Basic Equations Of The Mass Transport Through A Membrane Layer

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Basic Equations of Mass Transport Through a Membrane Layer

Endre Nagy
Basic Equations of Mass Transport Through a Membrane Layer Book PDF

Author : Endre Nagy
Publisher : Elsevier
Page : 594 pages
File Size : 46,5 Mb
Release : 2018-11-05
Category : Technology & Engineering
ISBN : 9780128137239

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Basic Equations of Mass Transport Through a Membrane Layer by Endre Nagy Pdf

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

Endre Nagy
Basic Equations of the Mass Transport Through a Membrane Layer Book PDF

Author : Endre Nagy
Publisher : Elsevier
Page : 342 pages
File Size : 47,5 Mb
Release : 2012
Category : Science
ISBN : 9780124160255

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Basic Equations of the Mass Transport Through a Membrane Layer by Endre Nagy Pdf

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 Transport Phenomena

Christie J. Geankoplis
Mass Transport Phenomena Book PDF

Author : Christie J. Geankoplis
Publisher : Unknown
Page : 522 pages
File Size : 42,9 Mb
Release : 1972
Category : Science
ISBN : UOM:39015000998792

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Mass Transport Phenomena by Christie J. Geankoplis Pdf

Molecular mass transport phenomena in fluids -- Transport phenomena and the basic equations of change -- Molecular mass transport phenomena in liquids -- Mass transport phenomena in solids -- Unsteady-state diffusion -- Mass transfer coefficients in laminar and turbulent flow -- Interphase mass transport -- Continuous two-phase mass transport processes -- Mass transport in state processes -- Analog computer methods.

Scaling Analysis in Modeling Transport and Reaction Processes

William B. Krantz
Scaling Analysis in Modeling Transport and Reaction Processes Book PDF

Author : William B. Krantz
Publisher : John Wiley & Sons
Page : 576 pages
File Size : 40,9 Mb
Release : 2007-06-04
Category : Technology & Engineering
ISBN : 9780470121924

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Scaling Analysis in Modeling Transport and Reaction Processes by William B. Krantz Pdf

This book is unique as the first effort to expound on the subject of systematic scaling analysis. Not written for a specific discipline, the book targets any reader interested in transport phenomena and reaction processes. The book is logically divided into chapters on the use of systematic scaling analysis in fluid dynamics, heat transfer, mass transfer, and reaction processes. An integrating chapter is included that considers more complex problems involving combined transport phenomena. Each chapter includes several problems that are explained in considerable detail. These are followed by several worked examples for which the general outline for the scaling is given. Each chapter also includes many practice problems. This book is based on recognizing the value of systematic scaling analysis as a pedagogical method for teaching transport and reaction processes and as a research tool for developing and solving models and in designing experiments. Thus, the book can serve as both a textbook and a reference book.

Biomedical Mass Transport and Chemical Reaction

James S. Ultman,Harihara Baskaran,Gerald M. Saidel
Biomedical Mass Transport and Chemical Reaction Book PDF

Author : James S. Ultman,Harihara Baskaran,Gerald M. Saidel
Publisher : John Wiley & Sons
Page : 656 pages
File Size : 48,9 Mb
Release : 2016-04-29
Category : Technology & Engineering
ISBN : 9781119184652

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Biomedical Mass Transport and Chemical Reaction by James S. Ultman,Harihara Baskaran,Gerald M. Saidel Pdf

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 (

Mass Transport in Solids and Fluids

David S. Wilkinson
Mass Transport in Solids and Fluids Book PDF

Author : David S. Wilkinson
Publisher : Cambridge University Press
Page : 292 pages
File Size : 41,9 Mb
Release : 2000-11-02
Category : Science
ISBN : 0521624940

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Mass Transport in Solids and Fluids by David S. Wilkinson Pdf

The field of matter transport is central to understanding the processing of materials and their subsequent mechanical properties. While thermodynamics determines the final state of a material system, it is the kinetics of mass transport that governs how it gets there. This book, first published in 2000, gives a solid grounding in the principles of matter transport and their application to a range of engineering problems. The author develops a unified treatment of mass transport applicable to both solids and liquids. Traditionally matter transport in fluids is considered as an extension of heat transfer and can appear to have little relationship to diffusion in solids. This unified approach clearly makes the connection between these important fields. This book is aimed at advanced undergraduate and beginning graduate students of materials science and engineering and related disciplines. It contains numerous worked examples and unsolved problems. The material can be covered in a one semester course.

