Transport Phenomena In Multiphase Systems

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Transport Phenomena in Multiphase Systems

Author : Hamid Arastoopour
Publisher : Springer Nature
ISBN 13 : 3030685780
Total Pages : 380 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Transport Phenomena in Multiphase Systems by : Hamid Arastoopour

Download or read book Transport Phenomena in Multiphase Systems written by Hamid Arastoopour and published by Springer Nature. This book was released on 2021-08-21 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume fills the need for a textbook presenting basic governing and constitutive equations, followed by several engineering problems on multiphase flow and transport that are not provided in current advanced texts, monographs, or handbooks. The unique emphasis of this book is on the sound formulation of the basic equations describing multiphase transport and how they can be used to design processes in selected industrially important fields. The clear underlying mathematical and physical bases of the interdisciplinary description of multiphase flow and transport are the main themes, along with advances in the kinetic theory for particle flow systems. The book may be used as an upper-level undergraduate or graduate textbook, as a reference by professionals in the design of processes that deal with a variety of multiphase systems, and by practitioners and experts in multiphase science in the area of computational fluid dynamics (CFD) at U.S. national laboratories, international universities, research laboratories and institutions, and in the chemical, pharmaceutical, and petroleum industries. Distinct from other books on multiphase flow, this volume shows clearly how the basic multiphase equations can be used in the design and scale-up of multiphase processes. The authors represent a combination of nearly two centuries of experience and innovative application of multiphase transport representing hundreds of publications and several books. This book serves to encapsulate the essence of their wisdom and insight, and:

Transport Phenomena in Multiphase Systems

Author : Amir Faghri
Publisher : Academic Press
ISBN 13 :
Total Pages : 1072 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Transport Phenomena in Multiphase Systems by : Amir Faghri

Download or read book Transport Phenomena in Multiphase Systems written by Amir Faghri and published by Academic Press. This book was released on 2006 with total page 1072 pages. Available in PDF, EPUB and Kindle. Book excerpt: Engineering students in a wide variety of engineering disciplines from mechanical and chemical to biomedical and materials engineering must master the principles of transport phenomena as an essential tool in analyzing and designing any system or systems wherein momentum, heat and mass are transferred. This textbook was developed to address that need, with a clear presentation of the fundamentals, ample problem sets to reinforce that knowledge, and tangible examples of how this knowledge is put to use in engineering design. Professional engineers, too, will find this book invaluable as reference for everything from heat exchanger design to chemical processing system design and more. * Develops an understanding of the thermal and physical behavior of multiphase systems with phase change, including microscale and porosity, for practical applications in heat transfer, bioengineering, materials science, nuclear engineering, environmental engineering, process engineering, biotechnology and nanotechnology * Brings all three forms of phase change, i.e., liquid vapor, solid liquid and solid vapor, into one volume and describes them from one perspective in the context of fundamental treatment * Presents the generalized integral and differential transport phenomena equations for multi-component multiphase systems in local instance as well as averaging formulations. The molecular approach is also discussed with the connection between microscopic and molecular approaches * Presents basic principles of analyzing transport phenomena in multiphase systems with emphasis on melting, solidification, sublimation, vapor deposition, condensation, evaporation, boiling and two-phase flow heat transfer at the micro and macro levels * Solid/liquid/vapor interfacial phenomena, including the concepts of surface tension, wetting phenomena, disjoining pressure, contact angle, thin films and capillary phenomena, including interfacial balances for mass, species, momentum, and energy for multi-component and multiphase interfaces are discussed * Ample examples and end-of-chapter problems, with Solutions Manual and PowerPoint presentation available to the instructors

Transport Phenomena in Multiphase Systems

Author : João M.P.Q. Delgado
Publisher : Springer
ISBN 13 : 3319910620
Total Pages : 304 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Transport Phenomena in Multiphase Systems by : João M.P.Q. Delgado

Download or read book Transport Phenomena in Multiphase Systems written by João M.P.Q. Delgado and published by Springer. This book was released on 2018-05-09 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a collection of recent contributions in the field of transport phenomena in multiphase systems, namely, heat and mass transfer. It discusses various topics related to the transport phenomenon in engineering (including state-of-the-art, theory and applications) and introduces some of the most important theoretical advances, computational developments and technological applications in multiphase systems domain, providing a self-contained key reference that is appealing to scientists, researchers and engineers alike. At the same time, these topics are relevant to a variety of scientific and engineering disciplines, such as chemical, civil, agricultural, and mechanical engineering.

