Kankanhalli N. Seetharamu, Perumal Nithiarasu, Roland W. Lewis:Fundamentals of the Finite Element Method for Heat and Mass Transfer by Perumal
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By Perumal Nithiarasu, Roland W. Lewis, Kankanhalli N. Seetharamu. Perumal Nithiarasu, DSc, PhD, is currently the head of Zienkiewicz Centre for Computational Engineering at Swansea Unive… Más…
By Perumal Nithiarasu, Roland W. Lewis, Kankanhalli N. Seetharamu. Perumal Nithiarasu, DSc, PhD, is currently the head of Zienkiewicz Centre for Computational Engineering at Swansea University. Roland Lewis, DSc, PhD, FREng, has more than forty years of experience in teaching, research and administration in the area of heat transfer. The Nile on eBay FREE SHIPPING UK WIDE Fundamentals of the Finite Element Method for Heat and Mass Transfer by Perumal Nithiarasu, Roland W. Lewis, Kankanhalli N. Seetharamu 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. The early chapters are designed to teach beginners the basics of the finite element method and heat transfer. FORMATHardcover LANGUAGEEnglish CONDITIONBrand New Publisher Description 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 Author Biography Perumal Nithiarasu, DSc, PhD, is currently the head of Zienkiewicz Centre for Computational Engineering at Swansea University. He has more than twenty years of teaching and research experience in the areas of finite element method, heat and mass transfer, fluid dynamics and biomedical engineering. He is a founding co-chair of the international conference series, Computational Methods for Thermal Problems (ThermaCOMP, . Professor Nithiarasu is a winner of ECCOMAS young investigator award in 2004 and he was awarded the Zienkiewicz Silver Medal of the Institution of Civil Engineers, UK in 2002. Professor Nithiarasu has published more than 300 articles and two textbooks in the areas of heat and fluid flow.?Professor Nithiarasu is the founding editor of the International Journal for Numerical Methods in Biomedical Engineering, published by Wiley. He serves on the editorial boards of several international journals. Roland Lewis, DSc, PhD, FREng, has more than forty years of experience in teaching, research and administration in the area of heat transfer. Previously, Professor Lewis served as the head of Mechanical Engineering department in Swansea University.?His contributions in the areas of solidification and porous media are very well known. Until recently, he was the editor in chief of the International Journal for Numerical Methods in Engineering and Communications in Numerical Methods in Engineering. Although retired, he is actively editing the International Journal of Numerical Methods for Heat & Fluid Flow. He has also been serving as the honorary chair of the international conference series, Computational Methods in Thermal Problems (ThermaCOMP, .?Author of nearly 400 articles, Professor Lewis was honoured with IACM Computational Mechanics award and fellowship. He is also a fellow of the Royal Academy of Engineering, UK. K.N. Seetharamu currently holds a prestigious chair professor position in the Mechanical Engineering department of the PES University, Bangalore. He has more than forty years of teaching and research experience in the areas of heat transfer and finite element method. Previously he was a professor of Thermal Engineering in Institute of Technology Madras.?Professor Seetharamu also has spent more than ten years in University of Sains Malaysia, carrying out research in the areas of heat transfer, energy and electronics packaging.?Author of more than 300 publications, Professor Seetharamu is one of the top heat transfer engineers in India. He is a fellow of the Indian National Academy. Recently, the Indian Society for Heat and Mass Transfer has established a biennial award in his name to honour Professor Seetharmau's achievements. Table of Contents Preface to the Second Edition xii Series Editor's Preface xiv 1 Introduction 1 1.1 Importance of Heat and Mass Transfer 1 1.2 Heat Transfer Modes 2 1.3 The Laws of Heat Transfer 3 1.4 Mathematical Formulation of Some Heat Transfer Problems 5 1.4.1 Heat Transfer from a Plate Exposed to Solar Heat Flux 5 1.4.2 Incandescent Lamp 7 1.4.3 Systems with a Relative Motion and Internal Heat Generation 8 1.5 Heat Conduction Equation 10 1.6 Mass Transfer 13 1.7 Boundary and Initial Conditions 13 1.8 Solution Methodology 15 1.9 Summary 15 1.10 Exercises 16 References 17 2 Some Basic Discrete Systems 19 2.1 Introduction 19 2.2 Steady-state Problems 20 2.2.1 Heat Flow in a Composite Slab 20 2.2.2 Fluid Flow Network 23 2.2.3 Heat Transfer in Heat Sinks 26 2.3 Transient Heat Transfer Problem 28 2.4 