fundamentals of the finite element method for heat and fluid flow

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Fundamentals Of The Finite Element Method For Heat And Fluid Flow

Author : Roland W. Lewis
ISBN : 9780470346389
Genre : Science
File Size : 24. 86 MB
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Heat transfer is the area of engineering science which describesthe energy transport between material bodies due to a difference intemperature. The three different modes of heat transport areconduction, convection and radiation. In most problems, these threemodes exist simultaneously. However, the significance of thesemodes depends on the problems studied and often, insignificantmodes are neglected. Very often books published on Computational Fluid Dynamics usingthe Finite Element Method give very little or no significance tothermal or heat transfer problems. From the research point of view,it is important to explain the handling of various types of heattransfer problems with different types of complex boundaryconditions. Problems with slow fluid motion and heat transfer canbe difficult problems to handle. Therefore, the complexity ofcombined fluid flow and heat transfer problems should not beunderestimated and should be dealt with carefully. This book: Is ideal for teaching senior undergraduates the fundamentals ofhow to use the Finite Element Method to solve heat transfer andfluid dynamics problems Explains how to solve various heat transfer problems withdifferent types of boundary conditions Uses recent computational methods and codes to handle complexfluid motion and heat transfer problems Includes a large number of examples and exercises on heattransfer problems In an era of parallel computing, computational efficiency and easyto handle codes play a major part. Bearing all these points inmind, the topics covered on combined flow and heat transfer in thisbook will be an asset for practising engineers and postgraduatestudents. Other topics of interest for the heat transfer community,such as heat exchangers and radiation heat transfer, are alsoincluded.

Fundamentals Of The Finite Element Method For Heat And Mass Transfer

Author : Perumal Nithiarasu
ISBN : 9781118535431
Genre : Science
File Size : 43. 83 MB
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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

Discontinuous Finite Elements In Fluid Dynamics And Heat Transfer

Author : Ben Q. Li
ISBN : 9781846282058
Genre : Technology & Engineering
File Size : 62. 90 MB
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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 For Fluid Dynamics

Author : Olek C Zienkiewicz
ISBN : 9780080951379
Genre : Technology & Engineering
File Size : 28. 45 MB
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The Finite Element Method for Fluid Dynamics offers a complete introduction the application of the finite element method to fluid mechanics. The book begins with a useful summary of all relevant partial differential equations before moving on to discuss convection stabilization procedures, steady and transient state equations, and numerical solution of fluid dynamic equations. The character-based split (CBS) scheme is introduced and discussed in detail, followed by thorough coverage of incompressible and compressible fluid dynamics, flow through porous media, shallow water flow, and the numerical treatment of long and short waves. Updated throughout, this new edition includes new chapters on: Fluid-structure interaction, including discussion of one-dimensional and multidimensional problems Biofluid dynamics, covering flow throughout the human arterial system Focusing on the core knowledge, mathematical and analytical tools needed for successful computational fluid dynamics (CFD), The Finite Element Method for Fluid Dynamics is the authoritative introduction of choice for graduate level students, researchers and professional engineers. A proven keystone reference in the library of any engineer needing to understand and apply the finite element method to fluid mechanics Founded by an influential pioneer in the field and updated in this seventh edition by leading academics who worked closely with Olgierd C. Zienkiewicz Features new chapters on fluid-structure interaction and biofluid dynamics, including coverage of one-dimensional flow in flexible pipes and challenges in modeling systemic arterial circulation

The Finite Element Method Set

Author : Olek C Zienkiewicz
ISBN : 0080531679
Genre : Technology & Engineering
File Size : 72. 87 MB
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The sixth editions of these seminal books deliver the most up to date and comprehensive reference yet on the finite element method for all engineers and mathematicians. Renowned for their scope, range and authority, the new editions have been significantly developed in terms of both contents and scope. Each book is now complete in its own right and provides self-contained reference; used together they provide a formidable resource covering the theory and the application of the universally used FEM. Written by the leading professors in their fields, the three books cover the basis of the method, its application to solid mechanics and to fluid dynamics. * This is THE classic finite element method set, by two the subject's leading authors * FEM is a constantly developing subject, and any professional or student of engineering involved in understanding the computational modelling of physical systems will inevitably use the techniques in these books * Fully up-to-date; ideal for teaching and reference

Basics Of The Finite Element Method

Author : Paul E. Allaire
ISBN : 0697001199
Genre : Science
File Size : 60. 20 MB
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Hydrothermal Analysis In Engineering Using Control Volume Finite Element Method

Author : Mohsen Sheikholeslami
ISBN : 9780081003619
Genre : Technology & Engineering
File Size : 28. 3 MB
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Control volume finite element methods (CVFEM) bridge the gap between finite difference and finite element methods, using the advantages of both methods for simulation of multi-physics problems in complex geometries. In Hydrothermal Analysis in Engineering Using Control Volume Finite Element Method, CVFEM is covered in detail and applied to key areas of thermal engineering. Examples, exercises, and extensive references are used to show the use of the technique to model key engineering problems such as heat transfer in nanofluids (to enhance performance and compactness of energy systems), hydro-magnetic techniques in materials and bioengineering, and convective flow in fluid-saturated porous media. The topics are of practical interest to engineering, geothermal science, and medical and biomedical sciences. Introduces a detailed explanation of Control Volume Finite Element Method (CVFEM) to provide for a complete understanding of the fundamentals Demonstrates applications of this method in various fields, such as nanofluid flow and heat transfer, MHD, FHD, and porous media Offers complete familiarity with the governing equations in which nanofluid is used as a working fluid Discusses the governing equations of MHD and FHD Provides a number of extensive examples throughout the book Bonus appendix with sample computer code

Finite Element Modeling Of Multiscale Transport Phenomena

Author : Vahid Nassehi
ISBN : 9781848164291
Genre : Technology & Engineering
File Size : 34. 81 MB
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Complex multiscale systems such as combined free or porous flow regimes and transport processes governed by combined diffusion, convection and reaction mechanisms, which cannot be readily modeled using traditional methods, can be solved by multiscale or stabilized finite element schemes. Due to the importance of the described multiscale processes in applications such as separation processes, reaction engineering and environmental systems analysis, a sound knowledge of such methods is essential for many researchers and design engineers who wish to develop reliable solutions for industrially relevant problems. The main scope of this book is to provide an authoritative description of recent developments in the field of finite element analysis, with a particular emphasis on the multiscale finite element modeling of transport phenomena and flow problem.

The Intermediate Finite Element Method

Author : Darrell W. Pepper
ISBN : 1560323094
Genre : Science
File Size : 71. 95 MB
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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.

The Finite Element Method With Heat Transfer And Fluid Mechanics Applications

Author : Erian A. Baskharone
ISBN : 9781107039810
Genre : Mathematics
File Size : 32. 35 MB
Format : PDF, ePub, Docs
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This textbook begins with the finite element method (FEM) before focusing on FEM in heat transfer and fluid mechanics.

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