Dec 14, 2019   9:31 p.m. Branislava, Bronislava
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prof. Ing. Miroslav Fikar, DrSc.
Identification number: 3374
University e-mail: miroslav.fikar [at]
Rektor - Vedenie STU (REKP REK)
Profesor DrSc. - Department of Information Engineering and Process Control (IIEAM FCFT)
Director - Department of Information Engineering and Process Control (IIEAM FCFT)
Chancellor - Slovak university of technology in Bratislava
External colleague - Institute of Applied Informatics, Automation and Mechatronics (MTF)

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Basic information

Basic information about a final thesis

Type of thesis: Dissertation thesis
Thesis title:Mathematical Modeling and Optimal Operation of Membrane Processes
Written by (author): Ing. Ayush Sharma
Department: Institute of Information Engineering, Automation and Mathematics (FCFT)
Thesis supervisor: prof. Ing. Miroslav Fikar, DrSc.
Opponent 1:prof. Ing. Alena Kozáková, PhD.
Opponent 2:prof. Jan van Impe
Final thesis progress:Final thesis is submitted

Additional information

Additional information about the final thesis follows. Click on the language link to display the information in the desired language.

Language of final thesis:English

Slovak        English

Title of the thesis:Mathematical Modeling and Optimal Operation of Membrane Processes
Summary:The objective of this thesis is to operate membrane processes optimally in theory followed by in experiments. The research work comprises mathematical modeling, simulation, optimization, and implementation of optimal operation of batch membrane diafiltration processes. The purpose of membrane separation is to increase the concentration of the product (macro- solute) and decrease the concentration of impurities (micro-solute). A combination of semi-permeable membrane and diluant addition (diafiltration), is used to serve the purpose. The optimal operation implemented in this research is model based, and hence the modeling of membrane processes forms the first part of this work. Modeling of different configurations of membrane processes has been done, with some new model derivations to help the research field. The batch open-loop and closed-loop diafiltration configurations are studied. The modeling section also includes dynamically fitting the existing models to the experimental data, to obtain the optimal parameter values. The modeling is followed by the simulation and implementation of optimal operation. Implemen- tation involves performing the optimal operation on a laboratory scale membrane separation plant. The aim of optimization is to find analytically the addition rate of solvent (diluant) into the feed tank in order to reach the final concentrations whilst minimizing costs. The objectives to be minimized are processing time, or diluant consumption, or both for batch open-loop diafiltration processes. Pontryagin’s minimum principle is utilized to attain the analytical solution for optimal operation. The optimal operation derivation is verified experimentally on a plant using nanofiltration form of membrane separation. Case studies are implemented showing the optimal operation and its comparison with the current or traditional industrial strategies of membrane separation. In case of batch closed-loop diafiltration processes the objectives to be minimized are time, or diluant consumption, or power, or a combination of them. The numerical methods of orthogonal col- locations, and control vector parameterization are applied to obtain the optimal operation strategies. Case studies are studied in simulation. The inferences are established regarding the advantages and disadvantages of batch closed-loop over open-loop configuration.
Key words:Modeling, Optimal operation, Nanofiltration, Diafiltration, Pontryagin’s minimum principle, Membrane separation, Batch implementation

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