Basic Equations of Mass Transport Through a Membrane Layer

Basic Equations of Mass Transport Through a Membrane Layer
Author: Endre Nagy
Publsiher: Elsevier
Total Pages: 594
Release: 2018-11-05
Genre: Technology & Engineering
ISBN: 9780128137239

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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
Publsiher: Elsevier
Total Pages: 326
Release: 2011-12-07
Genre: Science
ISBN: 9780123914255

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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

Mass Transfer Models in Membrane Processes

Mass Transfer Models in Membrane Processes
Author: Manfred Raff
Publsiher: Springer Nature
Total Pages: 135
Release: 2022
Genre: Electronic Book
ISBN: 9783030891954

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The Mathematics of Diffusion

The Mathematics of Diffusion
Author: John Crank,Emeritus Professor John Crank
Publsiher: Oxford University Press
Total Pages: 414
Release: 1979
Genre: Mathematics
ISBN: 0198534116

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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.

Mass Transfer

Mass Transfer
Author: Marek Solecki
Publsiher: BoD – Books on Demand
Total Pages: 290
Release: 2015-10-22
Genre: Science
ISBN: 9789535121923

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This book covers a wide variety of topics related to advancements in different stages of mass transfer modelling processes. Its purpose is to create a platform for the exchange of recent observations, experiences, and achievements. It is recommended for those in the chemical, biotechnological, pharmaceutical, and nanotechnology industries as well as for students of natural sciences, technical, environmental and employees in companies which manufacture machines for the above-mentioned industries. This work can also be a useful source for researchers and engineers dealing with mass transfer and related issues.

Biomedical Mass Transport and Chemical Reaction

Biomedical Mass Transport and Chemical Reaction
Author: James S. Ultman,Harihara Baskaran,Gerald M. Saidel
Publsiher: John Wiley & Sons
Total Pages: 656
Release: 2016-06-13
Genre: Medical
ISBN: 9780471656326

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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 (

Osmotically Driven Membrane Processes

Osmotically Driven Membrane Processes
Author: Hongbo Du,Audie Thompson,Xinying Wang
Publsiher: BoD – Books on Demand
Total Pages: 282
Release: 2018-03-28
Genre: Technology & Engineering
ISBN: 9789535139218

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Osmotically driven membrane processes (ODMPs) including forward osmosis (FO) and pressure-retarded osmosis (PRO) have attracted increasing attention in fields such as water treatment, desalination, power generation, and life science. In contrast to pressure-driven membrane processes, e.g., reverse osmosis, which typically employs applied high pressure as driving force, ODMPs take advantages of naturally generated osmotic pressure as the sole source of driving force. In light of this, ODMPs possess many advantages over pressure-driven membrane processes. The advantages include low energy consumption, ease of equipment maintenance, low capital investment, high salt rejection, and high water flux. In the past decade, over 300 academic papers on ODMPs have been published in a variety of application fields. The number of such publications is still rapidly growing. The ODMPs' approach, fabrications, recent development and applications in wastewater treatment, power generation, seawater desalination, and gas absorption are presented in this book.

Modelling and Simulation of Nano ltration Membranes

Modelling and Simulation of Nano   ltration Membranes
Author: Gamze Artug
Publsiher: Cuvillier Verlag
Total Pages: 248
Release: 2007-12-07
Genre: Technology & Engineering
ISBN: 9783736924468

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Nanofiltration (NF) is a relatively recent membrane process and offers a plethora of application areas due to its selective removal for ions and removal of organic matter above 200 g/mol molar mass. Application fields enlarged substantially in the last 25 years. Accordingly, there is an increasing need for process design and optimisation tools. Therefore, current research studiesfocus on a better understanding of mass transport phenomenon as well as the application and enhancement of the existing models to the real process streams. In this thesis work, characterisation of NF membranes and investigations of their mass transport phenomenon through both experimental and modelling studies were of concern. For these purposes, flat sheet samples of four commercially available membranes were selected. Since the performance of a NF membrane is related to its structural and charge properties, membrane characterisation studies by microscopy, contact angle and electrokinetic measurements were conducted. A systematic experimental program was applied covering a wide spectrum of feed streams concerning both charged and uncharged solutes. Particularly charged streams regarding single salts and their mixtures were emphasised. Moreover, the effects of the operating conditions and the solution pH on membrane performances were investigated. Standard performance characterisation experiments, consisting of pure water permeability, organic and single salt rejection measurements, gave initial information on the membrane charge and performance characteristics. In mixture solutions of salts, distinctive behaviours of membranes to different ion types at different combinations were observed. Furthermore, artificial seawater experiments were conducted in order to determine the convenience of the considered NF membranes for this recently recognised process as an intensification step in the pre-treatment of seawater. A practical tool was developed for the performance description and prediction purposes. For this purpose, currently available models were scrutinized. A physical model, based on extended Nernst-Planck equation describing mass transport through membrane active layer in conjunction with different partition equations at membrane and bulk interfaces, was built. Some modelling parameters were obtained either directly from the characterisation data or by applying some other straightforward models using experimental data. For the latter purpose, Fortran 90 programming code was used. As the programming efforts increase with the number of components in the feed stream, an equation based software Comsol Multiphysics was utilised. Herewith, model could be applied straightforwardly to multicomponents streams. Simulations were conducted systematically started from single salts, extended to salt mixtures and finally for seawater. A good agreement between experimental and simulation results were obtained. Suggestions were made to improve both the predictive ability and the reliability of the model. Incorporating the predictive model with system economics in a case study indicated that such an approach enables determining the optimum operating conditions and selecting the most appropriate membrane characteristics for the regarding process.