Summary 31 2.5 Exercises 31 References 36 3 The Finite Element Method 39 3.1 Introduction 39 3.2 Elements and Shape Functions 42 3.2.1 One-dimensional Linear Element 43 3.2.2 One-dimensional Quadratic Element 46 3.2.3 Two-dimensional Linear Triangular Element 49 3.2.4 Area Coordinates 53 3.2.5 Quadratic Triangular Element 55 3.2.6 Two-dimensional Quadrilateral Elements 58 3.2.7 Isoparametric Elements 63 3.2.8 Three-dimensional Elements 72 3.3 Formulation (Element Characteristics) 76 3.3.1 Ritz Method (Heat Balance Integral Method – Goodman's Method) 78 3.3.2 Rayleigh–Ritz Method (Variational Method) 79 3.3.3 The Method of Weighted Residuals 82 3.3.4 Galerkin Finite ElementMethod 86 3.4 Formulation for the Heat Conduction Equation 89 3.4.1 Variational Approach 90 3.4.2 The GalerkinMethod 93 3.5 Requirements for Interpolation Functions 94 3.6 Summary 100 3.7 Exercises 100 References 102 4 Steady-State Heat Conduction in One-dimension 105 4.1 Introduction 105 4.2 PlaneWalls 105 4.2.1 Homogeneous Wall 105 4.2.2 CompositeWall 107 4.2.3 Finite Element Discretization 108 4.2.4 Wall with Varying Cross-sectional Area 110 4.2.5 Plane Wall with a Heat Source: Solution by Linear Elements 112 4.2.6 Plane Wall with Heat Source: Solution by Quadratic Elements 115 4.2.7 Plane Wall with a Heat Source: Solution by Modified Quadratic Equations (Static Condensation) 117 4.3 Radial Heat Conduction in a Cylinder Wall 118 4.4 Solid Cylinder with Heat Source 120 4.5 Conduction – Convection Systems 123 4.6 Summary 126 4.7 Exercises 127 References 129 5 Steady-state Heat Conduction in Multi-dimensions 131 5.1 Introduction 131 5.2 Two-dimensional Plane Problems 132 5.2.1 Triangular Elements 132 5.3 Rectangular Elements 142 5.4 Plate with Variable Thickness 145 5.5 Three-dimensional Problems 146 5.6 Axisymmetric Problems 148 5.6.1 Galerkin Method for Linear Triangular Axisymmetric Elements 150 5.7 Summary 153 5.8 Exercises 153 References 155 6 Transient Heat Conduction Analysis 157 6.1 Introduction 157 6.2 Lumped Heat Capacity System 157 6.3 Numerical Solution 159 6.3.1 Transient Governing Equations and Boundary and Initial Conditions 159 6.3.2 The GalerkinMethod 160 6.4 One-dimensional Transient State Problem 162 6.4.1 Time Discretization-Finite Difference Method (FDM) 163 6.4.2 Time Discretization-Finite ElementMethod (FEM) 168 6.5 Stability 169 6.6 Multi-dimensional Transient Heat Conduction 169 6.7 Summary 171 6.8 Exercises 171 References 173 7 Laminar Convection Heat Transfer 175 7.1 Introduction 175 7.1.1 Types of Fluid Motion Assisted Heat Transport 176 7.2 Navier-Stokes Equations 177 7.2.1 Conservation of Mass or Continuity Equation 177 7.2.2 Conservation ofMomentum 179 7.2.3 Energy Equation 183 7.3 Nondimensional Form of the Governing Equations 184 7.4 The Transient Convection-Diffusion Problem 188 7.4.1 Finite Element Solution to the Convection-Diffusion Equation 189 7.4.2 A Simple Characteristic Galerkin Method for Convection-Diffusion Equation 191 7.4.3 Extension to Multi-dimensions 197 7.5 Stability Conditions 202 7.6 Characteristic Based Split (CBS) Scheme 202 7.6.1 Spatial Discretization 208 7.6.2 Time-step Calculation 211 7.6.3 Boundary and Initial Conditions 211 7.6.4 Steady and Transient Solution Methods 213 7.7 Artificial Compressibility Scheme 214 7.8 Nusselt Number, Drag and Stream Function 215 7.8.1 Nusselt Number 215 7.8.2 Drag Calculation 216 7.8.3 Stream Function 217 7.9 Mesh Convergence 218 7.10 Laminar Isothermal Flow 219 7.11 Laminar Nonisothermal Flow 231 7.11.1 Forced Convection Heat Transfer 232 7.11.2 Buoyancy-driven Convection Heat Transfer 238 7.11.3 Mixed Convection Heat Transfer 240 7.12 Extension to Axisymmetric Problems 243 7.13 Summary 246 7.14 Exercises 247 References 249 8 Turbulent Flow and Heat Transfer 253 8.1 Introduction 253 8.1.1 Time Averaging 254 8.1.2 Relationship between 𝜅, 𝜖, 𝜈T and 𝛼T 256 8.2 Treatment of Turbulent Flows 257 8.2.1 Reynolds Averaged Navier-Stokes (RANS) 257 8.2.2 One-equation Models 258 8.2.3 Two-equation Models 259 8.2.4 Nondimensional Form of the Governing Equations 260 8.3 Solution Procedure 262 8.4 Forced Convective Flow and Heat Transfer 263 8.5 Buoyancy-driven Flow 272 8.6 Other Methods for Turbulence 275 8.6.1 Large Eddy Simulation (LES) 275 8.7 Detached Eddy Simulation (DES) and Monotonically Integrated LES (MILES)278 8.8 Direct Numerical Simulation (DNS) 278 8.9 Summary 279 References 279 9 Heat Exchangers 281 9.1 Introduction 281 9.2 LMTD and Effectiveness-NTU Methods 283 9.2.1 LMTD Method 283 9.2.2 Effectiveness – NTU Method 285 9.3 Computational Approaches 286 9.3.1 System Analysis 286 9.3.2 Finite Element Solution to Differential E, John Wiley & Sons INC International Concepts<
