# Transport And Surface Phenomena

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## Transport and Surface Phenomena

Author | : Kamil Wichterle,Marek Vecer |

Publsiher | : Elsevier |

Total Pages | : 235 |

Release | : 2020-05 |

ISBN 10 | : 0128189940 |

ISBN 13 | : 9780128189948 |

Language | : EN, FR, DE, ES & NL |

**Transport and Surface Phenomena Book Review:**

Transport and Surface Phenomena provides an overview of the key transfers taking place in reactions and explores how calculations of momentum, energy and mass transfers can help researchers develop the most appropriate, cost effective solutions to chemical problems. Beginning with a thorough overview of the nature of transport phenomena, the book goes on to explore balances in transport phenomena, including key equations for assessing balances, before concluding by outlining mathematical methods for solving the transfer equations. Drawing on the experience of its expert authors, it is an accessible introduction to the field for students, researchers and professionals working in chemical engineering. The book and is also ideal for those in related fields such as physical chemistry, energy engineering, and materials science, for whom a deeper understanding of these interactions could enhance their work.

## Transport and Surface Phenomena

Author | : Kamil Wichterle,Marek Vecer |

Publsiher | : Elsevier |

Total Pages | : 318 |

Release | : 2020-04-22 |

ISBN 10 | : 0128189959 |

ISBN 13 | : 9780128189955 |

Language | : EN, FR, DE, ES & NL |

**Transport and Surface Phenomena Book Review:**

Transport and Surface Phenomena provides an overview of the key transfers taking place in reactions and explores how calculations of momentum, energy and mass transfers can help researchers develop the most appropriate, cost effective solutions to chemical problems. Beginning with a thorough overview of the nature of transport phenomena, the book goes on to explore balances in transport phenomena, including key equations for assessing balances, before concluding by outlining mathematical methods for solving the transfer equations. Drawing on the experience of its expert authors, it is an accessible introduction to the field for students, researchers and professionals working in chemical engineering. The book and is also ideal for those in related fields such as physical chemistry, energy engineering, and materials science, for whom a deeper understanding of these interactions could enhance their work. Presents fundamental background knowledge and experimental methods in a clear and accessible style Cements information through problems for the reader to solve, making the book ideal for learning, teaching and refreshing subject knowledge Outlines mathematical approaches for solving energy transfers to show applications of the key equations in practice

## Advanced Transport Phenomena

Author | : L. Gary Leal |

Publsiher | : Cambridge University Press |

Total Pages | : 135 |

Release | : 2007-06-18 |

ISBN 10 | : 9781139462068 |

ISBN 13 | : 1139462067 |

Language | : EN, FR, DE, ES & NL |

**Advanced Transport Phenomena Book Review:**

Advanced Transport Phenomena is ideal as a graduate textbook. It contains a detailed discussion of modern analytic methods for the solution of fluid mechanics and heat and mass transfer problems, focusing on approximations based on scaling and asymptotic methods, beginning with the derivation of basic equations and boundary conditions and concluding with linear stability theory. Also covered are unidirectional flows, lubrication and thin-film theory, creeping flows, boundary layer theory, and convective heat and mass transport at high and low Reynolds numbers. The emphasis is on basic physics, scaling and nondimensionalization, and approximations that can be used to obtain solutions that are due either to geometric simplifications, or large or small values of dimensionless parameters. The author emphasizes setting up problems and extracting as much information as possible short of obtaining detailed solutions of differential equations. The book also focuses on the solutions of representative problems. This reflects the book's goal of teaching readers to think about the solution of transport problems.

## Transport Phenomena in Dispersed Media

Author | : G. I. Kelbaliyev,D. B. Tagiyev,S.R. Rasulov |

Publsiher | : CRC Press |

Total Pages | : 434 |

Release | : 2019-09-26 |

ISBN 10 | : 0429535910 |

ISBN 13 | : 9780429535918 |

Language | : EN, FR, DE, ES & NL |

**Transport Phenomena in Dispersed Media Book Review:**

Transport Phenomena in Dispersed Media addresses the main problems associated with the transfer of heat, mass and momentum. The authors focus on the analytical solutions of the mass and heat transfer equations; the theoretical problems of coalescence, coagulation, aggregation and fragmentation of dispersed particles; the rheology of structured aggregate and kinetically stable disperse systems; the precipitation of particles in a turbulent flow; the evolution of the distribution function; the stochastic counterpart of the mass transfer equations; the dissipation of energy in disperse systems; and many other problems that distinguish this book from existing publications. Key Selling Features Covers all technological processes taking place in the oil and gas complex, as well as in the petrochemical industry Presents new original solutions for calculating design as well as for the development and implementation of processes of chemical technology Organized to first provide an extensive review of each chapter topic, solve specific problems, and then review the solutions with the reader Contains complex mathematical expressions for practical calculations Compares results obtained on the basis of mathematical models with experimental data

