Finite Element And Finite Volume Methods For Heat Transfer And Fluid Dynamics

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Finite Element and Finite Volume Methods for Heat Transfer and Fluid Dynamics

Author : J. N. Reddy,N. K. Anand,P. Roy
Publisher : Cambridge University Press
Page : 406 pages
File Size : 42,9 Mb
Release : 2022-10-27
Category : Technology & Engineering
ISBN : 9781009275446

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Finite Element and Finite Volume Methods for Heat Transfer and Fluid Dynamics by J. N. Reddy,N. K. Anand,P. Roy Pdf

Introduces the two most common numerical methods for heat transfer and fluid dynamics equations, using clear and accessible language. This unique approach covers all necessary mathematical preliminaries at the beginning of the book for the reader to sail smoothly through the chapters. Students will work step-by-step through the most common benchmark heat transfer and fluid dynamics problems, firmly grounding themselves in how the governing equations are discretized, how boundary conditions are imposed, and how the resulting algebraic equations are solved. Providing a detailed discussion of the discretization steps and time approximations, and clearly presenting concepts of explicit and implicit formulations, this graduate textbook has everything an instructor needs to prepare students for their exams and future careers. Each illustrative example shows students how to draw comparisons between the results obtained using the two numerical methods, and at the end of each chapter they can test and extend their understanding by working through the problems provided. A solutions manual is also available for instructors.

The Finite Element Method in Heat Transfer and Fluid Dynamics, Third Edition

Author : J. N. Reddy,D.K. Gartling
Publisher : CRC Press
Page : 515 pages
File Size : 53,6 Mb
Release : 2010-04-06
Category : Science
ISBN : 9781420085983

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The Finite Element Method in Heat Transfer and Fluid Dynamics, Third Edition by J. N. Reddy,D.K. Gartling Pdf

As Computational Fluid Dynamics (CFD) and Computational Heat Transfer (CHT) evolve and become increasingly important in standard engineering design and analysis practice, users require a solid understanding of mechanics and numerical methods to make optimal use of available software. The Finite Element Method in Heat Transfer and Fluid Dynamics, Third Edition illustrates what a user must know to ensure the optimal application of computational procedures—particularly the Finite Element Method (FEM)—to important problems associated with heat conduction, incompressible viscous flows, and convection heat transfer. This book follows the tradition of the bestselling previous editions, noted for their concise explanation and powerful presentation of useful methodology tailored for use in simulating CFD and CHT. The authors update research developments while retaining the previous editions’ key material and popular style in regard to text organization, equation numbering, references, and symbols. This updated third edition features new or extended coverage of: Coupled problems and parallel processing Mathematical preliminaries and low-speed compressible flows Mode superposition methods and a more detailed account of radiation solution methods Variational multi-scale methods (VMM) and least-squares finite element models (LSFEM) Application of the finite element method to non-isothermal flows Formulation of low-speed, compressible flows With its presentation of realistic, applied examples of FEM in thermal and fluid design analysis, this proven masterwork is an invaluable tool for mastering basic methodology, competently using existing simulation software, and developing simpler special-purpose computer codes. It remains one of the very best resources for understanding numerical methods used in the study of fluid mechanics and heat transfer phenomena.

Fundamentals of the Finite Element Method for Heat and Fluid Flow

Author : Roland W. Lewis,Perumal Nithiarasu,Kankanhalli N. Seetharamu
Publisher : John Wiley and Sons
Page : 357 pages
File Size : 54,6 Mb
Release : 2008-02-07
Category : Science
ISBN : 9780470346389

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Fundamentals of the Finite Element Method for Heat and Fluid Flow by Roland W. Lewis,Perumal Nithiarasu,Kankanhalli N. Seetharamu Pdf

