{"product_id":"heat-conduction-hardback-9780470902936","title":"Heat Conduction (Hardback) 9780470902936","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eHeat Conduction\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cfont size=\"4\"\u003eDavid W. Hahn (Author), M. Necati Özisik (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780470902936, Wiley\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 2 October 2012\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e752 pages\u003cbr\u003e23.6 x 15.8 x 4.8 cm, 1.134 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003e\u003cb\u003eHEAT CONDUCTION\u003c\/b\u003e \u003cp\u003eMechanical Engineering \u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003e\u003cb\u003eTHE LONG-AWAITED REVISION OF THE BESTSELLER ON HEAT CONDUCTION\u003c\/b\u003e \u003c\/p\u003e\n\u003cp\u003e\u003ci\u003eHeat Conduction, Third Edition\u003c\/i\u003e is an update of the classic text on heat conduction, replacing some of the coverage of numerical methods with content on micro- and nanoscale heat transfer. With an emphasis on the mathematics and underlying physics, this new edition has considerable depth and analytical rigor, providing a systematic framework for each solution scheme with attention to boundary conditions and energy conservation. Chapter coverage includes: \u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003eHeat conduction fundamentals\u003c\/li\u003e \u003cli\u003eOrthogonal functions, boundary value problems, and the Fourier Series\u003c\/li\u003e \u003cli\u003eThe separation of variables in the rectangular coordinate system\u003c\/li\u003e \u003cli\u003eThe separation of variables in the cylindrical coordinate system\u003c\/li\u003e \u003cli\u003eThe separation of variables in the spherical coordinate system\u003c\/li\u003e \u003cli\u003eSolution of the heat equation for semi-infinite and infinite domains\u003c\/li\u003e \u003cli\u003eThe use of Duhamel’s theorem\u003c\/li\u003e \u003cli\u003eThe use of Green’s function for solution of heat conduction\u003c\/li\u003e \u003cli\u003eThe use of the Laplace transform\u003c\/li\u003e \u003cli\u003eOne-dimensional composite medium\u003c\/li\u003e \u003cli\u003eMoving heat source problems\u003c\/li\u003e \u003cli\u003ePhase-change problems\u003c\/li\u003e \u003cli\u003eApproximate analytic methods\u003c\/li\u003e \u003cli\u003eIntegral-transform technique\u003c\/li\u003e \u003cli\u003eHeat conduction in anisotropic solids\u003c\/li\u003e \u003cli\u003eIntroduction to microscale heat conduction\u003c\/li\u003e\n\u003c\/ul\u003e \u003cp\u003eIn addition, new capstone examples are included in this edition and extensive problems, cases, and examples have been thoroughly updated. A solutions manual is also available. \u003c\/p\u003e\n\u003cp\u003e\u003ci\u003eHeat Conduction\u003c\/i\u003e is appropriate reading for students in mainstream courses of conduction heat transfer, students in mechanical engineering, and engineers in research and design functions throughout industry.