wijmans,et al.  The solution-diffusion model: a review , 1995 .

[14]  T. Matsuura,et al.  Surface modification of membranes for the separation of volatile organic compounds from water by pervaporation , 2002 .

[15]  M. Sivakumar,et al.  Studies on Box-Behnken design experiments: cellulose acetate-polyurethane ultrafiltration membranes for BSA separation , 1999 .

[16]  M. Khayet,et al.  Radiation grafted poly(ethylene terephthalate)-graft-polystyrene pervaporation membranes for organic/organic separation , 2005 .

[17]  Sundergopal Sridhar,et al.  Separation of organic–organic mixtures by pervaporation—a review , 2004 .

[18]  Preparation and application of dense poly(phenylene oxide) membranes in pervaporation. , 2004, Journal of colloid and interface science.

[19]  John L. Falconer,et al.  Organics/water separation by pervaporation with a zeolite membrane , 1996 .

[20]  Wang Wei,et al.  Optimization of preparation conditions for polydimethylsiloxane (PDMS)/ceramic composite pervaporation membranes using response surface methodology , 2008 .

[21]  Marcus Redhe,et al.  An investigation of structural optimization in crashworthiness design using a stochastic approach , 2004 .

[22]  Mohamed Khayet,et al.  Application of response surface methodology and experimental design in direct contact membrane distillation , 2007 .

[23]  G. Annadurai,et al.  Performance optimization of polysulfone ultrafiltration membranes for riboflavin separation using design experiments , 2000 .

[24]  Ahmad Fauzi Ismail,et al.  Optimization of cellulose acetate hollow fiber reverse osmosis membrane production using Taguchi method , 2002 .

[25]  Shankar Chakraborty,et al.  Concurrent optimisation of a computer vision system’s multiple responses , 2006 .

[26]  Mohamed Khayet,et al.  Pervaporation and vacuum membrane distillation processes: Modeling and experiments , 2004 .

[27]  S. Ray,et al.  Effect of copolymer type and composition on separation characteristics of pervaporation membranes—A case study with separation of acetone–water mixtures , 2006 .

[28]  S. B. Sawant,et al.  Development of new synthetic membranes for separation of benzene-cyclohexane mixtures by pervaporation: A solubility parameter approach , 1997 .

[29]  A. Pasamontes,et al.  Fractional factorial design and simplex algorithm for optimizing sequential injection analysis (SIA) and second order calibration , 2006 .

[30]  Ming Zhou,et al.  Methanol removal from organic mixtures by pervaporation using polypyrrole membranes , 1996 .

[31]  B. Tang,et al.  Pervaporation of organic liquid-water mixtures through substituted polyacetylene membranes , 1990 .

[32]  Bao-ku Zhu,et al.  P(VDF-co-HFP) membrane for recovery of aroma compounds from aqueous solutions by pervaporation - I. Ethyl acetate/water system , 2005 .