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Boundary value problems of heat conduction / M. Necati Özisik
| Boundary value problems of heat conduction / M. Necati Özisik |
| Autore | ÖZISIK, M. Necati |
| Pubbl/distr/stampa | Mineola [etc.] : Dover Publications, 1968 |
| Descrizione fisica | VIII, 504 p. ; 23 cm |
| Disciplina | 536.23 |
| Collana | International textbooks in mechanical engineering |
| Soggetto topico | Calore - Conduzione - Problemi al contorno |
| ISBN | 0-486-49515-9 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-990002225540203316 |
ÖZISIK, M. Necati
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| Mineola [etc.] : Dover Publications, 1968 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Cellular and porous materials : thermal properties simulation and prediction / / edited by Andreas Öchsner, Graeme E. Murch and Marcelo J. S. de Lemos
| Cellular and porous materials : thermal properties simulation and prediction / / edited by Andreas Öchsner, Graeme E. Murch and Marcelo J. S. de Lemos |
| Pubbl/distr/stampa | Weinheim, [Germany] : , : Wiley-VCH Verlag GmbH & Co. KGaA, , 2008 |
| Descrizione fisica | 1 online resource (442 p.) |
| Disciplina |
536.23
536/.23 |
| Soggetto topico | Porous materials - Thermal properties |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-282-01060-3
9786612010606 3-527-62140-7 3-527-62141-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cellular and Porous Materials Thermal Properties Simulation and Prediction; Contents; Preface; List of Contributors; 1 Interfacial Heat Transport in Highly Permeable Media: A Finite Volume Approach; 1.1 Introduction; 1.2 Governing Equations; 1.2.1 Microscopic Transport Equations; 1.2.2 Decomposition of Flow Variables in Space and Time; 1.2.3 Macroscopic Flow and Energy Equations; 1.2.4 Macroscopic Two-Energy Equation Modeling; 1.2.5 Interfacial Heat Transfer Coefficient; 1.3 Numerical Determination of hi; 1.3.1 Physical Model; 1.3.2 Periodic Flow; 1.3.3 Film Coefficient hi
1.4 Results and Discussion1.4.1 Array of Square Rods; 1.4.2 Array of Elliptic Rods; 1.4.3 Correlations for Laminar and Turbulent Flows; 1.5 Conclusions; References; 2 Effective Thermal Properties of Hollow-Sphere Structures: A Finite Element Approach; 2.1 Introduction; 2.1.1 Finite Element Method and Heat Transfer Problems; 2.1.2 Hollow-Sphere Structures in the Context of Cellular Metals; 2.2 Finite Element Method; 2.2.1 Basics of Heat Transfer; 2.2.2 Weighted Residual Method; 2.2.3 Discretization and Principal Finite Element Equation; 2.2.4 Four-Node Planar Bilinear Quadrilateral (Quad4) 2.2.4.1 General Rectangular Quad4 Element2.2.4.2 Postprocessing; 2.2.5 Nonlinearities; 2.3 Modelling of Hollow-Sphere Structures; 2.3.1 Geometry, Mesh and Boundary Conditions; 2.3.2 Material Properties; 2.4 Determination of the Effective Thermal Conductivities; 2.4.1 Influence of the Morphology and Joining Technique; 2.4.2 Influence of the Topology; 2.4.3 Temperature-Dependent Material Properties; 2.4.3.1 Low Temperature Gradient; 2.4.3.2 High Temperature Gradient; 2.4.4 Application Example: Sandwich Structure; 2.5 Conclusions; References 3 Thermal Properties of Composite Materials and Porous Media: Lattice-Based Monte Carlo Approaches3.1 Introduction; 3.2 Monte Carlo Methods of Calculation of the Effective Thermal Conductivity; 3.2.1 The Einstein Equation; 3.2.2 Fick's First Law (Fourier Equation); 3.3 Monte Carlo Calculations of the Effective Thermal Conductivity; 3.3.1 Effective Diffusion in Two-Component Composites/Porous Media; 3.3.2 Effective Diffusion in Three-Component Composites; 3.4 Determination of Temperature Profiles; References; 4 Fluid Dynamics in Porous Media: A Boundary Element Approach; 4.1 Introduction 4.1.1 Transport Phenomena in Porous Media4.1.2 Boundary Element Method for Fluid Dynamics in Porous Media; 4.2 Governing Equations; 4.3 Boundary Element Method; 4.3.1 Velocity-Vorticity Formulation; 4.3.2 Boundary Domain Integral Equations; 4.3.3 Discretized Boundary Domain Integral Equations; 4.3.4 Solution Procedure; 4.4 Numerical Examples; 4.4.1 Double-Diffusive Natural Convection in Vertical Cavity; 4.4.2 Double-Diffusive Natural Convection in a Horizontal Porous Layer; 4.5 Conclusion; References; 5 Analytical Methods for Heat Conduction in Composites and Porous Media; 5.1 Introduction 5.2 Mathematical Models for Heat Conduction |
