Optimal operation of batch membrane processes [electronic resource] / Radoslav Paulen, Miroslav Fikar.
Paulen, Radoslav, author.; Fikar, Miroslav, author.
2016
TP159.M4
Available Online

Linked e-resources

Linked Resource Online Access
Concurrent users Unlimited
Authorized users Authorized users
Document Delivery Supplied Can lend chapters, not whole ebooks

Details

Title Optimal operation of batch membrane processes [electronic resource] / Radoslav Paulen, Miroslav Fikar.
Author Paulen, Radoslav, author.
ISBN 9783319204758 (electronic book)
3319204750 (electronic book)
9783319204741
DOI https://doi.org/10.1007/978-3-319-20475-8
Published Cham : Springer, [2016]
Language English
Description 1 online resource.
Item Number 10.1007/978-3-319-20475-8 doi
Call Number TP159.M4
Dewey Decimal Classification 660/.28424
Summary This study concentrates on a general optimization of a particular class of membrane separation processes: those involving batch diafiltration. Existing practices are explained and operational improvements based on optimal control theory are suggested. The first part of the book introduces the theory of membrane processes, optimal control and dynamic optimization. Separation problems are defined and mathematical models of batch membrane processes derived. The control theory focuses on problems of dynamic optimization from a chemical-engineering point of view. Analytical and numerical methods that can be exploited to treat problems of optimal control for membrane processes are described. The second part of the text builds on this theoretical basis to establish solutions for membrane models of increasing complexity. Each chapter starts with a derivation of optimal operation and continues with case studies exemplifying various aspects of the control problems under consideration. The authors work their way from the limiting flux model through increasingly generalized models to propose a simple numerical approach to the general case of optimal operation for batch diafiltration processes. Researchers interested in the modelling of batch processes or in the potential industrial applications of optimal control theory will find this monograph a valuable source of inspiration, instruction and ideas.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Added Author Fikar, Miroslav, author.
Series Advances in industrial control.
Available in Other Form Optimal Operation of Batch Membrane Processes.
Linked Resources Online Access
Record Appears in Online Resources > Ebooks
All Resources
Series Editors' Foreword; Preface; Acknowledgments; Contents; List of Figures; List of Tables; Nomenclature; 1 Membrane Processes; 1.1 Membrane Separation ; 1.1.1 Pore Sizes ; 1.1.2 Operation Modes ; 1.1.3 Modules; 1.1.4 Configurations ; 1.1.5 Fouling of Membranes ; 1.2 Mathematical Modelling of Membrane Processes; 1.3 Diafiltration Process ; 1.3.1 Process Model; 1.3.2 Fouling Models; 1.3.3 Operational Modes of Diafiltration; 1.3.4 Optimisation of Diafiltration Process; References; 2 Optimal Control Problem; 2.1 Objective Functional; 2.1.1 Typical Optimal Control Tasks; 2.2 Constraints.

2.3 Process Model2.3.1 Linear Time-Invariant System; 2.3.2 Input Affine System; 2.4 Summary of Problem Definition; References; 3 Solution of Optimal Control Problems; 3.1 Necessary Conditions for Optimality; 3.2 Analytical Methods; 3.2.1 Calculus of Variations; 3.2.2 Dynamic Programming; 3.2.3 Pontryagin's Minimum Principle; 3.3 Numerical Methods; 3.3.1 Control Vector Iteration; 3.3.2 Boundary Condition Iteration; 3.3.3 Complete Discretisation ; 3.3.4 Control Vector Parametrisation; 3.3.5 Direct Multiple Shooting; 3.4 Methods for Computing Gradients.

3.5 Feedback Strategies for Optimal ControlReferences; 4 Operation at Limiting Flux; 4.1 Process Model and Definition of Optimisation Problem; 4.1.1 Filtration Modes; 4.1.2 Optimisation Problem; 4.2 Optimal Operation; 4.2.1 Numerical Results; 4.2.2 Theoretical Results; 4.2.3 Discussion; 4.3 Case Studies; 4.3.1 Example 1; 4.3.2 Separation of Pectin from Sugar; 4.3.3 Purification of Soybean Water Extracts; 4.4 Models Derived from Limiting Flux; 4.4.1 Viscosity Dependent Mass Transfer Coefficient; 4.4.2 Osmotic Pressure Model; References; 5 Perfect Rejection of Both Solutes.

5.1 Optimal Operation5.2 Case Studies; 5.2.1 Separation of Lactose from Proteins; 5.2.2 Albumin
Ethanol Separation; References; 6 Perfect Rejection of Macro-Solute; 6.1 Optimal Operation; 6.2 Case Studies; 6.2.1 Dye
Salt Separation; 6.2.2 Radiopaque
Ethylene Glycol Separation; 6.2.3 Sucrose
Sodium Chloride Separation; References; 7 Constant Incomplete Rejection of Solutes; 7.1 Optimal Operation; 7.2 Case Studies; 7.2.1 Extended Limiting Flux Model; 7.2.2 Three Component Separation; References; 8 General Membrane Model; 8.1 Optimal Operation; 8.2 Case Studies.

8.2.1 Radiopaque
Ethylene Glycol Separation8.2.2 Separation of Peptide from Trifluoroacetic Acid; References; 9 Conclusions and Future Research; 9.1 Discussion; 9.2 Conclusions; References; Index.

Browse Subjects

Show more subjects...

Statistics

from
to
Export