Industrial Membrane Separation Technology

K. Scott,R. Hughes
Industrial Membrane Separation Technology Book PDF

Author : K. Scott,R. Hughes
Publisher : Springer Science & Business Media
Page : 317 pages
File Size : 50,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789401106276

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Industrial Membrane Separation Technology by K. Scott,R. Hughes Pdf

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.

Transport Phenomena in Newtonian Fluids - A Concise Primer

Per Olsson
Transport Phenomena in Newtonian Fluids A Concise Primer Book PDF

Author : Per Olsson
Publisher : Springer Science & Business Media
Page : 94 pages
File Size : 46,6 Mb
Release : 2013-08-30
Category : Science
ISBN : 9783319013091

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Transport Phenomena in Newtonian Fluids - A Concise Primer by Per Olsson Pdf

This short primer provides a concise and tutorial-style introduction to transport phenomena in Newtonian fluids , in particular the transport of mass, energy and momentum. The reader will find detailed derivations of the transport equations for these phenomena, as well as selected analytical solutions to the transport equations in some simple geometries. After a brief introduction to the basic mathematics used in the text, Chapter 2, which deals with momentum transport, presents a derivation of the Navier-Stokes-Duhem equation describing the basic flow in a Newtonian fluid. Also provided at this stage are the derivations of the Bernoulli equation, the pressure equation and the wave equation for sound waves. The boundary layer, turbulent flow and flow separation are briefly reviewed. Chapter 3, which addresses energy transport caused by thermal conduction and convection, examines a derivation of the heat transport equation. Finally, Chapter 4, which focuses on mass transport caused by diffusion and convection, discusses a derivation of the mass transport equation.

Transport Mechanisms in Membrane Separation Processes

J.G.A. Bitter
Transport Mechanisms in Membrane Separation Processes Book PDF

Author : J.G.A. Bitter
Publisher : Springer Science & Business Media
Page : 219 pages
File Size : 54,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461536826

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Transport Mechanisms in Membrane Separation Processes by J.G.A. Bitter Pdf

The present book contains a comparison of existing theoretical models developed in order to describe membrane separation processes. In general, the permeation equations resulting from these models give inaccurate predictions of the mutual effects of the permeants involved, due to the simplifications adopted in their derivation. It is concluded that an optimum description of transport phenomena in tight (diffusion-type) membranes is achieved with the "solution-diffusion" model. According to this model each component of a fluid mixture to be separated dissolves in the membrane and passes through by diffusion in response to its gradient in the chemical potential. A modified Flory-Huggins equation has been derived to calculate the solubility of the permeants in the membrane material. Contrary to the original Flory-Huggins equation, the modified equation accounts for the large effect on solubility of crystallinity and elastic strain of the polymer chains by swelling. The equilibrium sorption of liquids computed with this equation was found to be in good agreement with experimental results. Also, the sorption of gases in both rubbery and glassy polymers could be described quan titatively with the modified Flory-Huggins equation without any need of the arbitrary Langmuir term, as required in the conventional "dual-mode" sorption model. Furthermore, fewer parameters are required than with the at least identical accuracy.