\u003c\/p\u003e\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e\u003cp\u003ePreface xiii\u003c\/p\u003e \u003cp\u003ePreface to Second Edition xvii\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Heat Conduction Fundamentals 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1-1 The Heat Flux 2\u003c\/p\u003e \u003cp\u003e1-2 Thermal Conductivity 4\u003c\/p\u003e \u003cp\u003e1-3 Differential Equation of Heat Conduction 6\u003c\/p\u003e \u003cp\u003e1-4 Fourier’s Law and the Heat Equation in Cylindrical and Spherical Coordinate Systems 14\u003c\/p\u003e \u003cp\u003e1-5 General Boundary Conditions and Initial Condition for the Heat Equation 16\u003c\/p\u003e \u003cp\u003e1-6 Nondimensional Analysis of the Heat Conduction Equation 25\u003c\/p\u003e \u003cp\u003e1-7 Heat Conduction Equation for Anisotropic Medium 27\u003c\/p\u003e \u003cp\u003e1-8 Lumped and Partially Lumped Formulation 29\u003c\/p\u003e \u003cp\u003eReferences 36\u003c\/p\u003e \u003cp\u003eProblems 37\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Orthogonal Functions, Boundary Value Problems, and the Fourier Series 40\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2-1 Orthogonal Functions 40\u003c\/p\u003e \u003cp\u003e2-2 Boundary Value Problems 41\u003c\/p\u003e \u003cp\u003e2-3 The Fourier Series 60\u003c\/p\u003e \u003cp\u003e2-4 Computation of Eigenvalues 63\u003c\/p\u003e \u003cp\u003e2-5 Fourier Integrals 67\u003c\/p\u003e \u003cp\u003eReferences 73\u003c\/p\u003e \u003cp\u003eProblems 73\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Separation of Variables in the Rectangular Coordinate System 75\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3-1 Basic Concepts in the Separation of Variables Method 75\u003c\/p\u003e \u003cp\u003e3-2 Generalization to Multidimensional Problems 85\u003c\/p\u003e \u003cp\u003e3-3 Solution of Multidimensional Homogenous Problems 86\u003c\/p\u003e \u003cp\u003e3-4 Multidimensional Nonhomogeneous Problems: Method of Superposition 98\u003c\/p\u003e \u003cp\u003e3-5 Product Solution 112\u003c\/p\u003e \u003cp\u003e3-6 Capstone Problem 116\u003c\/p\u003e \u003cp\u003eReferences 123\u003c\/p\u003e \u003cp\u003eProblems 124\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Separation of Variables in the Cylindrical Coordinate System 128\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4-1 Separation of Heat Conduction Equation in the Cylindrical Coordinate System 128\u003c\/p\u003e \u003cp\u003e4-2 Solution of Steady-State Problems 131\u003c\/p\u003e \u003cp\u003e4-3 Solution of Transient Problems 151\u003c\/p\u003e \u003cp\u003e4-4 Capstone Problem 167\u003c\/p\u003e \u003cp\u003eReferences 179\u003c\/p\u003e \u003cp\u003eProblems 179\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Separation of Variables in the Spherical Coordinate System 183\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5-1 Separation of Heat Conduction Equation in the Spherical Coordinate System 183\u003c\/p\u003e \u003cp\u003e5-2 Solution of Steady-State Problems 188\u003c\/p\u003e \u003cp\u003e5-3 Solution of Transient Problems 194\u003c\/p\u003e \u003cp\u003e5-4 Capstone Problem 221\u003c\/p\u003e \u003cp\u003eReferences 233\u003c\/p\u003e \u003cp\u003eProblems 233\u003c\/p\u003e \u003cp\u003eNotes 235\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Solution of the Heat Equation for Semi-Infinite and Infinite Domains 236\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6-1 One-Dimensional Homogeneous Problems in a Semi-Infinite Medium for the Cartesian Coordinate System 236\u003c\/p\u003e \u003cp\u003e6-2 Multidimensional Homogeneous Problems in a Semi-Infinite Medium for the Cartesian Coordinate System 247\u003c\/p\u003e \u003cp\u003e6-3 One-Dimensional Homogeneous Problems in An Infinite Medium for the Cartesian Coordinate System 255\u003c\/p\u003e \u003cp\u003e6-4 One-Dimensional homogeneous Problems in a Semi-Infinite Medium for the Cylindrical Coordinate System 260\u003c\/p\u003e \u003cp\u003e6-5 Two-Dimensional