Download or read book Finite Element Analysis of Three dimensional Heat Transfer for Problems Involving Sharp Thermal Gradients written by Patrick James O'Hara and published by . This book was released on 2007 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fundamentals of the Finite Element Method for Heat and Fluid Flow written by Roland W. Lewis and published by John Wiley and Sons. This book was released on 2008-02-07 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Finite Element Method in Heat Transfer Analysis written by Roland W. Lewis and published by John Wiley & Sons. This book was released on 1996-08-06 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Finite Element Analysis In Heat Transfer written by Gianni Comini and published by CRC Press. This book was released on 2018-10-08 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introductory text presents the applications of the finite element method to the analysis of conduction and convection problems. The book is divided into seven chapters which include basic ideas, application of these ideas to relevant problems, and development of solutions. Important concepts are illustrated with examples. Computer problems are also included to facilitate the types of solutions discussed.
Download or read book The Finite Element Method for Three Dimensional Thermomechanical Applications written by Guido Dhondt and published by John Wiley & Sons. This book was released on 2004-11-19 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Finite Element Method with Heat Transfer and Fluid Mechanics Applications written by Erian A. Baskharone and published by Cambridge University Press. This book was released on 2014 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook begins with the finite element method (FEM) before focusing on FEM in heat transfer and fluid mechanics.
Download or read book Advances In Numerical Heat Transfer written by W. Minkowycz and published by CRC Press. This book was released on 1996-11-01 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first volume in the series. It analyzes several fundamental methodology issues in numerical heat transfer and fluid flow and identifies certain areas of active application. The finite-volume approach is presented with the finite-element methods as well as with energy balance analysis. Applications include the latest development in turbulence modeling and current approaches to inverse problems.
Download or read book Feat3d a finite element computer code for three dimensional heat conduction analysis program description written by A. Banas and published by . This book was released on 1982 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Feat3d (finite element analysis of temperatures in three dimensions) is a computer program developed to predict the steady state temperature distribution in a general three-dimensional heat conducting system. it employs the finite element solution technique for the linear heat conduction problems. the numerical formulation handles nonhomogeneities caused by space dependence of thermal conductivity and internal heat generation in the system, as well as varying conditions along the system's boundary. at present, temperature independent conductivity, internal heat generation, heat fluxes through the system's boundary and heat transfer coefficients are allowed. they render a linear system of equations expressing the condition of thermal equilibrium of the system under consideration. this report describes the theory underlying the problem formulation and solution method, together with some implementation details. a separate report contains user instructions, as well as examples illustrating input preparation and output interpretation.
Download or read book Finite Element Analysis for Heat Transfer written by Hou-Cheng Huang and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Finite Element Simulation of Heat Transfer written by Jean-Michel Bergheau and published by John Wiley & Sons. This book was released on 2013-03-01 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the finite element method applied to the resolution of industrial heat transfer problems. Starting from steady conduction, the method is gradually extended to transient regimes, to traditional non-linearities, and to convective phenomena. Coupled problems involving heat transfer are then presented. Three types of couplings are discussed: coupling through boundary conditions (such as radiative heat transfer in cavities), addition of state variables (such as metallurgical phase change), and coupling through partial differential equations (such as electrical phenomena). A review of the various thermal phenomena is drawn up, which an engineer can simulate. The methods presented will enable the reader to achieve optimal use from finite element software and also to develop new applications.
Download or read book The Finite Element Method in Heat Transfer and Fluid Dynamics Third Edition written by J. N. Reddy and published by CRC Press. This book was released on 2010-04-06 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book H3DTAP Version 1 written by and published by . This book was released on 1991 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt: The finite element code H3DTAP version 1 is a general 3-dimensional heat transfer and diffusion analysis package developed at Ontario Hydro. The code was developed because commercially available numerical analysis software does not address many of the corporation's highly specialized problems involving nonlinear heat transfer and molecular diffusion. This report outlines the analytical capabilities of H3DTAP, and presents the pertinent theory underlying the numerical methods used in the program. A users' manual is also included describing the format of the input data required in the program.
Download or read book Fundamentals of the Finite Element Method for Heat and Mass Transfer written by Perumal Nithiarasu and published by John Wiley & Sons. This book was released on 2016-01-27 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book A Multi scale Generalized Finite Element Method for Sharp Transient Thermal Gradients written by Patrick J. O'Hara and published by . This book was released on 2010 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: In this research, heat transfer problems exhibiting sharp thermal gradients are analyzed using the generalized finite element method. Convergence studies show that low order (linear and quadratic) elements require strongly refined meshes for acceptable accuracy. The high mesh density leads to small allowable time-step sizes, and significant increase in the computational cost. When mesh refinement and unrefinement is required between time-steps the mapping of solution vectors and state-dependent variables becomes difficult. A generalized FEM with global-local enrichments is proposed for the class of problems investigated in this research. In this procedure, a global solution space defined on a coarse mesh is enriched through the partition of unity framework of the generalized FEM with solutions of local boundary value problems. The local problems are defined using the same procedure as in the global-local FEM, where boundary conditions are provided by a coarse-scale global solution. Coarse, uniform, global meshes are acceptable even at regions with thermal spikes that are orders of magnitude smaller than the element size. Convergence on these discretizations is achieved even when no or limited convergence is observed in the local problems. The two-way information transfer provided by the proposed generalized FEM is appealing to several classes of problems, especially those involving multiple spatial scales. The proposed methodology brings the benefits of generalized FEM to problems where limited or no information about the solution is known a-priori. The proposed methodology is formulated for, and applied to transient problems, where local domains at time t^{n+1} obtain their boundary conditions from the global domain at t^{n}. No transient effects need to be considered in the local domain. The method has shown the ability to produce accurate and efficient transient simulations in situations where traditional FEM analyses would lead to difficult re-meshing, and solution mapping issues. With the proposed methodology, the enrichment functions are added hierarchically to the stiffness matrix. As such, large portions of the coarse, global meshes may be assembled and factorized only once. The factorizations can then be re-used for multiple loading scenarios, or multiple time-steps so as to significantly improve the computational efficiency of the simulations. The issue of prohibitively small time-step sizes dictated by high mesh density in traditional FEM analyses is also addressed. With the use of appropriate shape functions, sufficient accuracy is obtained without the requirement of highly refined meshes. The resulting critical time-steps are less restrictive, making transient analyses more computationally feasible.
Download or read book Advanced Computational Methods in Heat Transfer written by Luiz C. Wrobel and published by . This book was released on 1990 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Finite Element and Finite Volume Methods for Heat Transfer and Fluid Dynamics written by J. N. Reddy and published by Cambridge University Press. This book was released on 2022-10-27 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Finite Element Analysis Program FEAP for Conduction Heat Transfer written by and published by . This book was released on 1979 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Finite Element Analysis Program (FEAP) was expanded to solve linear and nonlinear, two and three dimensional heat conduction problems. The usual types of boundary conditions, including radiation, may be specified. A wide range of two- and three-time levels schemes for the solution of time dependent problems is available in the program and a discussion of those most commonly used in presented. The algorithms for the solution of typical practical problems are described and several numerical examples are presented. The results are compared with the available analytical solutions. A listing of this expanded version of FEAP and the corresponding user's instructions are provided. (Author).
