The Finite Element Method in Heat Transfer Analysis

The Finite Element Method in Heat Transfer Analysis

Author: Roland W. Lewis

Publisher: John Wiley & Sons

Published: 1996-08-06

Total Pages: 296

ISBN-13: 9780471943624

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Heat transfer analysis is a problem of major significance in a vast range of industrial applications. These extend over the fields of mechanical engineering, aeronautical engineering, chemical engineering and numerous applications in civil and electrical engineering. If one considers the heat conduction equation alone the number of practical problems amenable to solution is extensive. Expansion of the work to include features such as phase change, coupled heat and mass transfer, and thermal stress analysis provides the engineer with the capability to address a further series of key engineering problems. The complexity of practical problems is such that closed form solutions are not generally possible. The use of numerical techniques to solve such problems is therefore considered essential, and this book presents the use of the powerful finite element method in heat transfer analysis. Starting with the fundamental general heat conduction equation, the book moves on to consider the solution of linear steady state heat conduction problems, transient analyses and non-linear examples. Problems of melting and solidification are then considered at length followed by a chapter on convection. The application of heat and mass transfer to drying problems and the calculation of both thermal and shrinkage stresses conclude the book. Numerical examples are used to illustrate the basic concepts introduced. This book is the outcome of the teaching and research experience of the authors over a period of more than 20 years.


The Finite Element Method for Three-Dimensional Thermomechanical Applications

The Finite Element Method for Three-Dimensional Thermomechanical Applications

Author: Guido Dhondt

Publisher: John Wiley & Sons

Published: 2004-11-19

Total Pages: 362

ISBN-13: 0470857625

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Though many 'finite element' books exist, this book provides a unique focus on developing the method for three-dimensional, industrial problems. This is significant as many methods which work well for small applications fail for large scale problems, which generally: are not so well posed introduce stringent computer time conditions require robust solution techniques. Starting from sound continuum mechanics principles, derivation in this book focuses only on proven methods. Coverage of all different aspects of linear and nonlinear thermal mechanical problems in solids are described, thereby avoiding distracting the reader with extraneous solutions paths. Emphasis is put on consistent representation and includes the examination of topics which are not frequently found in other texts, such as cyclic symmetry, rigid body motion and nonlinear multiple point constraints. Advanced material formulations include anisotropic hyperelasticity, large strain multiplicative viscoplasticity and single crystal viscoplasticity. Finally, the methods described in the book are implemented in the finite element software CalculiX, which is freely available (www.calculix.de; the GNU General Public License applies). Suited to industry practitioners and academic researchers alike, The Finite Element Method for Three-Dimensional Thermomechanical Applications expertly bridges the gap between continuum mechanics and the finite element method.


Finite Element Analysis for Heat Transfer

Finite Element Analysis for Heat Transfer

Author: Hou-Cheng Huang

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 205

ISBN-13: 1447120914

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This text presents an introduction to the application of the finite ele ment method to the analysis of heat transfer problems. The discussion has been limited to diffusion and convection type of heat transfer in solids and fluids. The main motivation of writing this book stems from two facts. Firstly, we have not come across any other text which provides an intro duction to the finite element method (FEM) solely from a heat transfer perspective. Most introductory texts attempt to teach FEM from a struc tural engineering background, which may distract non-structural engineers from pursuing this important subject with full enthusiasm. We feel that our approach provides a better alternative for non-structural engineers. Secondly, for people who are interested in using FEM for heat transfer, we have attempted to cover a wide range of topics, presenting the essential the ory and full implementational details including two FORTRAN programs. In addition to the basic FEM heat transfer concepts and implementation, we have also presented some modem techniques which are being used to enhance the accuracy and speed of the conventional method. In writing the text we have endeavoured to keep it accessible to persons with qualifications of no more than an engineering graduate. As mentioned earlier this book may be used to learn FEM by beginners, this may include undergraduate students and practicing engineers. However, there is enough advanced material to interest more experienced practitioners.