## Transport Phenomena in Manufacturing and Materials Processing

Author | : W.-J. Yang,S. Mochizuki,N. Nishiwaki |

Publsiher | : Elsevier |

Total Pages | : 193 |

Release | : 2016-01-21 |

ISBN 10 | : 1483291324 |

ISBN 13 | : 9781483291321 |

Language | : EN, FR, DE, ES & NL |

**Transport Phenomena in Manufacturing and Materials Processing Book Review:**

Motivated by international competition and an easy access to high-speed computers the manufacturing and materials processing industry has seen many changes in recent times. New techniques are constantly being devloped based on a broad range of basic sciences including physics, chemistry and particularly thermal-fluids sciences and kinetics. In order to produce and treat massive products, the industry is also in need of a very wide range of engineering knowledge and skill for integrating metallurgy, mechanics, electricity, transport phenomena, instrumentation and computer control. This monograph covers a part of these demands, namely by presenting the available knowledge on transport phenomena in manufacturing and materials processing. It is divided into four parts. Part I deals with the fundamentals of transport phenomena, including the transfer of momentum, energy, mass, electric and magnetic properties. Parts II and III are concerned with applications of the fundamentals in transport phenomena occurring in manufacturing and materials processing, respectively. Emphasis has been placed on common aspects of both discciplines, such as forming, machining, welding, casting, injection molding, surface processes, heating and cooling, solidification, crystal growth and diffusion. Part IV deals with beam technology and microgravity, two topics of current importance.

## Interphase Transport and Accompanying Surface Phenomena in Mass and Heat Transfer Operations

Author | : Anonim |

Publsiher | : Unknown |

Total Pages | : 135 |

Release | : 1985 |

ISBN 10 | : 1928374650XXX |

ISBN 13 | : OCLC:911146456 |

Language | : EN, FR, DE, ES & NL |

**Interphase Transport and Accompanying Surface Phenomena in Mass and Heat Transfer Operations Book Review:**

## Surface Phenomena in Metallurgical Processes

Author | : A. I. Belyaev |

Publsiher | : Springer Science & Business Media |

Total Pages | : 135 |

Release | : 2012-12-06 |

ISBN 10 | : 1475700768 |

ISBN 13 | : 9781475700763 |

Language | : EN, FR, DE, ES & NL |

**Surface Phenomena in Metallurgical Processes Book Review:**

Surface phenomena in the field of high-temperature processes are attracting ever increasing attention on the part of scientific workers and engineers. In this field, many questions of applied science cannot properly be solved without taking into account the characteristics caused by surface phenomena at the various interfaces. The importance of surface phenomena in the pyrometallurgy of nonferrous and ferrous metals was convincingly demonstrated at a scientific conference on this problem held in Moscow towards the end of 1961. The English translation of the transactions of this conference, "Surface Phenomena in Metallurgical Processes, .. and its publication in the USA will ena ble American scientists and engineers working in the field of surface phenomena and metallurgy to acquaint themselves with the work of Russian investigators in this inter esting field of physical chemistry and the theory of metallurgical processes. In the Soviet Union, important groups of scientists in Moscow, Leningrad, Kiev, Sverdlovsk. and other cities are engaged in the study of surface phenomena as applied to the different branches of metallurgy. We trust that the publication of the American edition of the book "Surface Phenomena in Metallurgical Processes" will help to strengthen the scientific bonds between Soviet and American scientists.