Osmotically Driven Membrane Processes

Muharrem Ince,Olcay Kaplan Ince
Osmotically Driven Membrane Processes Book PDF

Author : Muharrem Ince,Olcay Kaplan Ince
Publisher : BoD – Books on Demand
Page : 136 pages
File Size : 50,6 Mb
Release : 2022-02-16
Category : Technology & Engineering
ISBN : 9781839689116

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Osmotically Driven Membrane Processes by Muharrem Ince,Olcay Kaplan Ince Pdf

Osmotically Driven Membrane Processes provides an overview of membrane systems and separation processes, recent trends in membranes and membrane processes, and advancements in osmotically driven membrane systems. It focuses on recent advances in monitoring and controlling wastewater using membrane technologies. It explains and clarifies important research studies as well as discusses advancements in the field of organic-inorganic pollution.

Transport Phenomena

Estéban Saatdjian
Transport Phenomena Book PDF

Author : Estéban Saatdjian
Publisher : John Wiley & Sons
Page : 440 pages
File Size : 43,6 Mb
Release : 2000-11-08
Category : Science
ISBN : UVA:X004471755

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Transport Phenomena by Estéban Saatdjian Pdf

This invaluable text, provides a much-needed overview of both the theoretical development, as well as appropriate numerical solutions, for all aspects of transport phenomena. It contains a basic introduction to many aspects of fluid mechanics, heat transfer and mass transfer, and the conservation equations for mass, energy and momentum are discussed with reference to engineering applications. Heat transfer by conduction, radiation, natural and forced convection is studied, as well as mass transfer and incompressible fluid mechanics. The second part of the book deals with numerical methods used to solve the problems encountered earlier. The basic concepts of finite difference and finite volume methods are presented. Other subjects usually covered in mathematical textbooks such as vector and tensor analysis, Laplace transforms, and Runge-Kutta methods are discussed in the Appendices. * Offers comprehensive coverage of both transport phenomena and numerical and analytical solutions to the problems. * Includes comprehensive coverage of numerical techniques. * Provides real-life problems and solutions, which are vital to the understanding and implementation of applications. This work will be welcomed not only by senior and graduate students in mechanical, aeronautical and chemical engineering, but also for engineers practising in these fields.

Transport Analysis

Daniel Hershey
Transport Analysis Book PDF

Author : Daniel Hershey
Publisher : Springer Science & Business Media
Page : 358 pages
File Size : 46,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461344841

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Transport Analysis by Daniel Hershey Pdf

It has been my experience in teaching graduate and undergraduate courses that if the students are conversant with the pertinent mathematical proce dures, and can "think mathematically," there is almost no limit to their comprehension. Most courses that are considered difficult by students are either poorly taught or require a degree of mathematical sophistication that the students do not possess. In Transport Analysis, J have culled some basic momentum transport (fluid flow) and mass transport phenomena and explicitly revealed the derivation of the governing equations. There is no mystery, no omitted steps or "it can be shown" phrases that are usually the bane of the student. There are chapters that review basic calculus, vector and matrix concepts, Laplace transform operations, and finite difference calculus. Ordinary dif ferential and partial differential equations are derived and solved. This book is intended for undergraduates and graduate students in engineering, chemistry, physics, and even biology and medicine. It is also intended for my non-engineering colleagues with whom I have collaborated during our cooperative research in the life sciences. If they knew what is contained in Transport Analysis, they probably wouldn't need me. v Acknowledgments To Barbara and Michael, who helped keep me alert, happy, and ful filled. To Barbara, who deserves belated thanks for doing the drawings in E1'eryday Science. To Anne Hagedorn, thanks for doing some of the typing. To Gerry Denterlein, thanks for keeping tabs on the drawings.