| Record Nr. | UNINA-9910144377603321 |
| Weinheim, [Germany] : , : Wiley-VCH Verlag GmbH & Co. KGaA, , 2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Cellular and porous materials : thermal properties simulation and prediction / / edited by Andreas Öchsner, Graeme E. Murch and Marcelo J. S. de Lemos
| Cellular and porous materials : thermal properties simulation and prediction / / edited by Andreas Öchsner, Graeme E. Murch and Marcelo J. S. de Lemos |
| Pubbl/distr/stampa | Weinheim, [Germany] : , : Wiley-VCH Verlag GmbH & Co. KGaA, , 2008 |
| Descrizione fisica | 1 online resource (442 p.) |
| Disciplina |
536.23
536/.23 |
| Soggetto topico | Porous materials - Thermal properties |
| ISBN |
1-282-01060-3
9786612010606 3-527-62140-7 3-527-62141-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cellular and Porous Materials Thermal Properties Simulation and Prediction; Contents; Preface; List of Contributors; 1 Interfacial Heat Transport in Highly Permeable Media: A Finite Volume Approach; 1.1 Introduction; 1.2 Governing Equations; 1.2.1 Microscopic Transport Equations; 1.2.2 Decomposition of Flow Variables in Space and Time; 1.2.3 Macroscopic Flow and Energy Equations; 1.2.4 Macroscopic Two-Energy Equation Modeling; 1.2.5 Interfacial Heat Transfer Coefficient; 1.3 Numerical Determination of hi; 1.3.1 Physical Model; 1.3.2 Periodic Flow; 1.3.3 Film Coefficient hi
1.4 Results and Discussion1.4.1 Array of Square Rods; 1.4.2 Array of Elliptic Rods; 1.4.3 Correlations for Laminar and Turbulent Flows; 1.5 Conclusions; References; 2 Effective Thermal Properties of Hollow-Sphere Structures: A Finite Element Approach; 2.1 Introduction; 2.1.1 Finite Element Method and Heat Transfer Problems; 2.1.2 Hollow-Sphere Structures in the Context of Cellular Metals; 2.2 Finite Element Method; 2.2.1 Basics of Heat Transfer; 2.2.2 Weighted Residual Method; 2.2.3 Discretization and Principal Finite Element Equation; 2.2.4 Four-Node Planar Bilinear Quadrilateral (Quad4) 2.2.4.1 General Rectangular Quad4 Element2.2.4.2 Postprocessing; 2.2.5 Nonlinearities; 2.3 Modelling of Hollow-Sphere Structures; 2.3.1 Geometry, Mesh and Boundary Conditions; 2.3.2 Material Properties; 2.4 Determination of the Effective Thermal Conductivities; 2.4.1 Influence of the Morphology and Joining Technique; 2.4.2 Influence of the Topology; 2.4.3 Temperature-Dependent Material Properties; 2.4.3.1 Low Temperature Gradient; 2.4.3.2 High Temperature Gradient; 2.4.4 Application Example: Sandwich Structure; 2.5 Conclusions; References 3 Thermal Properties of Composite Materials and Porous Media: Lattice-Based Monte Carlo Approaches3.1 Introduction; 3.2 Monte Carlo Methods of Calculation of the Effective Thermal Conductivity; 3.2.1 The Einstein Equation; 3.2.2 Fick's First Law (Fourier Equation); 3.3 Monte Carlo Calculations of the Effective Thermal Conductivity; 3.3.1 Effective Diffusion in Two-Component Composites/Porous Media; 3.3.2 Effective Diffusion in Three-Component Composites; 3.4 Determination of Temperature Profiles; References; 4 Fluid Dynamics in Porous Media: A Boundary Element Approach; 4.1 Introduction 4.1.1 Transport Phenomena in Porous Media4.1.2 Boundary Element Method for Fluid Dynamics in Porous Media; 4.2 Governing Equations; 4.3 Boundary Element Method; 4.3.1 Velocity-Vorticity Formulation; 4.3.2 Boundary Domain Integral Equations; 4.3.3 Discretized Boundary Domain Integral Equations; 4.3.4 Solution Procedure; 4.4 Numerical Examples; 4.4.1 Double-Diffusive Natural Convection in Vertical Cavity; 4.4.2 Double-Diffusive Natural Convection in a Horizontal Porous Layer; 4.5 Conclusion; References; 5 Analytical Methods for Heat Conduction in Composites and Porous Media; 5.1 Introduction 5.2 Mathematical Models for Heat Conduction |
