Optimal Operation of Batch Membrane Processes

  • Radoslav Paulen
  • Miroslav Fikar

Part of the Advances in Industrial Control book series (AIC)

Table of contents

  1. Front Matter
    Pages i-xxv
  2. Radoslav Paulen, Miroslav Fikar
    Pages 1-25
  3. Radoslav Paulen, Miroslav Fikar
    Pages 27-35
  4. Radoslav Paulen, Miroslav Fikar
    Pages 37-56
  5. Radoslav Paulen, Miroslav Fikar
    Pages 57-82
  6. Radoslav Paulen, Miroslav Fikar
    Pages 83-107
  7. Radoslav Paulen, Miroslav Fikar
    Pages 109-128
  8. Radoslav Paulen, Miroslav Fikar
    Pages 129-141
  9. Radoslav Paulen, Miroslav Fikar
    Pages 143-151
  10. Radoslav Paulen, Miroslav Fikar
    Pages 153-155
  11. Back Matter
    Pages 157-158

About this book


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.


Diafiltration Membrane Processes Optimal Control Optimal Operation Pontryagin’s Minimum Principle

Authors and affiliations

  • Radoslav Paulen
    • 1
  • Miroslav Fikar
    • 2
  1. 1.Department of Biochemical and Chemical EngineeringTechnische Universität DortmundDortmundGermany
  2. 2.Institute of Information Engineering, Automation and MechanicsSlovak University of Technology in BratislavaBratislavaSlovakia

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing Switzerland 2016
  • Publisher Name Springer, Cham
  • eBook Packages Engineering Engineering (R0)
  • Print ISBN 978-3-319-20474-1
  • Online ISBN 978-3-319-20475-8
  • Series Print ISSN 1430-9491
  • Series Online ISSN 2193-1577
  • Buy this book on publisher's site
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