## Transport Phenomena of Foods and Biological Materials

Author | : Vassilis Gekas |

Publsiher | : Routledge |

Total Pages | : 256 |

Release | : 2017-10-02 |

ISBN 10 | : 1351406973 |

ISBN 13 | : 9781351406970 |

Language | : EN, FR, DE, ES & NL |

**Transport Phenomena of Foods and Biological Materials Book Review:**

Transport Phenomena of Foods and Biological Materials provides comprehensive coverage of transport phenomena modeling in foods and other biological materials. The book is unique in its consideration of models ranging from rigorous mathematical to empirical approaches, including phenomenological and semi-empirical models. It examines cell structure and descriptions of other non-traditional models, such as those based on irreversible thermodynamics or those focused on the use of the chemical and electrochemical potential as the driving forces of transport. Other topics discussed include the source term (important for the coupling transport phenomena-reaction or other intentional/unintentional phenomena) and the connections between transport phenomena modeling and design aspects. Some 100 tables provide useful summaries of the characteristics of each model and provide data about the transport properties of an extensive variety of foods. Transport Phenomena of Foods and Biological Materials will benefit a broad audience of chemists, biochemists, biotechnologists, and other scientists in the academic and industrial realm of foods and biological materials.

## Electrokinetic and Colloid Transport Phenomena

Author | : Jacob H. Masliyah,Subir Bhattacharjee |

Publsiher | : John Wiley & Sons |

Total Pages | : 676 |

Release | : 2006-05-26 |

ISBN 10 | : 0471799734 |

ISBN 13 | : 9780471799733 |

Language | : EN, FR, DE, ES & NL |

**Electrokinetic and Colloid Transport Phenomena Book Review:**

A new, definitive perspective of electrokinetic and colloidtransport processes Responding to renewed interest in the subject of electrokinetics,Electrokinetic and Colloid Transport Phenomena is a timely overviewof the latest research and applications in this field for both thebeginner and the professional. An outgrowth of an earlier text (bycoauthor Jacob Masliyah), this self-contained reference provides anup-to-date summary of the literature on electrokinetic and colloidtransport phenomena as well as direct pedagogical insight into thedevelopment of the subject over the past several decades. A distinct departure from standard colloid science monographs,Electrokinetic and Colloid Transport Phenomena presents the mostsalient features of the theory in a simple and direct manner,allowing the book to serve as a stepping-stone for further learningand study. In addition, the book uniquely discusses numericalsimulation of electrokinetic problems and demonstrates the use ofcommercial finite element software for solving these multiphysicsproblems. Among the topics covered are: * Mathematical preliminaries * Colloidal systems * Electrostatics and application of electrostatics * Electric double layer * Electroosmosis and streaming potential * Electrophoresis and sedimentation potential * London-Van der Waals forces and the DLVO theory * Coagulation and colloid deposition * Numerical simulation of electrokinetic phenomena * Applications of electrokinetic phenomena Because this thorough reference does not require advancedmathematical knowledge, it enables a graduate or a seniorundergraduate student approaching the subject for the first time toeasily interpret the theories. On the other hand, the applicationof relevant mathematical principles and the worked examples areextremely useful to established researchers and professionalsinvolved in a wide range of areas, including electroosmosis,streaming potential, electrophoretic separations, industrialpractices involving colloids and complex fluids, environmentalremediation, suspensions, and microfluidic systems.

## Transport Phenomena for Chemical Reactor Design

Author | : Laurence A. Belfiore |

Publsiher | : John Wiley & Sons |

Total Pages | : 910 |

Release | : 2003-07-04 |

ISBN 10 | : 0471265586 |

ISBN 13 | : 9780471265580 |

Language | : EN, FR, DE, ES & NL |

**Transport Phenomena for Chemical Reactor Design Book Review:**

Laurence Belfiore’s unique treatment meshes two mainstreamsubject areas in chemical engineering: transport phenomena andchemical reactor design. Expressly intended as an extension ofBird, Stewart, and Lightfoot’s classic Transport Phenomena,and Froment and Bischoff’s Chemical Reactor Analysis andDesign, Second Edition, Belfiore’s unprecedented textexplores the synthesis of these two disciplines in a manner theupper undergraduate or graduate reader can readily grasp. Transport Phenomena for Chemical Reactor Designapproaches the design of chemical reactors from microscopic heatand mass transfer principles. It includes simultaneousconsideration of kinetics and heat transfer, both critical to theperformance of real chemical reactors. Complementary topics intransport phenomena and thermodynamics that provide support forchemical reactor analysis are covered, including: Fluid dynamics in the creeping and potential flow regimesaround solid spheres and gas bubbles The corresponding mass transfer problems that employ velocityprofiles, derived in the book’s fluid dynamics chapter, tocalculate interphase heat and mass transfer coefficients Heat capacities of ideal gases via statistical thermodynamicsto calculate Prandtl numbers Thermodynamic stability criteria for homogeneous mixtures thatreveal that binary molecular diffusion coefficients must bepositive In addition to its comprehensive treatment, the text alsocontains 484 problems and ninety-six detailed solutions to assistin the exploration of the subject. Graduate and advancedundergraduate chemical engineering students, professors, andresearchers will appreciate the vision, innovation, and practicalapplication of Laurence Belfiore’s Transport Phenomenafor Chemical Reactor Design.

