Basic Equations of the Mass Transport Through a Membrane Layer

Basic Equations of the Mass Transport Through a Membrane Layer

Author: Endre Nagy

Publisher: Elsevier

Published: 2012

Total Pages: 342

ISBN-13: 0124160255

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With a detailed analysis of the mass transport through membrane layers and its effect on different separation processes, this book provides a comprehensive look at the theoretical and practical aspects of membrane transport properties and functions. Basic equations for every membrane are provided to predict the mass transfer rate, the concentration distribution, the convective velocity, the separation efficiency, and the effect of chemical or biochemical reaction taking into account the heterogeneity of the membrane layer to help better understand the mechanisms of the separation processes. The reader will be able to describe membrane separation processes and the membrane reactors as well as choose the most suitable membrane structure for separation and for membrane reactor. Containing detailed discussion of the latest results in transport processes and separation processes, this book is essential for chemistry students and practitioners of chemical engineering and process engineering. Detailed survey of the theoretical and practical aspects of every membrane process with specific equations Practical examples discussed in detail with clear steps Will assist in planning and preparation of more efficient membrane structure separation


Basic Equations of Mass Transport Through a Membrane Layer

Basic Equations of Mass Transport Through a Membrane Layer

Author: Endre Nagy

Publisher: Elsevier

Published: 2018-11-05

Total Pages: 564

ISBN-13: 0128137231

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Basic Equations of Mass Transport Through a Membrane Layer, Second Edition, has been fully updated to deliver the latest research in the field. This volume covers the essentials of compound separation, product removal, concentration, and production in the chemical, biochemical, pharmaceutical, and food industries. It outlines the various membrane processes and their applications, offering a detailed mathematical description of mass transport and defining basic mass transport and concentration distribution expressions. Additionally, this book discusses the process parameters and application of the expressions developed for a variety of industrial applications. Comprehensive explanations of convective/diffusive mass transport are provided, both with and without polarization layers, that help predict and process performance and facilitate improvements to operation conditions and efficiency. Basic Equations of Mass Transport Through a Membrane Layer is an ideal resource for engineers and technologists in the chemical, biochemical, and pharmaceutical industries, as well as researchers, professors, and students in these areas at both an undergraduate and graduate level. - Cites and analyzes mass transport equations developed for different membrane processes. - Examines the effect of biochemical/chemical reactions in the presence of convective and diffusive flows in plane and cylindrical spaces. - Defines the mass transfer rate for first- and zero-order reactions and analytical approaches are given for other-order reactions in closed mathematical forms. - Analyzes the simultaneous convective and diffusive transports with same or different directions.


Basic Equations of the Mass Transport through a Membrane Layer

Basic Equations of the Mass Transport through a Membrane Layer

Author: Endre Nagy

Publisher: Elsevier

Published: 2011-12-07

Total Pages: 342

ISBN-13: 0123914256

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With a detailed analysis of the mass transport through membrane layers and its effect on different separation processes, this book provides a comprehensive look at the theoretical and practical aspects of membrane transport properties and functions. Basic equations for every membrane are provided to predict the mass transfer rate, the concentration distribution, the convective velocity, the separation efficiency, and the effect of chemical or biochemical reaction taking into account the heterogeneity of the membrane layer to help better understand the mechanisms of the separation processes. The reader will be able to describe membrane separation processes and the membrane reactors as well as choose the most suitable membrane structure for separation and for membrane reactor. Containing detailed discussion of the latest results in transport processes and separation processes, this book is essential for chemistry students and practitioners of chemical engineering and process engineering. - Detailed survey of the theoretical and practical aspects of every membrane process with specific equations - Practical examples discussed in detail with clear steps - Will assist in planning and preparation of more efficient membrane structure separation


The Mathematics of Diffusion

The Mathematics of Diffusion

Author: John Crank

Publisher: Oxford University Press

Published: 1979

Total Pages: 428

ISBN-13: 9780198534112

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Though it incorporates much new material, this new edition preserves the general character of the book in providing a collection of solutions of the equations of diffusion and describing how these solutions may be obtained.


Biofluid Dynamics

Biofluid Dynamics

Author: Clement Kleinstreuer

Publisher: CRC Press

Published: 2016-04-19

Total Pages: 525

ISBN-13: 1420003976

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Biofluid Dynamics builds a solid understanding of medical implants and devices from a bioengineering standpoint. The text features extensive worked examples and mathematical appendices; exercises and project assignments to stimulate critical thinking and build problem solving skills; numerous illustrations, including a 16-page full-color insert; computer simulations of biofluid dynamics processes and medical device operations; tools for solving basic biofluid problems; and a glossary of terms. The text can be used as a primary selection for a comprehensive course or for a two-course sequence or as a reference for professionals in biomedical engineering and medicine.