Homogeneous Problems in a Semi-Infinite Medium for the Cylindrical Coordinate System 265\u003c\/p\u003e \u003cp\u003e6-6 One-Dimensional Homogeneous Problems in a Semi-Infinite Medium for the Spherical Coordinate System 268\u003c\/p\u003e \u003cp\u003eReferences 271\u003c\/p\u003e \u003cp\u003eProblems 271\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Use of Duhamel’s Theorem 273\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7-1 Development of Duhamel’s Theorem for Continuous Time-Dependent Boundary Conditions 273\u003c\/p\u003e \u003cp\u003e7-2 Treatment of Discontinuities 276\u003c\/p\u003e \u003cp\u003e7-3 General Statement of Duhamel’s Theorem 278\u003c\/p\u003e \u003cp\u003e7-4 Applications of Duhamel’s Theorem 281\u003c\/p\u003e \u003cp\u003e7-5 Applications of Duhamel’s Theorem for Internal Energy Generation 294\u003c\/p\u003e \u003cp\u003eReferences 296\u003c\/p\u003e \u003cp\u003eProblems 297\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Use of Green’s Function for Solution of Heat Conduction Problems 300\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8-1 Green’s Function Approach for Solving Nonhomogeneous Transient Heat Conduction 300\u003c\/p\u003e \u003cp\u003e8-2 Determination of Green’s Functions 306\u003c\/p\u003e \u003cp\u003e8-3 Representation of Point, Line, and Surface Heat Sources with Delta Functions 312\u003c\/p\u003e \u003cp\u003e8-4 Applications of Green’s Function in the Rectangular Coordinate System 317\u003c\/p\u003e \u003cp\u003e8-5 Applications of Green’s Function in the Cylindrical Coordinate System 329\u003c\/p\u003e \u003cp\u003e8-6 Applications of Green’s Function in the Spherical Coordinate System 335\u003c\/p\u003e \u003cp\u003e8-7 Products of Green’s Functions 344\u003c\/p\u003e \u003cp\u003eReferences 349\u003c\/p\u003e \u003cp\u003eProblems 349\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Use of the Laplace Transform 355\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9-1 Definition of Laplace Transformation 356\u003c\/p\u003e \u003cp\u003e9-2 Properties of Laplace Transform 357\u003c\/p\u003e \u003cp\u003e9-3 Inversion of Laplace Transform Using the Inversion Tables 365\u003c\/p\u003e \u003cp\u003e9-4 Application of the Laplace Transform in the Solution of Time-Dependent Heat Conduction Problems 372\u003c\/p\u003e \u003cp\u003e9-5 Approximations for Small Times 382\u003c\/p\u003e \u003cp\u003eReferences 390\u003c\/p\u003e \u003cp\u003eProblems 390\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 One-Dimensional Composite Medium 393\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10-1 Mathematical Formulation of One-Dimensional Transient Heat Conduction in a Composite Medium 393\u003c\/p\u003e \u003cp\u003e10-2 Transformation of Nonhomogeneous Boundary Conditions into Homogeneous Ones 395\u003c\/p\u003e \u003cp\u003e10-3 Orthogonal Expansion Technique for Solving \u003ci\u003eM\u003c\/i\u003e-Layer Homogeneous Problems 401\u003c\/p\u003e \u003cp\u003e10-4 Determination of Eigenfunctions and Eigenvalues 407\u003c\/p\u003e \u003cp\u003e10-5 Applications of Orthogonal Expansion Technique 410\u003c\/p\u003e \u003cp\u003e10-6 Green’s Function Approach for Solving Nonhomogeneous Problems 418\u003c\/p\u003e \u003cp\u003e10-7 Use of Laplace Transform for Solving Semi-Infinite and Infinite Medium Problems 424\u003c\/p\u003e \u003cp\u003eReferences 429\u003c\/p\u003e \u003cp\u003eProblems 430\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Moving Heat Source Problems 