Heat transfer is the area of engineering science which describes the energy transport between material bodies due to a difference in temperature. The three different modes of heat transport are conduction, convection and radiation. In most problems, these three modes exist simultaneously. However, the significance of these modes depends on the problems studied and often, insignificant modes are neglected. Very often books published on Computational Fluid Dynamics using the Finite Element Method give very little or no significance to thermal or heat transfer problems. From the research point of view, it is important to explain the handling of various types of heat transfer problems with different types of complex boundary conditions. Problems with slow fluid motion and heat transfer can be difficult problems to handle. Therefore, the complexity of combined fluid flow and heat transfer problems should not be underestimated and should be dealt with carefully. This book: Is ideal for teaching senior undergraduates the fundamentals of how to use the Finite Element Method to solve heat transfer and fluid dynamics problems Explains how to solve various heat transfer problems with different types of boundary conditions Uses recent computational methods and codes to handle complex fluid motion and heat transfer problems Includes a large number of examples and exercises on heat transfer problems In an era of parallel computing, computational efficiency and easy to handle codes play a major part. Bearing all these points in mind, the topics covered on combined flow and heat transfer in this book will be an asset for practising engineers and postgraduate students. Other topics of interest for the heat transfer community, such as heat exchangers and radiation heat transfer, are also included.

Discontinuous Finite Elements in Fluid Dynamics and Heat Transfer

Author : Ben Q. Li
Publisher : Springer Science & Business Media
Page : 587 pages
File Size : 44,5 Mb
Release : 2006-06-29
Category : Technology & Engineering
ISBN : 9781846282058

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Discontinuous Finite Elements in Fluid Dynamics and Heat Transfer by Ben Q. Li Pdf

Over the past several years, significant advances have been made in developing the discontinuous Galerkin finite element method for applications in fluid flow and heat transfer. Certain unique features of the method have made it attractive as an alternative for other popular methods such as finite volume and finite elements in thermal fluids engineering analyses. This book is written as an introductory textbook on the discontinuous finite element method for senior undergraduate and graduate students in the area of thermal science and fluid dynamics. It also can be used as a reference book for researchers and engineers who intend to use the method for research in computational fluid dynamics and heat transfer. A good portion of this book has been used in a course for computational fluid dynamics and heat transfer for senior undergraduate and first year graduate students. It also has been used by some graduate students for self-study of the basics of discontinuous finite elements. This monograph assumes that readers have a basic understanding of thermodynamics, fluid mechanics and heat transfer and some background in numerical analysis. Knowledge of continuous finite elements is not necessary but will be helpful. The book covers the application of the method for the simulation of both macroscopic and micro/nanoscale fluid flow and heat transfer phenomena.

The Finite Element Method with Heat Transfer and Fluid Mechanics Applications

Author : Erian A. Baskharone
Publisher : Cambridge University Press
Page : 393 pages
File Size : 43,8 Mb
Release : 2014
Category : Mathematics
ISBN : 9781107039810

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The Finite Element Method with Heat Transfer and Fluid Mechanics Applications by Erian A. Baskharone Pdf

This textbook begins with the finite element method (FEM) before focusing on FEM in heat transfer and fluid mechanics.

Computational Fluid Dynamics

Author : T. J. Chung
Publisher : Cambridge University Press
Page : 1040 pages
File Size : 46,5 Mb
Release : 2002-02-07
Category : Juvenile Nonfiction
ISBN : 0521594162

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Computational Fluid Dynamics by T. J. Chung Pdf

Increasingly, computational fluid dynamics (CFD) techniques are being used to study and solve complex fluid flow and heat transfer problems. This comprehensive book ranges from elementary concepts for the beginner to state-of-the-art CFD for the practitioner. It begins with CFD preliminaries, in which the basic principles of finite difference (FD), finite element (FE), and finite volume (FV) methods are discussed and illustrated through examples, with step-by-step hand calculations. Then, FD and FE methods respectively are covered, including both historical developments and recent contributions. The next section is devoted to structured and unstructured grids, adaptive methods, computing techniques, and parallel processing. Finally, the author describes a variety of practical applications to problems in turbulence, reacting flows and combustion, acoustics, combined mode radiative heat transfer, multiphase flows, electromagnetic fields, and relativistic astrophysical flows. Students and practitioners - particularly in mechanical, aerospace, chemical, and civil engineering - will use this authoritative text to learn about and apply numerical techniques to the solution of fluid dynamics problems.