## Modelling and Applications of Transport Phenomena in Porous Media

Author | : Jacob Bear,J.M. Buchlin |

Publsiher | : Springer Science & Business Media |

Total Pages | : 381 |

Release | : 2012-12-06 |

ISBN 10 | : 9401126321 |

ISBN 13 | : 9789401126328 |

Language | : EN, FR, DE, ES & NL |

**Modelling and Applications of Transport Phenomena in Porous Media Book Review:**

Transport phenomenain porous media are encounteredin various disciplines, e. g. , civil engineering, chemical engineering, reservoir engineering, agricul tural engineering and soil science. In these disciplines, problems are en countered in which various extensive quantities, e. g. , mass and heat, are transported through a porous material domain. Often, the void space of the porous material contains two or three fluid phases, and the various ex tensive quantities are transported simultaneously through the multiphase system. In all these disciplines, decisions related to a system's development and its operation have to be made. To do so a tool is needed that will pro vide a forecast of the system's response to the implementation of proposed decisions. This response is expressed in the form of spatial and temporal distributions of the state variables that describe the system's behavior. Ex amples of such state variables are pressure, stress, strain, density, velocity, solute concentration, temperature, etc. , for each phase in the system, The tool that enables the required predictions is the model. A model may be defined as a simplified version of the real porous medium system and the transport phenomena that occur in it. Because the model is a sim plified version of the real system, no unique model exists for a given porous medium system. Different sets of simplifying assumptions, each suitable for a particular task, will result in different models.

## Encyclopedia of Surface and Colloid Science

Author | : P. Somasundaran |

Publsiher | : CRC Press |

Total Pages | : 6675 |

Release | : 2006 |

ISBN 10 | : 9780849396052 |

ISBN 13 | : 0849396050 |

Language | : EN, FR, DE, ES & NL |

**Encyclopedia of Surface and Colloid Science Book Review:**

## Transport Phenomena in Porous Media II

Author | : I. Pop,Derek B Ingham |

Publsiher | : Elsevier |

Total Pages | : 468 |

Release | : 2002-06-20 |

ISBN 10 | : 9780080543178 |

ISBN 13 | : 0080543170 |

Language | : EN, FR, DE, ES & NL |

**Transport Phenomena in Porous Media II Book Review:**

Transport phenomena in porous media continues to be a field which attracts intensive research activity. This is primarily due to the fact that it plays an important and practical role in a large variety of diverse scientific applications. Transport Phenomena in Porous Media II covers a wide range of the engineering and technological applications, including both stable and unstable flows, heat and mass transfer, porosity, and turbulence. Transport Phenomena in Porous Media II is the second volume in a series emphasising the fundamentals and applications of research in porous media. It contains 16 interrelated chapters of controversial, and in some cases conflicting, research, over a wide range of topics. The first volume of this series, published in 1998, met with a very favourable reception. Transport Phenomena in Porous Media II maintains the original concept including a wide and diverse range of topics, whilst providing an up-to-date summary of recent research in the field by its leading practitioners.