| Record Nr. | UNINA-9910829906103321 |
| Weinheim, [Germany] : , : Wiley-VCH Verlag GmbH & Co. KGaA, , 2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Conduction of heat in solid / H. S. Carslaw, J. C. Jaeger
| Conduction of heat in solid / H. S. Carslaw, J. C. Jaeger |
| Autore | Carslaw, Horatio Scott |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | Oxford : Clarendon Press, 1959 |
| Descrizione fisica | X, 510 p. : ill. ; 24 cm |
| Disciplina |
515
536.71 536.23 |
| Altri autori (Persone) | Jaeger, John Conrad |
| Soggetto non controllato |
Calore
Termodinamica Trasmissione del calore |
| ISBN |
0-19-853303-9
0-19-853368-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-990000359730403321 |
| Carslaw, Horatio Scott | ||
| Oxford : Clarendon Press, 1959 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Conduction of heat in solids / by H. S. Carslaw and J. C. Jaeger
| Conduction of heat in solids / by H. S. Carslaw and J. C. Jaeger |
| Autore | Carslaw, Horatio Scott |
| Edizione | [2. ed] |
| Pubbl/distr/stampa | Oxford, : Clarendon press, 1959 |
| Descrizione fisica | VIII, 510 p. : ill. ; 25 cm. |
| Disciplina |
536
536.23 |
| Altri autori (Persone) | Jaeger, John Conrad <1907-1979> |
| Collana | Oxford science publications |
| Soggetto topico |
Conducibilità termica
Solidi - Proprietà termiche Calore - Trasmissione |
| ISBN |
0198533683
9780198533689 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISANNIO-NAP0632784 |
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Carslaw, Horatio Scott
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| Oxford, : Clarendon press, 1959 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Sannio | ||
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Conduction of heat in solids / by H. S. Carslaw and J. C. Jaeger
| Conduction of heat in solids / by H. S. Carslaw and J. C. Jaeger |
| Autore | Carslaw, Horatio Scott |
| Edizione | [2. ed] |
| Pubbl/distr/stampa | Oxford, : Clarendon Press, 1959 |
| Descrizione fisica | VIII, 510 p. : ill. ; 25 cm |
| Disciplina |
536
536.23 |
| Altri autori (Persone) | Jaeger, John Conrad <1907-1979> |
| Soggetto topico |
Calore - Trasmissione
Trasformate di Laplace |
| ISBN | 0198533039 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISANNIO-PUV0283813 |
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Carslaw, Horatio Scott
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| Oxford, : Clarendon Press, 1959 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Sannio | ||
| ||
Heat conduction / J.M. Hill and J. N. Dewynne
| Heat conduction / J.M. Hill and J. N. Dewynne |
| Autore | Hill, James M. |
| Pubbl/distr/stampa | Oxford : Blackwell Scientific Publications, 1987 |
| Descrizione fisica | IX, 334 p. ; 25 cm |
| Disciplina | 536.23 |
| Collana | Applied mathematics and engineering science texts |
| ISBN | 0-632-01716-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-990000863500403321 |
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Hill, James M.
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| Oxford : Blackwell Scientific Publications, 1987 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Heat conduction / N. M. Ozisik
| Heat conduction / N. M. Ozisik |
| Autore | Özışık, M. Necati |
| Pubbl/distr/stampa | New York : Wiley & Sons, 1980 |
| Descrizione fisica | XV, 687 p. ; 24 cm |
| Disciplina | 536.23 |
| ISBN | 0-471-05481-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-990000268540403321 |
| Özışık, M. Necati | ||
| New York : Wiley & Sons, 1980 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Heat conduction using green's functions / Kevin D. Cole ... [et al.]