Fundamentals of the Finite Element Method for Heat and Mass Transfer

Author : Perumal Nithiarasu,Roland W. Lewis,Kankanhalli N. Seetharamu
Publisher : John Wiley & Sons
Page : 464 pages
File Size : 42,5 Mb
Release : 2016-01-27
Category : Science
ISBN : 9781118535431

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Fundamentals of the Finite Element Method for Heat and Mass Transfer by Perumal Nithiarasu,Roland W. Lewis,Kankanhalli N. Seetharamu Pdf

Fundamentals of the Finite Element Method for Heat and Mass Transfer, Second Edition is a comprehensively updated new edition and is a unique book on the application of the finite element method to heat and mass transfer. • Addresses fundamentals, applications and computer implementation • Educational computer codes are freely available to download, modify and use • Includes a large number of worked examples and exercises • Fills the gap between learning and research

Numerical Heat Transfer and Fluid Flow

Author : Suhas Patankar
Publisher : CRC Press
Page : 218 pages
File Size : 54,6 Mb
Release : 2018-10-08
Category : Science
ISBN : 9781351991513

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Numerical Heat Transfer and Fluid Flow by Suhas Patankar Pdf

This book focuses on heat and mass transfer, fluid flow, chemical reaction, and other related processes that occur in engineering equipment, the natural environment, and living organisms. Using simple algebra and elementary calculus, the author develops numerical methods for predicting these processes mainly based on physical considerations. Through this approach, readers will develop a deeper understanding of the underlying physical aspects of heat transfer and fluid flow as well as improve their ability to analyze and interpret computed results.

The Intermediate Finite Element Method

Author : DarrellW. Pepper
Publisher : Routledge
Page : 330 pages
File Size : 42,7 Mb
Release : 2017-11-01
Category : Science
ISBN : 9781351410113

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The Intermediate Finite Element Method by DarrellW. Pepper Pdf

This book is a follow-up to the introductory text written by the same authors. The primary emphasis on this book is linear and nonlinear partial differential equations with particular concentration on the equations of viscous fluid motion. Each chapter describes a particular application of the finite element method and illustrates the concepts through example problems. A comprehensive appendix lists computer codes for 2-D fluid flow and two 3-D transient codes.

An Introduction to Finite Element, Boundary Element, and Meshless Methods with Applications to Heat Transfer and Fluid Flow

Author : Darrell W. Pepper,Alain J. Kassab,E. Divo
Publisher : American Society of Mechanical Engineers
Page : 0 pages
File Size : 46,8 Mb
Release : 2014
Category : Boundary element methods
ISBN : 0791860337

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An Introduction to Finite Element, Boundary Element, and Meshless Methods with Applications to Heat Transfer and Fluid Flow by Darrell W. Pepper,Alain J. Kassab,E. Divo Pdf

When students once master the concepts of the finite element method (and meshing), it's not long before they begin to look at other numerical techniques and applications, especially the boundary element and meshless methods (since a mesh is not required). The expert authors of this book provide a simple explanation of these three powerful numerical schemes and show how they all fall under the umbrella of the more universal method of weighted residuals. The book is structured in four sections. The first introductory section provides the method of weighted residuals development of finite differences, finite volume, finite element, boundary element, and meshless methods along with 1D examples of each method. The following three sections of the book present a more detailed development of the finite element method, then progress through the boundary element method, and end with meshless methods. Each section serves as a stand-alone description, but it is apparent how each conveniently leads to the other techniques. It is recommended that the reader begin with the finite element method, as this serves as the primary basis for defining the method of weighted residuals. Computer files in both MathCad and MATLAB are available from the fbm.centecorp.com website, along with example data files.