Transport Phenomena in Multiphase Systems

Author : Amir Faghri
Publisher : Elsevier
ISBN 13 : 0080547680
Total Pages : 1060 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Transport Phenomena in Multiphase Systems by : Amir Faghri

Download or read book Transport Phenomena in Multiphase Systems written by Amir Faghri and published by Elsevier. This book was released on 2006-05-25 with total page 1060 pages. Available in PDF, EPUB and Kindle. Book excerpt: Engineering students in a wide variety of engineering disciplines from mechanical and chemical to biomedical and materials engineering must master the principles of transport phenomena as an essential tool in analyzing and designing any system or systems wherein momentum, heat and mass are transferred. This textbook was developed to address that need, with a clear presentation of the fundamentals, ample problem sets to reinforce that knowledge, and tangible examples of how this knowledge is put to use in engineering design. Professional engineers, too, will find this book invaluable as reference for everything from heat exchanger design to chemical processing system design and more. * Develops an understanding of the thermal and physical behavior of multiphase systems with phase change, including microscale and porosity, for practical applications in heat transfer, bioengineering, materials science, nuclear engineering, environmental engineering, process engineering, biotechnology and nanotechnology * Brings all three forms of phase change, i.e., liquid vapor, solid liquid and solid vapor, into one volume and describes them from one perspective in the context of fundamental treatment * Presents the generalized integral and differential transport phenomena equations for multi-component multiphase systems in local instance as well as averaging formulations. The molecular approach is also discussed with the connection between microscopic and molecular approaches * Presents basic principles of analyzing transport phenomena in multiphase systems with emphasis on melting, solidification, sublimation, vapor deposition, condensation, evaporation, boiling and two-phase flow heat transfer at the micro and macro levels * Solid/liquid/vapor interfacial phenomena, including the concepts of surface tension, wetting phenomena, disjoining pressure, contact angle, thin films and capillary phenomena, including interfacial balances for mass, species, momentum, and energy for multi-component and multiphase interfaces are discussed * Ample examples and end-of-chapter problems, with Solutions Manual and PowerPoint presentation available to the instructors

Transport Phenomena in Multiphase Flows

Author : Roberto Mauri
Publisher : Springer Nature
ISBN 13 : 303128920X
Total Pages : 464 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Transport Phenomena in Multiphase Flows by : Roberto Mauri

Download or read book Transport Phenomena in Multiphase Flows written by Roberto Mauri and published by Springer Nature. This book was released on 2023-06-12 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a thorough presentation of the phenomena related to the transport of mass (with and without electric charge), momentum and energy. It lays all the basic physical principles, and then for the more advanced readers, it offers an in-depth treatment with advanced mathematical derivations and ends with some useful applications of the models and equations in specific settings. The important idea behind the book is to unify all types of transport phenomena, describing them within a common framework in terms of cause and effect, respectively, represented by the driving force and the flux of the transported quantity. The approach and presentation are original in that the book starts with a general description of transport processes, providing the macroscopic balance relations of fluid dynamics and heat and mass transfer, before diving into the mathematical realm of continuum mechanics to derive the microscopic governing equations at the microscopic level. The book is a modular teaching tool and is used either for an introductory or for an advanced graduate course. The last six chapters are of interest to more advanced researchers who might be interested in applications in physics, mechanical engineering or biomedical engineering. In particular, this second edition of the book includes two chapters about electric migration, that is the transport of mass that takes place in a mixture under the action of electro-magnetic fields. Electric migration finds many applications in the modeling of energy storage devices, such as batteries and fuel cells. All chapters are complemented with solved exercises that are essential to complete the learning process.

Transport Phenomena in Single and Multiphase Systems: New Developments at Different Fields

Author : João Delgado
Publisher : Trans Tech Publications Ltd
ISBN 13 : 3035735476
Total Pages : 174 pages
Book Rating : 4.0/5 (357 download)

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Book Synopsis Transport Phenomena in Single and Multiphase Systems: New Developments at Different Fields by : João Delgado

Download or read book Transport Phenomena in Single and Multiphase Systems: New Developments at Different Fields written by João Delgado and published by Trans Tech Publications Ltd. This book was released on 2019-09-10 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, entitled Transport Phenomena in Single and Multiphase Systems: New Developments at Different Fields includes articles that discuss some of the most important theoretical advances, computational developments and technological applications of heat and mass transfer and fluid flow phenomena at different engineering fields.

