{"product_id":"heat-conduction-isbn-9780470902936","title":"Heat Conduction","description":"\u003cb\u003eHEAT CONDUCTION\u003c\/b\u003e \u003cp\u003eMechanical Engineering \u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003e\u003cb\u003eTHE LONG-AWAITED REVISION OF THE BESTSELLER ON HEAT CONDUCTION\u003c\/b\u003e \u003c\/p\u003e\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\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\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\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 \u003cp\u003e\u003cb\u003eDAVID W. HAHN\u003c\/b\u003e is the Knox T. Millsaps Professor of Mechanical and Aerospace Engineering at the University of Florida, Gainesville. His areas of specialization include both thermal sciences and biomedical engineering, including the development and application of laser-based diagnostic techniques and general laser-material interactions.\u003c\/p\u003e \u003cp\u003eThe late \u003cb\u003eM. NECATI ÖZISIK\u003c\/b\u003e retired as Professor Emeritus of North Carolina State University’s Mechanical and Aerospace Engineering Department, where he spent most of his academic career. Professor ÖziŞik dedicated his life to education and research in heat transfer. His outstanding contributions earned him several awards, including the Outstanding Engineering Educator Award from the American Society for Engineering Education in 1992.  \u003c\/p\u003e\u003cp\u003eMechanical Engineering \u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003e\u003cb\u003eTHE LONG-AWAITED REVISION OF THE BESTSELLER ON HEAT CONDUCTION\u003c\/b\u003e \u003c\/p\u003e\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\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\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","brand":"Wiley","offers":[{"title":"Default Title","offer_id":47989353775333,"sku":"NP9780470902936","price":187.95,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9780470902936.jpg?v=1761783785","url":"https:\/\/k12savings.com\/es\/products\/heat-conduction-isbn-9780470902936","provider":"K12savings","version":"1.0","type":"link"}