Finite Element Methods for Computational Fluid Dynamics

Author : Dmitri Kuzmin,Jari Hamalainen
Publisher : SIAM
Page : 321 pages
File Size : 47,9 Mb
Release : 2014-12-18
Category : Science
ISBN : 9781611973600

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Finite Element Methods for Computational Fluid Dynamics by Dmitri Kuzmin,Jari Hamalainen Pdf

This informal introduction to computational fluid dynamics and practical guide to numerical simulation of transport phenomena covers the derivation of the governing equations, construction of finite element approximations, and qualitative properties of numerical solutions, among other topics. To make the book accessible to readers with diverse interests and backgrounds, the authors begin at a basic level and advance to numerical tools for increasingly difficult flow problems, emphasizing practical implementation rather than mathematical theory.?Finite Element Methods for Computational Fluid Dynamics: A Practical Guide?explains the basics of the finite element method (FEM) in the context of simple model problems, illustrated by numerical examples. It comprehensively reviews stabilization techniques for convection-dominated transport problems, introducing the reader to streamline diffusion methods, Petrov?Galerkin approximations, Taylor?Galerkin schemes, flux-corrected transport algorithms, and other nonlinear high-resolution schemes, and covers Petrov?Galerkin stabilization, classical projection schemes, Schur complement solvers, and the implementation of the k-epsilon turbulence model in its presentation of the FEM for incompressible flow problem. The book also describes the open-source finite element library ELMER, which is recommended as a software development kit for advanced applications in an online component.?

Numerical Heat Transfer and Fluid Flow

Author : D. Srinivasacharya,K. Srinivas Reddy
Publisher : Springer
Page : 657 pages
File Size : 41,5 Mb
Release : 2018-12-13
Category : Technology & Engineering
ISBN : 9789811319037

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Numerical Heat Transfer and Fluid Flow by D. Srinivasacharya,K. Srinivas Reddy Pdf

This book comprises selected papers from the International Conference on Numerical Heat Transfer and Fluid Flow (NHTFF 2018), and presents the latest developments in computational methods in heat and mass transfer. It also discusses numerical methods such as finite element, finite difference, and finite volume applied to fluid flow problems. Providing a good balance between computational methods and analytical results applied to a wide variety of problems in heat transfer, transport and fluid mechanics, the book is a valuable resource for students and researchers working in the field of heat transfer and fluid dynamics.

Computational Fluid Dynamics and Heat Transfer

Author : Ryoichi Amano,Bengt Sundén
Publisher : WIT Press
Page : 513 pages
File Size : 40,6 Mb
Release : 2011
Category : Technology & Engineering
ISBN : 9781845641443

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Computational Fluid Dynamics and Heat Transfer by Ryoichi Amano,Bengt Sundén Pdf

Heat transfer and fluid flow issues are of great significance and this state-of-the-art edited book with reference to new and innovative numerical methods will make a contribution for researchers in academia and research organizations, as well as industrial scientists and college students. The book provides comprehensive chapters on research and developments in emerging topics in computational methods, e.g., the finite volume method, finite element method as well as turbulent flow computational methods. Fundamentals of the numerical methods, comparison of various higher-order schemes for convection-diffusion terms, turbulence modeling, the pressure-velocity coupling, mesh generation and the handling of arbitrary geometries are presented. Results from engineering applications are provided. Chapters have been co-authored by eminent researchers.

Computational Methods for Heat and Mass Transfer

Author : Pradip Majumdar
Publisher : Taylor & Francis
Page : 744 pages
File Size : 45,7 Mb
Release : 2005-09-28
Category : Science
ISBN : 9781439894408

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Computational Methods for Heat and Mass Transfer by Pradip Majumdar Pdf

The advent of high-speed computers has encouraged a growing demand for newly graduated engineers to possess the basic skills of computational methods for heat and mass transfer and fluid dynamics. Computational fluid dynamics and heat transfer, as well as finite element codes, are standard tools in the computer-aided design and analysis of processe

An Introduction to Computational Fluid Dynamics

Author : Henk Kaarle Versteeg,Weeratunge Malalasekera
Publisher : Pearson Education
Page : 530 pages
File Size : 44,8 Mb
Release : 2007
Category : Mathematics
ISBN : 0131274988

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An Introduction to Computational Fluid Dynamics by Henk Kaarle Versteeg,Weeratunge Malalasekera Pdf

This book presents the fundamentals of computational fluid dynamics for the novice. It provides a thorough yet user-friendly introduction to the governing equations and boundary conditions of viscous fluid flows and its modelling.