Special Topics in Transport Phenomena

Author : G. Astarita
Publisher : Elsevier
ISBN 13 : 9780080541549
Total Pages : 428 pages
Book Rating : 4.5/5 (415 download)

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Book Synopsis Special Topics in Transport Phenomena by : G. Astarita

Download or read book Special Topics in Transport Phenomena written by G. Astarita and published by Elsevier. This book was released on 2001-12-21 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a research monograph on transport phenomena. The topics discussed are often mathematically simple, though conceptually complex. The book is written in a colloquial style which a good teacher uses in the classroom. It originates from the author's wealth of teaching experience in this area and incorporates suggestions from colleagues worldwide.

Basic Transport Phenomena in Materials Engineering

Author : Manabu Iguchi
Publisher : Springer Science & Business Media
ISBN 13 : 4431540202
Total Pages : 260 pages
Book Rating : 4.4/5 (315 download)

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Book Synopsis Basic Transport Phenomena in Materials Engineering by : Manabu Iguchi

Download or read book Basic Transport Phenomena in Materials Engineering written by Manabu Iguchi and published by Springer Science & Business Media. This book was released on 2013-09-12 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the basic theory and experimental techniques of transport phenomena in materials processing operations. Such fundamental knowledge is highly useful for researchers and engineers in the field to improve the efficiency of conventional processes or develop novel technology. Divided into four parts, the book comprises 11 chapters describing the principles of momentum transfer, heat transfer, and mass transfer in single phase and multiphase systems. Each chapter includes examples with solutions and exercises to facilitate students’ learning. Diagnostic problems are also provided at the end of each part to assess students’ comprehension of the material. The book is aimed primarily at students in materials science and engineering. However, it can also serve as a useful reference text in chemical engineering as well as an introductory transport phenomena text in mechanical engineering. In addition, researchers and engineers engaged in materials processing operations will find the material useful for the design of experiments and mathematical models in transport phenomena. This volume contains unique features not usually found in traditional transport phenomena texts. It integrates experimental techniques and theory, both of which are required to adequately solve the inherently complex problems in materials processing operations. It takes a holistic approach by considering both single and multiphase systems, augmented with specific practical examples. There is a discussion of flow and heat transfer in microscale systems, which is relevant to the design of modern processes such as fuel cells and compact heat exchangers. Also described are auxiliary relationships including turbulence modeling, interfacial phenomena, rheology, and particulate systems, which are critical to many materials processing operations.

Advances in Transport Phenomena in Porous Media

Author : Jacob Bear
Publisher : Springer Science & Business Media
ISBN 13 : 9400936257
Total Pages : 1018 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Advances in Transport Phenomena in Porous Media by : Jacob Bear

Download or read book Advances in Transport Phenomena in Porous Media written by Jacob Bear and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 1018 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the lectures presented at the NATO ADVANCED STUDY INSTITUTE that took place at Newark, Delaware, U. S. A. , July 14-23, 1985. The objective of this meeting was to present and discuss selected topics associated with transport phenomena in porous media. By their very nature, porous media and phenomena of transport of extensive quantities that take place in them, are very complex. The solid matrix may be rigid, or deformable (elastically, or following some other constitutive relation), the void space may be occupied by one or more fluid phases. Each fluid phase may be composed of more than one component, with the various components capable of interacting among themselves and/or with the solid matrix. The transport process may be isothermal or non-isothermal, with or without phase changes. Porous medium domains in which extensive quantities, such as mass of a fluid phase, component of a fluid phase, or heat of the porous medium as a whole, are being transported occur in the practice in a variety of disciplines.

Numerical Simulation of Multiphase Reactors with Continuous Liquid Phase

Author : Chao Yang
Publisher : Academic Press
ISBN 13 : 0124115799
Total Pages : 320 pages
Book Rating : 4.1/5 (241 download)

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Book Synopsis Numerical Simulation of Multiphase Reactors with Continuous Liquid Phase by : Chao Yang

Download or read book Numerical Simulation of Multiphase Reactors with Continuous Liquid Phase written by Chao Yang and published by Academic Press. This book was released on 2014-09-04 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical simulation of multiphase reactors with continuous liquid phase provides current research and findings in multiphase problems, which will assist researchers and engineers to advance this field. This is an ideal reference book for readers who are interested in design and scale-up of multiphase reactors and crystallizers, and using mathematical model and numerical simulation as tools. Yang and Mao’s book focuses on modeling and numerical applications directly in the chemical, petrochemical, and hydrometallurgical industries, rather than theories of multiphase flow. The content will help you to solve reacting flow problems and/or system design/optimization problems. The fundamentals and principles of flow and mass transfer in multiphase reactors with continuous liquid phase are covered, which will aid the reader’s understanding of multiphase reaction engineering. Provides practical applications for using multiphase stirred tanks, reactors, and microreactors, with detailed explanation of investigation methods. Presents the most recent research efforts in this highly active field on multiphase reactors and crystallizers. Covers mathematical models, numerical methods and experimental techniques for multiphase flow and mass transfer in reactors and crystallizers.