Membrane Contactors: Fundamentals, Applications and Potentialities

Membrane Contactors: Fundamentals, Applications and Potentialities

Author: Enrico Drioli

Publisher: Elsevier

Published: 2011-08-30

Total Pages: 517

ISBN-13: 0080457010

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Membrane Contactors: Fundamentals, Applications and Potentialities, Volume 11 covers new operations that could be efficiently used to improve the performance of a variety of industrial production cycles in applications ranging from biotechnology to agrofood. This book focuses on the basic "principles of work": required membrane materials and properties; major operating parameters; the importance of module configuration and design and; the performance of membrane contactors in specific processes. The authors' dynamic approach to this subject makes Membrane Contactors: Fundamentals, Applications and Potentialities, Volume 11 the most comprehensive book currently available on all aspects related to the 'membrane contactor world.* Describes new unit operations in process engineering* Covers a wide variety of industrial applications, from biotechnology to agrofood* Applicable to process intensification and sustainable growth strategies


Industrial Membrane Separation Technology

Industrial Membrane Separation Technology

Author: K. Scott

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 317

ISBN-13: 9401106274

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Membrane science and technology is an expanding field and has become a prominent part of many activities within the process industries. It is relatively easy to identify the success stories of membranes such as desali nation and microfiltration and to refer to others as developing areas. This, however, does not do justice to the wide field of separations in which membranes are used. No other 'single' process offers the same potential and versatility as that of membranes. The word separation classically conjures up a model of removing one component or species from a second component, for example a mass transfer process such as distillation. In the field of synthetic membranes, the terminology 'separation' is used in a wider context. A range of separations of the chemical/mass transfer type have developed around the use of membranes including distillation, extraction, absorption, adsorption and stripping, as well as separations of the physical type such as filtration. Synthetic membranes are an integral part of devices for analysis, energy generation and reactors (cells) in the electrochemical industry.


Mass Transfer Models in Membrane Processes

Mass Transfer Models in Membrane Processes

Author: Manfred Raff

Publisher: Springer Nature

Published: 2021-11-27

Total Pages: 79

ISBN-13: 303089195X

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This book serves as an introduction on mass transfer models in membrane processes, with a special focus on their applications in Artificial Organs. Various such models are discussed while multiple easy to use module equations are presented, enabling readers to gain basic knowledge of the mass flow of toxins across membranes. This is particularly interesting to membrane manufacturers who may use these equations to improve the relation of module performances and production costs. Additionally, examples which specialize on artificial organs, but in principle can be applied to analogous environmental, food and biotechnology processes- are analysed. This book will appeal to readers who want to understand how membrane modules and processes can be optimized and will be a great tool for graduates, researchers and professionals working in this field.


Biomedical Mass Transport and Chemical Reaction

Biomedical Mass Transport and Chemical Reaction

Author: James S. Ultman

Publisher: John Wiley & Sons

Published: 2016-06-13

Total Pages: 654

ISBN-13: 0471656321

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Teaches the fundamentals of mass transport with a unique approach emphasizing engineering principles in a biomedical environment Includes a basic review of physiology, chemical thermodynamics, chemical kinetics, mass transport, fluid mechanics and relevant mathematical methods Teaches engineering principles and mathematical modelling useful in the broad range of problems that students will encounter in their academic programs as well as later on in their careers Illustrates principles with examples taken from physiology and medicine or with design problems involving biomedical devices Stresses the simplification of problem formulations based on key geometric and functional features that permit practical analyses of biomedical applications Offers a web site of homework problems associated with each chapter and solutions available to instructors Homework problems related to each chapter are available from a supplementary website (


Fundamental Modeling of Membrane Systems

Fundamental Modeling of Membrane Systems

Author: Patricia Luis

Publisher: Elsevier

Published: 2018-06-29

Total Pages: 374

ISBN-13: 0128134844

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Fundamental Modelling of Membrane Systems: Membrane and Process Performance summarizes the state-of-the-art modeling approaches for all significant membrane processes, from molecular transport, to process level, helping researchers and students who carry out experimental research save time and accurately interpret experimental data. The book provides an overview of the different membrane technologies, handling micro-, ultra-, and nanofiltration, reverse and forward osmosis, pervaporation, gas permeation, supported liquid membranes, membrane contactors, membrane bioreactors and ion-exchange membrane systems. Examples of hybrid membrane systems are also included. - Presents an accessible reference on how to model membranes and membrane processes - Provides a clear, mathematical description of mass transfer in membrane systems - Written by well-known, prominent authors in the field of membrane science