Engineering Finite Element Analysis

Engineering Finite Element Analysis

Author: Ramana M. Pidaparti

Publisher: Morgan & Claypool Publishers

Published: 2017-05-02

Total Pages: 269

ISBN-13: 1627056874

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Finite element analysis is a basic foundational topic that all engineering majors need to understand in order for them to be productive engineering analysts for a variety of industries. This book provides an introductory treatment of finite element analysis with an overview of the various fundamental concepts and applications. It introduces the basic concepts of the finite element method and examples of analysis using systematic methodologies based on ANSYS software. Finite element concepts involving one-dimensional problems are discussed in detail so the reader can thoroughly comprehend the concepts and progressively build upon those problems to aid in analyzing two-dimensional and three-dimensional problems. Moreover, the analysis processes are listed step-by-step for easy implementation, and an overview of two dimensional and three-dimensional concepts and problems is also provided. In addition, multiphysics problems involving coupled analysis examples are presented to further illustrate the broad applicability of the finite element method for a variety of engineering disciplines. The book is primarily targeted toward undergraduate students majoring in civil, biomedical, mechanical, electrical, and aerospace engineering and any other fields involving aspects of engineering analysis.


Fundamentals of the Finite Element Method for Heat and Fluid Flow

Fundamentals of the Finite Element Method for Heat and Fluid Flow

Author: Roland W. Lewis

Publisher: John Wiley and Sons

Published: 2008-02-07

Total Pages: 357

ISBN-13: 0470346388

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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.


Fundamentals of the Finite Element Method for Heat and Mass Transfer

Fundamentals of the Finite Element Method for Heat and Mass Transfer

Author: Perumal Nithiarasu

Publisher: John Wiley & Sons

Published: 2016-03-07

Total Pages: 467

ISBN-13: 047075625X

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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


Application of the Finite-Element Method to Heat-Transfer Problems. Part I. Finite-Element Method Applied to Heat-Conduction Solids with Nonlinear Boundary Conditions

Application of the Finite-Element Method to Heat-Transfer Problems. Part I. Finite-Element Method Applied to Heat-Conduction Solids with Nonlinear Boundary Conditions

Author: Shih-Chi Chu

Publisher:

Published: 1971

Total Pages: 51

ISBN-13:

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The finite-element method was extended to solid heat conduction with a radiation-convection, nonlinear heat-flux, boundary condition. General finite-element models are developed that enable approximate solutions of transient heat in an arbitrary three-dimensional body subjected to the described initial conditions and nonlinear or linear heat flux across the surfaces of the body. Applications of the present approach involve: (a) heat in a semi-infinite solid with radiation taking place at the surface, (b) transient temperature in a slab subjected to radiation and convection boundary conditions at both surfaces, and (c) heat transfer of a small-caliber multilayer gun tube subjected to time-dependent heat convection and radiation boundary conditions under automatic firing situations. Numerical solutions to the first and the second problem are compared with the exact solution and with results obtained by use of the probability method. (Author).


Finite Elements Methods in Mechanics

Finite Elements Methods in Mechanics

Author: M. Reza Eslami

Publisher: Springer

Published: 2014-06-24

Total Pages: 378

ISBN-13: 3319080377

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This book covers all basic areas of mechanical engineering, such as fluid mechanics, heat conduction, beams and elasticity with detailed derivations for the mass, stiffness and force matrices. It is especially designed to give physical feeling to the reader for finite element approximation by the introduction of finite elements to the elevation of elastic membrane. A detailed treatment of computer methods with numerical examples are provided. In the fluid mechanics chapter, the conventional and vorticity transport formulations for viscous incompressible fluid flow with discussion on the method of solution are presented. The variational and Galerkin formulations of the heat conduction, beams and elasticity problems are also discussed in detail. Three computer codes are provided to solve the elastic membrane problem. One of them solves the Poisson’s equation. The second computer program handles the two dimensional elasticity problems and the third one presents the three dimensional transient heat conduction problems. The programs are written in C++ environment.