| Heat conduction using green's functions / Kevin D. Cole ... [et al.] |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | Boca Raton : CRC press, ©2011 |
| Descrizione fisica | 643 p. : ill. ; 24 cm |
| Disciplina | 536.23 |
| Collana | Series in computational and physical processes in mechanics and thermal sciences |
| Soggetto non controllato |
Calore - Conduzione - Matematica
Funzioni di Green |
| ISBN | 978-1-4398-1354-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-990009638030403321 |
| Boca Raton : CRC press, ©2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Inverse Heat Conduction : Ill-Posed Problems / / Hamidreza Najafi [and three others]
| Inverse Heat Conduction : Ill-Posed Problems / / Hamidreza Najafi [and three others] |
| Autore | Najafi Hamidreza |
| Edizione | [Second edition.] |
| Pubbl/distr/stampa | Hoboken, New Jersey : , : John Wiley & Sons, Inc., , [2023] |
| Descrizione fisica | 1 online resource (355 pages) |
| Disciplina | 536.23 |
| Soggetto topico |
Heat - Conduction
Numerical analysis - Improperly posed problems |
| ISBN |
1-119-84022-8
1-119-84020-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover -- Title Page -- Copyright Page -- Contents -- List of Figures -- Nomenclature -- Preface to First Edition -- Preface to Second Edition -- Chapter 1 Inverse Heat Conduction Problems: An Overview -- 1.1 Introduction -- 1.2 Basic Mathematical Description -- 1.3 Classification of Methods -- 1.4 Function Estimation Versus Parameter Estimation -- 1.5 Other Inverse Function Estimation Problems -- 1.6 Early Works on IHCPs -- 1.7 Applications of IHCPs: A Modern Look -- 1.7.1 Manufacturing Processes -- 1.7.1.1 Machining Processes -- 1.7.1.2 Milling and Hot Forming -- 1.7.1.3 Quenching and Spray Cooling -- 1.7.1.4 Jet Impingement -- 1.7.1.5 Other Manufacturing Applications -- 1.7.2 Aerospace Applications -- 1.7.3 Biomedical Applications -- 1.7.4 Electronics Cooling -- 1.7.5 Instrumentation, Measurement, and Non-Destructive Testing -- 1.7.6 Other Applications -- 1.8 Measurements -- 1.8.1 Description of Measurement Errors -- 1.8.2 Statistical Description of Errors -- 1.9 Criteria for Evaluation of IHCP Methods -- 1.10 Scope of Book -- 1.11 Chapter Summary -- References -- Chapter 2 Analytical Solutions of Direct Heat Conduction Problems -- 2.1 Introduction -- 2.2 Numbering System -- 2.3 One-Dimensional Temperature Solutions -- 2.3.1 Generalized One-Dimensional Heat Transfer Problem -- 2.3.2 Cases of Interest -- 2.3.3 Dimensionless Variables -- 2.3.4 Exact Analytical Solution -- 2.3.5 The Concept of Computational Analytical Solution -- 2.3.5.1 Absolute and Relative Errors -- 2.3.5.2 Deviation Time -- 2.3.5.3 Second Deviation Time -- 2.3.5.4 Quasi-Steady, Steady-State and Unsteady Times -- 2.3.5.5 Solution for Large Times -- 2.3.5.6 Intrinsic Verification -- 2.3.6 X12B10T0 Case -- 2.3.6.1 Computational Analytical Solution -- 2.3.6.2 Computer Code and Plots -- 2.3.7 X12B20T0 Case -- 2.3.7.1 Computational Analytical Solution.