Mass Transfer with Chemical Reaction in Multiphase Systems

Author : E. Alper
Publisher : Springer Science & Business Media
ISBN 13 : 9401569002
Total Pages : 1079 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Mass Transfer with Chemical Reaction in Multiphase Systems by : E. Alper

Download or read book Mass Transfer with Chemical Reaction in Multiphase Systems written by E. Alper and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 1079 pages. Available in PDF, EPUB and Kindle. Book excerpt: The phenomenon of "mass transfer with chemical reaction" takes place whenever one phase is brought into contact with one or more other phases not in chemical equilibrium with it. This phenomenon has industrial, biological and physiological importance. In chemical process engineering, it is encountered in both separ ation processes and reaction engineering. In some cases, a chemical reaction may deliberately be employed for speeding up the rate of mass transfer and/or for increasing the capacity of the solvent; in other cases the multiphase reaction system is a part of the process with the specific aim of product formation. Finally, in some cases, for instance "distillation with chemical reaction", both objectives are involved. Although the subject is clearly a chemical engineering undertakin~, it requires often a good understanding of other subjects, such as chemistry and fluid mechanics etc., leading to publications in diversified areas. On the other har.d, the subject has always been a major field and one of the most fruitful for chemical engineers.

Transport Phenomena in Microfluidic Systems

Author : Pradipta Kumar Panigrahi
Publisher : John Wiley & Sons
ISBN 13 : 1118298411
Total Pages : 554 pages
Book Rating : 4.1/5 (182 download)

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Book Synopsis Transport Phenomena in Microfluidic Systems by : Pradipta Kumar Panigrahi

Download or read book Transport Phenomena in Microfluidic Systems written by Pradipta Kumar Panigrahi and published by John Wiley & Sons. This book was released on 2016-02-15 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Computational Models for Polydisperse Particulate and Multiphase Systems

Author : Daniele L. Marchisio
Publisher : Cambridge University Press
ISBN 13 : 1107328179
Total Pages : pages
Book Rating : 4.1/5 (73 download)

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Book Synopsis Computational Models for Polydisperse Particulate and Multiphase Systems by : Daniele L. Marchisio

Download or read book Computational Models for Polydisperse Particulate and Multiphase Systems written by Daniele L. Marchisio and published by Cambridge University Press. This book was released on 2013-03-28 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing a clear description of the theory of polydisperse multiphase flows, with emphasis on the mesoscale modelling approach and its relationship with microscale and macroscale models, this all-inclusive introduction is ideal whether you are working in industry or academia. Theory is linked to practice through discussions of key real-world cases (particle/droplet/bubble coalescence, break-up, nucleation, advection and diffusion and physical- and phase-space), providing valuable experience in simulating systems that can be applied to your own applications. Practical cases of QMOM, DQMOM, CQMOM, EQMOM and ECQMOM are also discussed and compared, as are realizable finite-volume methods. This provides the tools you need to use quadrature-based moment methods, choose from the many available options, and design high-order numerical methods that guarantee realizable moment sets. In addition to the numerous practical examples, MATLAB scripts for several algorithms are also provided, so you can apply the methods described to practical problems straight away.

Mass Transfer in Multiphase Systems and Its Applications

Author : Sunan Metharom
Publisher :
ISBN 13 : 9781681175201
Total Pages : 306 pages
Book Rating : 4.1/5 (752 download)

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Book Synopsis Mass Transfer in Multiphase Systems and Its Applications by : Sunan Metharom

Download or read book Mass Transfer in Multiphase Systems and Its Applications written by Sunan Metharom and published by . This book was released on 2016-08-01 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Mass transfer describes the transport of mass from one point to another and is one of the main pillars in the subject of transport phenomena. Mass transfer may take place in a single phase or over phase boundaries in multiphase systems. In the vast majority of engineering problems, mass transfer involves at least one fluid phase (gas or liquid), although it may also be described in solid-phase materials. The theory of mass transfer permits for the computation of mass flux in a system and the distribution of the mass of different species over time and space in such a system, also when chemical reactions are present. The purpose of such computations is to understand, and possibly design or control, such a system. Mass Transfer in Multiphase Systems and its Applications covers a number of emerging topics in mass transfer processes in multiphase systems for a range of applications. The book efficiently blends theoretical, numerical, modeling and experimental aspects of mass transfer in multiphase systems that are typically encountered in many research areas e.g. chemical, reactor, environmental and petroleum engineering. This book serves as an important tool for any researcher or engineer working in the field of mass transfer and related topics.