An Introduction to Transport Phenomena in Materials Engineering

David R. Gaskell,Matthew John M. Krane
An Introduction to Transport Phenomena in Materials Engineering Book PDF

Author : David R. Gaskell,Matthew John M. Krane
Publisher : CRC Press
Page : 435 pages
File Size : 50,8 Mb
Release : 2024-01-24
Category : Science
ISBN : 9781000996388

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An Introduction to Transport Phenomena in Materials Engineering by David R. Gaskell,Matthew John M. Krane Pdf

This book elucidates the important role of conduction, convection, and radiation heat transfer, mass transport in solids and fluids, and internal and external fluid flow in the behavior of materials processes. These phenomena are critical in materials engineering because of the connection of transport to the evolution and distribution of microstructural properties during processing. From making choices in the derivation of fundamental conservation equations, to using scaling (order-of-magnitude) analysis showing relationships among different phenomena, to giving examples of how to represent real systems by simple models, the book takes the reader through the fundamentals of transport phenomena applied to materials processing. Fully updated, this third edition of a classic textbook offers a significant shift from the previous editions in the approach to this subject, representing an evolution incorporating the original ideas and extending them to a more comprehensive approach to the topic. FEATURES Introduces order-of-magnitude (scaling) analysis and uses it to quickly obtain approximate solutions for complicated problems throughout the book Focuses on building models to solve practical problems Adds new sections on non-Newtonian flows, turbulence, and measurement of heat transfer coefficients Offers expanded sections on thermal resistance networks, transient heat transfer, two-phase diffusion mass transfer, and flow in porous media Features more homework problems, mostly on the analysis of practical problems, and new examples from a much broader range of materials classes and processes, including metals, ceramics, polymers, and electronic materials Includes homework problems for the review of the mathematics required for a course based on this book and connects the theory represented by mathematics with real-world problems This book is aimed at advanced engineering undergraduates and students early in their graduate studies, as well as practicing engineers interested in understanding the behavior of heat and mass transfer and fluid flow during materials processing. While it is designed primarily for materials engineering education, it is a good reference for practicing materials engineers looking for insight into phenomena controlling their processes. A solutions manual, lecture slides, and figure slides are available for qualifying adopting professors.

Transport Phenomena Fundamentals

Joel L. Plawsky
Transport Phenomena Fundamentals Book PDF

Author : Joel L. Plawsky
Publisher : CRC Press
Page : 986 pages
File Size : 46,6 Mb
Release : 2001-04-25
Category : Science
ISBN : 0824705009

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Transport Phenomena Fundamentals by Joel L. Plawsky Pdf

This volume is organized to highlight the parallels and the differences between the transport phenomena. It facilitates comprehension and retention of basic momentum, heat, mass and charge transport processes and properties and features a balance equation format based on systematic addition and analysis of each term in the balance equation. There are more than 1300 equations, and end-of-chapter problems are provided to reinforce important text material.

Biofluid Dynamics

Clement Kleinstreuer
Biofluid Dynamics Book PDF

Author : Clement Kleinstreuer
Publisher : CRC Press
Page : 528 pages
File Size : 43,8 Mb
Release : 2016-04-19
Category : Medical
ISBN : 9781420003970

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Biofluid Dynamics by Clement Kleinstreuer Pdf

Requiring only an introductory background in continuum mechanics, including thermodynamics, fluid mechanics, and solid mechanics, Biofluid Dynamics: Principles and Selected Applications contains review, methodology, and application chapters to build a solid understanding of medical implants and devices. For additional assistance, it includes a glossary of biological terms, many figures illustrating theoretical concepts, numerous solved sample problems, and mathematical appendices. The text is geared toward seniors and first-year graduate students in engineering and physics as well as professionals in medicine and medical implant/device industries. It can be used as a primary selection for a comprehensive course or for a two-course sequence. The book has two main parts: theory, comprising the first two chapters; and applications, constituting the remainder of the book. Specifically, the author reviews the fundamentals of physical and related biological transport phenomena, such as mass, momentum, and heat transfer in biomedical systems, and highlights complementary topics such as two-phase flow, biomechanics, and fluid-structure interaction. Two appendices summarize needed elements of engineering mathematics and CFD software applications, and these are also found in the fifth chapter. The application part, in form of project analyses, focuses on the cardiovascular system with common arterial diseases, organ systems, targeted drug delivery, and stent-graft implants. Armed with Biofluid Dynamics, students will be ready to solve basic biofluids-related problems, gain new physical insight, and analyze biofluid dynamics aspects of biomedical systems.