2.3.7.2 Computer Code and Plots -- 2.3.8 X22B10T0 Case -- 2.3.8.1 Computational Analytical Solution -- 2.3.8.2 Computer Code and Plots -- 2.3.9 X22B20T0 Case -- 2.3.9.1 Computational Analytical Solution -- 2.3.9.2 Computer Code and Plots -- 2.4 Two-Dimensional Temperature Solutions -- 2.4.1 Dimensionless Variables -- 2.4.2 Exact Analytical Solution -- 2.4.3 Computational Analytical Solution -- 2.4.3.1 Absolute and Relative Errors -- 2.4.3.2 One- and Two-Dimensional Deviation Times -- 2.4.3.3 Quasi-Steady Time -- 2.4.3.4 Number of Terms in the Quasi-Steady Solution with Eigenvalues in the Homogeneous Direction -- 2.4.3.5 Number of Terms in the Quasi-Steady Solution with Eigenvalues in the Nonhomogeneous Direction -- 2.4.3.6 Deviation Distance Alongx -- 2.4.3.7 Deviation Distance Alongy -- 2.4.3.8 Number of Terms in the Complementary Transient Solution -- 2.4.3.9 Computer Code and Plots -- 2.5 Chapter Summary -- Problems -- References -- Chapter 3 Approximate Methods for Direct Heat Conduction Problems -- 3.1 Introduction -- 3.1.1 Various Numerical Approaches -- 3.1.2 Scope of Chapter -- 3.2 Superposition Principles -- 3.2.1 Green's Function Solution Interpretation -- 3.2.2 Superposition Example - Step Pulse Heating -- 3.3 One-Dimensional Problem with Time-Dependent Surface Temperature -- 3.3.1 Piecewise-Constant Approximation -- 3.3.1.1 Superposition-Based Numerical Approximation of the Solution -- 3.3.1.2 Sequential-in-time Nature and Sensitivity Coefficients -- 3.3.1.3 Basic "Building Block" Solution -- 3.3.1.4 Computer Code and Example -- 3.3.1.5 Matrix Form of the Superposition-Based Numerical Approximation -- 3.3.2 Piecewise-Linear Approximation -- 3.3.2.1 Superposition-Based Numerical Approximation of the Solution -- 3.3.2.2 Sequential-in-time Nature and Sensitivity Coefficients -- 3.3.2.3 Basic "Building Block" Solutions. 3.3.2.4 Computer Code and Examples -- 3.3.2.5 Matrix Form of the Superposition-Based Numerical Approximation -- 3.4 One-Dimensional Problem with Time-Dependent Surface Heat Flux -- 3.4.1 Piecewise-Constant Approximation -- 3.4.1.1 Superposition-Based Numerical Approximation of the Solution -- 3.4.1.2 Heat Flux-Based Sensitivity Coefficients -- 3.4.1.3 Basic "Building Block" Solution -- 3.4.1.4 Computer Code and Example -- 3.4.1.5 Matrix Form of the Superposition-Based Numerical Approximation -- 3.4.2 Piecewise-Linear Approximation -- 3.4.2.1 Superposition-Based Numerical Approximation of the Solution -- 3.4.2.2 Heat Flux-Based Sensitivity Coefficients -- 3.4.2.3 Basic "Building Block" Solutions -- 3.4.2.4 Computer Code and Examples -- 3.4.2.5 Matrix Form of the Superposition-Based Numerical Approximation -- 3.5 Two-Dimensional Problem with Space-Dependent and Constant Surface Heat Flux -- 3.5.1 Piecewise-Uniform Approximation -- 3.5.1.1 Superposition-Based Numerical Approximation of the Solution -- 3.5.1.2 Heat Flux-Based Sensitivity Coefficients -- 3.5.1.3 Basic "Building Block" Solution -- 3.5.1.4 Computer Code and Examples -- 3.5.1.5 Matrix Form of the Superposition-Based Numerical Approximation -- 3.6 Two-Dimensional Problem with Space- and Time-Dependent Surface Heat Flux -- 3.6.1 Piecewise-Uniform Approximation -- 3.6.1.1 Numerical Approximation in Space -- 3.6.2 Piecewise-Constant Approximation -- 3.6.2.1 Numerical Approximation in Time -- 3.6.3 Superposition-Based Numerical Approximation of the Solution -- 3.6.3.1 Sequential-in-time Nature and Sensitivity Coefficients -- 3.6.3.2 Basic "Building Block" Solution -- 3.6.3.3 Computer Code and Example -- 3.6.3.4 Matrix Form of the Superposition-Based Numerical Approximation -- 3.7 Chapter Summary -- Problems -- References -- Chapter 4 Inverse Heat Conduction Estimation Procedures. 