## Molecular Interfacial Phenomena of Polymers and Biopolymers

Author | : P Chen |

Publsiher | : Elsevier |

Total Pages | : 712 |

Release | : 2005-07-22 |

ISBN 10 | : 1845690834 |

ISBN 13 | : 9781845690830 |

Language | : EN, FR, DE, ES & NL |

**Molecular Interfacial Phenomena of Polymers and Biopolymers Book Review:**

One of the most exciting areas of polymer research is the study of interfacial phenomena and their practical applications. This major work reviews the key research in this important area and is used in such areas as biomaterials. Part one looks at the thermodynamics, kinetics and other fundamental properties of polymer surfaces and interfaces. The second part of the book reviews ways of characterising and manipulating interfacial phenomena. It includes examples of practical applications such as vaccine delivery, tissue engineering and the development of therapeutic lung surfactants. With its distinguished editor and international team of contributors, Molecular interfacial phenomena of polymers and biopolymers is a standard work on understanding polymeric interfacial properties and their medical and other practical applications. Reviews key research in this hot area including biomaterials Examines polymeric interfacial properties and reviews medical and other practical applications Edited by a leading authority with contributions from distinguished experts worldwide

## Transport Phenomena in Microfluidic Systems

Author | : Pradipta Kumar Panigrahi |

Publsiher | : John Wiley & Sons |

Total Pages | : 568 |

Release | : 2016-02-15 |

ISBN 10 | : 1118298411 |

ISBN 13 | : 9781118298411 |

Language | : EN, FR, DE, ES & NL |

**Transport Phenomena in Microfluidic Systems Book Review:**

Fully comprehensive introduction to the rapidly emerging area of micro systems technology Transport Phenomena in Micro Systems explores the fundamentals of the new technologies related to Micro-Electro-Mechanical Systems (MEMS). It deals with the behavior, precise control and manipulation of fluids that are geometrically constrained to a small, typically sub-millimeter, scale, such as nl, pl, fl, small size, low energy consumption, effects of the micro domain and heat transfer in the related devices. The author describes in detail and with extensive illustration micro fabrication, channel flow, transport laws, magnetophoresis, micro scale convection and micro sensors and activators, among others. This book spans multidisciplinary fields such as material science and mechanical engineering, engineering, physics, chemistry, microtechnology and biotechnology. Brings together in one collection recent and emerging developments in this fast-growing area of micro systems Covers multidisciplinary fields such as materials science, mechanical engineering, microtechnology and biotechnology, et al Comprehensive coverage of analytical models in microfluidics and MEMS technology Introduces micro fluidics applications include the development of inkjet printheads, micro-propulsion, and micro thermal technologies Presented in a very logical format Supplies readers with problems and solutions

## Transport Phenomena in Heat and Mass Transfer

Author | : J.A. Reizes |

Publsiher | : Elsevier |

Total Pages | : 833 |

Release | : 2012-12-02 |

ISBN 10 | : 0444599797 |

ISBN 13 | : 9780444599797 |

Language | : EN, FR, DE, ES & NL |

**Transport Phenomena in Heat and Mass Transfer Book Review:**

Theoretical, numerical and experimental studies of transport phenomena in heat and mass transfer are reported in depth in this volume. Papers are presented which review and discuss the most recent developments in areas such as: Mass transfer; Cooling of electronic components; Phase change processes; Instrumentation techniques; Numerical methods; Heat transfer in rotating machinery; Hypersonic flows; and Industrial applications. Bringing together the experience of specialists in these fields, the volume will be of interest to researchers and practising engineers who wish to enhance their knowledge in these rapidly developing areas.

## Transport Phenomena in Multiphase Systems

Author | : Amir Faghri,Yuwen Zhang |

Publsiher | : Academic Press |

Total Pages | : 1030 |

Release | : 2006 |

ISBN 10 | : 1928374650XXX |

ISBN 13 | : UOM:39015064711818 |

Language | : EN, FR, DE, ES & NL |

**Transport Phenomena in Multiphase Systems Book Review:**

Transport phenomena are the physical forces and processes by which energy and mass are moved into, out of, and throughout a system. Systems that are changing from one state (phase) to another, such as liquid to gas, are said to be "multiphase." This advanced text, for the first time, teaches the fundamentals of transport phenomena, including the relevant thermodynamics and kinetics, in the context of multiphase systems. Students will find this an accessible guide to the understanding of an often dauntingly complex subject, with ample worked-out examples taken from real-life engineering problems and helpful end-of-chapter problems to help reinforce abstract concepts. *Develops and understanding of the thermal and physical behavior of multiphase systems *Reviews underlying thermodynamics, including thermal equilibria and stability, thermodynamics of surfaces *Covers all types of phase changes, including melting and solidification, sublimation and vapor deposition, boiling, condensation, and evaporation *Ample end-of-chapter problems *Solutions Manual