433\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11-1 Mathematical Modeling of Moving Heat Source Problems 434\u003c\/p\u003e \u003cp\u003e11-2 One-Dimensional Quasi-Stationary Plane Heat Source Problem 439\u003c\/p\u003e \u003cp\u003e11-3 Two-Dimensional Quasi-Stationary Line Heat Source Problem 443\u003c\/p\u003e \u003cp\u003e11-4 Two-Dimensional Quasi-Stationary Ring Heat Source Problem 445\u003c\/p\u003e \u003cp\u003eReferences 449\u003c\/p\u003e \u003cp\u003eProblems 450\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12 Phase-Change Problems 452\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12-1 Mathematical Formulation of Phase-Change Problems 454\u003c\/p\u003e \u003cp\u003e12-2 Exact Solution of Phase-Change Problems 461\u003c\/p\u003e \u003cp\u003e12-3 Integral Method of Solution of Phase-Change Problems 474\u003c\/p\u003e \u003cp\u003e12-4 Variable Time Step Method for Solving Phase-Change Problems: A Numerical Solution 478\u003c\/p\u003e \u003cp\u003e12-5 Enthalpy Method for Solution of Phase-Change Problems: A Numerical Solution 484\u003c\/p\u003e \u003cp\u003eReferences 490\u003c\/p\u003e \u003cp\u003eProblems 493\u003c\/p\u003e \u003cp\u003eNote 495\u003c\/p\u003e \u003cp\u003e\u003cb\u003e13 Approximate Analytic Methods 496\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e13-1 Integral Method: Basic Concepts 496\u003c\/p\u003e \u003cp\u003e13-2 Integral Method: Application to Linear Transient Heat Conduction in a Semi-Infinite Medium 498\u003c\/p\u003e \u003cp\u003e13-3 Integral Method: Application to Nonlinear Transient Heat Conduction 508\u003c\/p\u003e \u003cp\u003e13-4 Integral Method: Application to a Finite Region 512\u003c\/p\u003e \u003cp\u003e13-5 Approximate Analytic Methods of Residuals 516\u003c\/p\u003e \u003cp\u003e13-6 The Galerkin Method 521\u003c\/p\u003e \u003cp\u003e13-7 Partial Integration 533\u003c\/p\u003e \u003cp\u003e13-8 Application to Transient Problems 538\u003c\/p\u003e \u003cp\u003eReferences 542\u003c\/p\u003e \u003cp\u003eProblems 544\u003c\/p\u003e \u003cp\u003e\u003cb\u003e14 Integral Transform Technique 547\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e14-1 Use of Integral Transform in the Solution of Heat Conduction Problems 548\u003c\/p\u003e \u003cp\u003e14-2 Applications in the Rectangular Coordinate System 556\u003c\/p\u003e \u003cp\u003e14-3 Applications in the Cylindrical Coordinate System 572\u003c\/p\u003e \u003cp\u003e14-4 Applications in the Spherical Coordinate System 589\u003c\/p\u003e \u003cp\u003e14-5 Applications in the Solution of Steady-state problems 599\u003c\/p\u003e \u003cp\u003eReferences 602\u003c\/p\u003e \u003cp\u003eProblems 603\u003c\/p\u003e \u003cp\u003eNotes 607\u003c\/p\u003e \u003cp\u003e\u003cb\u003e15 Heat Conduction in Anisotropic Solids 614\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e15-1 Heat Flux for Anisotropic Solids 615\u003c\/p\u003e \u003cp\u003e15-2 Heat Conduction Equation for Anisotropic Solids 617\u003c\/p\u003e \u003cp\u003e15-3 Boundary Conditions 618\u003c\/p\u003e \u003cp\u003e15-4 Thermal Resistivity Coefficients 620\u003c\/p\u003e \u003cp\u003e15-5 Determination of Principal Conductivities and Principal Axes 621\u003c\/p\u003e \u003cp\u003e15-6 Conductivity Matrix for Crystal Systems 623\u003c\/p\u003e \u003cp\u003e15-7 Transformation of Heat Conduction Equation for Orthotropic Medium 624\u003c\/p\u003e \u003cp\u003e15-8 Some Special Cases 625\u003c\/p\u003e \u003cp\u003e15-9 Heat Conduction in an Orthotropic Medium 628\u003c\/p\u003e \u003cp\u003e15-10 Multidimensional Heat Conduction in an Anisotropic Medium 637\u003c\/p\u003e \u003cp\u003eReferences 645\u003c\/p\u003e \u003cp\u003eProblems 647\u003c\/p\u003e \u003cp\u003eNotes 649\u003c\/p\u003e \u003cp\u003e\u003cb\u003e16 Introduction to Microscale Heat Conduction 651\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e16-1 Microstructure and Relevant Length Scales 652\u003c\/p\u003e \u003cp\u003e16-2 Physics of Energy Carriers 656\u003c\/p\u003e \u003cp\u003e16-3 Energy Storage and Transport 661\u003c\/p\u003e \u003cp\u003e16-4 Limitations of Fourier’s Law and the First Regime of Microscale Heat Transfer 667\u003c\/p\u003e \u003cp\u003e16-5 Solutions and Approximations for the First Regime of Microscale Heat Transfer 672\u003c\/p\u003e \u003cp\u003e16-6 Second and Third Regimes of Microscale Heat Transfer 676\u003c\/p\u003e \u003cp\u003e16-7 Summary Remarks 676\u003c\/p\u003e \u003cp\u003eReferences 676\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendixes 679\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix I Physical Properties 681\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eTable I-1 Physical Properties of Metals 681\u003c\/p\u003e \u003cp\u003eTable I-2 Physical Properties of Nonmetals 683\u003c\/p\u003e \u003cp\u003eTable I-3 Physical Properties of Insulating Materials 684\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix II Roots of Transcendental Equations 685\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix III Error Functions 688\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix IV Bessel Functions 691\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eTable IV-1 Numerical Values of Bessel Functions 696\u003c\/p\u003e \u003cp\u003eTable IV-2 First 10 Roots of \u003ci\u003eJ\u003csub\u003en\u003c\/sub\u003e(z) \u003c\/i\u003e= 0,\u003ci\u003e n \u003c\/i\u003e= 0,1,2,3,4,5 704\u003c\/p\u003e \u003cp\u003eTable IV-3 First Six Roots of \u003ci\u003eβJ\u003c\/i\u003e\u003csub\u003e1\u003c\/sub\u003e\u003ci\u003e(β) \u003c\/i\u003e− \u003ci\u003ecJ\u003c\/i\u003e\u003csub\u003e0\u003c\/sub\u003e\u003ci\u003e(β) \u003c\/i\u003e= 0 705\u003c\/p\u003e \u003cp\u003eTable IV-4 First Five Roots of \u003ci\u003eJ\u003c\/i\u003e\u003csub\u003e0\u003c\/sub\u003e\u003ci\u003e(β)Y\u003c\/i\u003e\u003csub\u003e0\u003c\/sub\u003e\u003ci\u003e(cβ) \u003c\/i\u003e− \u003ci\u003eY\u003c\/i\u003e\u003csub\u003e0\u003c\/sub\u003e\u003ci\u003e(β)J\u003c\/i\u003e\u003csub\u003e0\u003c\/sub\u003e\u003ci\u003e(cβ) \u003c\/i\u003e= 0 706\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix V Numerical Values of Legendre Polynomials of the First Kind 707\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix VI Properties of Delta Functions 710\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eIndex 713\u003c\/p\u003e\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mechanical engineering \u0026amp; materials [\u003ca title=\"See our other books on Mechanical engineering \u0026amp; materials\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mechanical%20engineering%20\u0026amp;%20materials%20%5BTG%5D%22\"\u003eTG\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Wiley","offers":[{"title":"Brand New","offer_id":52278088466712,"sku":"9780470902936","price":104.28,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9780470902936.jpg?v=1781458107","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/heat-conduction-hardback-9780470902936","provider":"Freshly Printed Books","version":"1.0","type":"link"}