Multiphase Flow and Fluidization

Author : Dimitri Gidaspow
Publisher : Elsevier
ISBN 13 : 0080512267
Total Pages : 467 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Multiphase Flow and Fluidization by : Dimitri Gidaspow

Download or read book Multiphase Flow and Fluidization written by Dimitri Gidaspow and published by Elsevier. This book was released on 2012-12-02 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: Useful as a reference for engineers in industry and as an advanced level text for graduate engineering students, Multiphase Flow and Fluidization takes the reader beyond the theoretical to demonstrate how multiphase flow equations can be used to provide applied, practical, predictive solutions to industrial fluidization problems. Written to help advance progress in the emerging science of multiphase flow, this book begins with the development of the conservation laws and moves on through kinetic theory, clarifying many physical concepts (such as particulate viscosity and solids pressure) and introducing the new dependent variable--the volume fraction of the dispersed phase. Exercises at the end of each chapterare provided for further study and lead into applications not covered in the text itself. Treats fluidization as a branch of transport phenomena Demonstrates how to do transient, multidimensional simulation of multiphase processes The first book to apply kinetic theory to flow of particulates Is the only book to discuss numerical stability of multiphase equations and whether or not such equations are well-posed Explains the origin of bubbles and the concept of critical granular flow Presents clearly written exercises at the end of each chapter to facilitate understanding and further study

Transport Phenomena

Author : Larry A. Glasgow
Publisher : John Wiley & Sons
ISBN 13 : 1118031776
Total Pages : 519 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Transport Phenomena by : Larry A. Glasgow

Download or read book Transport Phenomena written by Larry A. Glasgow and published by John Wiley & Sons. This book was released on 2010-12-01 with total page 519 pages. Available in PDF, EPUB and Kindle. Book excerpt: Enables readers to apply transport phenomena principles to solve advanced problems in all areas of engineering and science This book helps readers elevate their understanding of, and their ability to apply, transport phenomena by introducing a broad range of advanced topics as well as analytical and numerical solution techniques. Readers gain the ability to solve complex problems generally not addressed in undergraduate-level courses, including nonlinear, multidimensional transport, and transient molecular and convective transport scenarios. Avoiding rote memorization, the author emphasizes a dual approach to learning in which physical understanding and problem-solving capability are developed simultaneously. Moreover, the author builds both readers' interest and knowledge by: Demonstrating that transport phenomena are pervasive, affecting every aspect of life Offering historical perspectives to enhance readers' understanding of current theory and methods Providing numerous examples drawn from a broad range of fields in the physical and life sciences and engineering Contextualizing problems in scenarios so that their rationale and significance are clear This text generally avoids the use of commercial software for problem solutions, helping readers cultivate a deeper understanding of how solutions are developed. References throughout the text promote further study and encourage the student to contemplate additional topics in transport phenomena. Transport Phenomena is written for advanced undergraduates and graduate students in chemical and mechanical engineering. Upon mastering the principles and techniques presented in this text, all readers will be better able to critically evaluate a broad range of physical phenomena, processes, and systems across many disciplines.

Fundamentals of Multiphase Heat Transfer and Flow

Author : Amir Faghri
Publisher : Springer Nature
ISBN 13 : 3030221377
Total Pages : 820 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Fundamentals of Multiphase Heat Transfer and Flow by : Amir Faghri

Download or read book Fundamentals of Multiphase Heat Transfer and Flow written by Amir Faghri and published by Springer Nature. This book was released on 2019-09-13 with total page 820 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook presents a modern treatment of fundamentals of heat and mass transfer in the context of all types of multiphase flows with possibility of phase-changes among solid, liquid and vapor. It serves equally as a textbook for undergraduate senior and graduate students in a wide variety of engineering disciplines including mechanical engineering, chemical engineering, material science and engineering, nuclear engineering, biomedical engineering, and environmental engineering. Multiphase Heat Transfer and Flow can also be used to teach contemporary and novel applications of heat and mass transfer. Concepts are reinforced with numerous examples and end-of-chapter problems. A solutions manual and PowerPoint presentation are available to instructors. While the book is designed for students, it is also very useful for practicing engineers working in technical areas related to both macro- and micro-scale systems that emphasize multiphase, multicomponent, and non-conventional geometries with coupled heat and mass transfer and phase change, with the possibility of full numerical simulation.