4.1 Introduction -- 4.2 Why is the IHCP Difficult? -- 4.2.1 Sensitivity to Errors -- 4.2.2 Damping and Lagging -- 4.2.2.1 Penetration Time -- 4.2.2.2 Importance of the Penetration Time -- 4.3 Ill-Posed Problems -- 4.3.1 An Exact Solution -- 4.3.2 Discrete System of Equations -- 4.3.3 The Need for Regularization -- 4.4 IHCP Solution Methodology -- 4.5 Sensitivity Coefficients -- 4.5.1 Definition of Sensitivity Coefficients and Linearity -- 4.5.2 One-Dimensional Sensitivity Coefficient Examples -- 4.5.2.1 X22 Plate Insulated on One Side -- 4.5.2.2 X12 Plate Insulated on One Side, Fixed Boundary Temperature -- 4.5.2.3 X32 Plate Insulated on One Side, Fixed Heat Transfer Coefficient -- 4.5.3 Two-Dimensional Sensitivity Coefficient Example -- 4.6 Stolz Method: Single Future Time Step Method -- 4.6.1 Introduction -- 4.6.2 Exact Matching of Measured Temperatures -- 4.7 Function Specification Method -- 4.7.1 Introduction -- 4.7.2 Sequential Function Specification Method -- 4.7.2.1 Piecewise Constant Functional Form -- 4.7.2.2 Piecewise Linear Functional Form -- 4.7.3 General Remarks About Function Specification Method -- 4.8 Tikhonov Regularization Method -- 4.8.1 Introduction -- 4.8.2 Physical Significance of Regularization Terms -- 4.8.2.1 Continuous Formulation -- 4.8.2.2 Discrete Formulation -- 4.8.3 Whole Domain TR Method -- 4.8.3.1 Matrix Formulation -- 4.8.4 Sequential TR Method -- 4.8.5 General Comments About Tikhonov Regularization -- 4.9 Gradient Methods -- 4.9.1 Conjugate Gradient Method -- 4.9.1.1 Fletcher-Reeves CGM -- 4.9.1.2 Polak-Ribiere CGM -- 4.9.2 Adjoint Method (Nonlinear Problems) -- 4.9.2.1 Some Necessary Mathematics -- 4.9.2.2 The Continuous Form of IHCP -- 4.9.2.3 The Sensitivity Problem -- 4.9.2.4 The Lagrangian and the Adjoint Problem -- 4.9.2.5 The Gradient Equation -- 4.9.2.6 Summary of IHCP solution by Adjoint Method. 4.9.2.7 Comments About Adjoint Method -- 4.9.3 General Comments about CGM -- 4.10 Truncated Singular Value Decomposition Method -- 4.10.1 SVD Concepts -- 4.10.2 TSVD in the IHCP -- 4.10.3 General Remarks About TSVD -- 4.11 Kalman Filter -- 4.11.1 Discrete Kalman Filter -- 4.11.2 Two Concepts for Applying Kalman Filter to IHCP -- 4.11.3 Scarpa and Milano Approach -- 4.11.3.1 Kalman Filter -- 4.11.3.2 Smoother -- 4.11.4 General Remarks About Kalman Filtering -- 4.12 Chapter Summary -- Problems -- References -- Chapter 5 Filter Form of IHCP Solution -- 5.1 Introduction -- 5.2 Temperature Perturbation Approach -- 5.3 Filter Matrix Perspective -- 5.3.1 Function Specification Method -- 5.3.2 Tikhonov Regularization -- 5.3.3 Singular Value Decomposition -- 5.3.4 Conjugate Gradient -- 5.4 Sequential Filter Form -- 5.5 Using Second Temperature Sensor as Boundary Condition -- 5.5.1 Exact Solution for the Direct Problem -- 5.5.2 Tikhonov Regularization Method as IHCP Solution -- 5.5.3 Filter Form of IHCP Solution -- 5.6 Filter Coefficients for Multi-Layer Domain -- 5.6.1 Solution Strategy for IHCP in Multi-Layer Domain -- 5.6.1.1 Inner Layer -- 5.6.1.2 Outer Layer -- 5.6.1.3 Combined Solution -- 5.6.2 Filter Form of the Solution -- 5.7 Filter Coefficients for Non-Linear IHCP: Application for Heat Flux Measurement Using Directional Flame Thermometer -- 5.7.1 Solution for the IHCP -- 5.7.1.1 Back Layer (Insulation) -- 5.7.1.2 Front Layer (Inconel plate) -- 5.7.1.3 Combined Solution -- 5.7.2 Filter form of the solution -- 5.7.3 Accounting for Temperature-Dependent Material Properties -- 5.7.4 Examples -- 5.8 Chapter Summary -- Problems -- References -- Chapter 6 Optimal Regularization -- 6.1 Preliminaries -- 6.1.1 Some Mathematics -- 6.1.2 Design vs. Experimental Setting -- 6.2 Two Conflicting Objectives -- 6.2.1 Minimum Deterministic Bias. 6.2.2 Minimum Sensitivity to Random Errors. |
| Record Nr. | UNINA-9910830226803321 |
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Najafi Hamidreza
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| Hoboken, New Jersey : , : John Wiley & Sons, Inc., , [2023] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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