## Surface Phenomena and Fine Particles in Water Based Coatings and Printing Technology

Author | : F.J. Micale,Mahendra K. Sharma |

Publsiher | : Springer Science & Business Media |

Total Pages | : 333 |

Release | : 2012-12-06 |

ISBN 10 | : 1461538122 |

ISBN 13 | : 9781461538127 |

Language | : EN, FR, DE, ES & NL |

**Surface Phenomena and Fine Particles in Water Based Coatings and Printing Technology Book Review:**

'IHE CURRENT STATE OF 'IHE AID' of several aspects of water-based coatings and printing processes is presented in this voltnne. It documents the proceedings of the Intemationl Syrrposium on Surface RJ. enornena and Fine Particles in Water-Based Coatings and Printing Teclmology sponsored by the Fine Particle Society (FPS). '!his meeting was held in Boston, Massachusetts, August 21-25, 1989. '!he syrrp:>sium upon which this voltnne is based was organized in six sessions errphasizing various basic and applied areas of research on water-based technology. Major topics discussed involve surface phenomena in coatings, printing defects and their remedies, surface tension effects in water-based coatings and printing inks, surface energies of polymer substrates, wettability, aqueous polymeric film coating of pharmaceuticals, flexographic and gravure printing processes, characterization of coating materials, pigment dispersion, wax emulsions for surface modifications, and the role of polymer in particle/surface deposition. '!his edition includes the twenty four selected papers presented in the syrrp:>sium. '!hese papers are divided in three broad categories: (1) Water-Based Inks and Coatings, (2) Emulsions and Adhesion in Coatings, and (3) Characterization of Coating and Printing Materials. Several types of coating and printing on different substrates using water-based fonnulations with special reference to surface phenomena and particle technology are described in these sections. This proceedings vo1tnne includes discussions of various processes occuring at llIOlecular, microscopic, and macroscopic levels in water-based coatings and printing processes.

## Transport Phenomena in Complex Fluids

Author | : Teodor Burghelea,Volfango Bertola |

Publsiher | : Springer Nature |

Total Pages | : 392 |

Release | : 2019-12-10 |

ISBN 10 | : 3030355586 |

ISBN 13 | : 9783030355586 |

Language | : EN, FR, DE, ES & NL |

**Transport Phenomena in Complex Fluids Book Review:**

This book provides a thorough overview of transport phenomena in complex fluids, based on the latest research results and the newest methods for their analytical prediction and numerical simulation. The respective chapters cover several topics, including: a description of the structural features of the most common complex fluids (polymer and surfactant solutions, colloidal suspensions); an introduction to the most common non-Newtonian constitutive models and their relationship with the fluid microstructure; a detailed overview of the experimental methods used to characterise the thermophysical properties, bulk rheology, and surface properties of complex fluids; a comprehensive introduction to heat, mass, and momentum transport, and to hydrodynamic instabilities in complex fluids; and an introduction to state-of-the-art numerical methods used to simulate complex fluid flows, with a focus on the Smoothed Particle Hydrodynamics (SPH) and the Dissipative Particle Dynamics (DPD) techniques. Subsequent chapters provide in-depth descriptions of phenomena such as thermal convection, elastic turbulence, mixing of complex fluids, thermophoresis, sedimentation, and non-Newtonian drops and sprays. The book addresses research scientists and professionals, engineers, R&D managers and graduate students in the fields of engineering, chemistry, biology, medicine, and the applied and fundamental sciences.

## Transport Phenomena

Author | : R. Byron Bird,Warren E. Stewart,Edwin N. Lightfoot |

Publsiher | : John Wiley & Sons |

Total Pages | : 905 |

Release | : 2007 |

ISBN 10 | : 0470115394 |

ISBN 13 | : 9780470115398 |

Language | : EN, FR, DE, ES & NL |

**Transport Phenomena Book Review:**

This book presents balanced treatment of transport phenomena and equal emphasis on mass transport, momentum transport and energy transport. It include extensive reference to applications of material covered and the addition of appendices on applied mathematics topics, the Boltzmann equation, and a summary of the basic equations in several coordinate systems. 'Transport phenomena' offers literature citations throughout so you and your students know where to find additional material. It contains - Transport properties in two-phase systems; Boundary-layer theory; Heat and mass transfer coefficients; Dimensional analysis and scaling.