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Sommario
PREFACE -- NOMENCLATURE -- PART ONE FUNDAMENTALS -- Chapter 1 BASIC CONCEPTS -- 1-1 Inverse Heat Transfer Problem Concept -- 1-2 Application Areas of Inverse Heat Transfer -- 1-3 Classification of Inverse Heat Transfer Problems -- 1-4 Difficulties in the Solution of Inverse Heat Transfer Problems -- 1-5 An Overview of Solution Techniques for Inverse Heat Transfer Problems -- Problems -- References -- Note 1 Statistical Concepts -- Chapter 2 TECHNIQUES FOR SOLVING INVERSE HEAT TRANSFER PROBLEMS -- 2-1 Technique I: The Levenberg-Marquardt Method for Parameter Estimation -- 2-2 Technique II: The Conjugate Gradient Method for Parameter Estimation -- 2-3 Technique III: The Conjugate Gradient Method with Adjoint Problem for Parameter Estimation -- 2-4 Technique IV: The Conjugate Gradient Method with Adjoint Problem for Function Estimation -- 2-5 Solution of a Test-Problem -- Problems -- References -- Note 1 Statistical Analysis for Parameter Estimation -- Note 2 Design of Optimum Experiments -- Note 3 Search Step Size for Technique II -- Note 4 Additional Measurement Approach for the Stopping Criterion of the Conjugate Gradient Method -- Note 5 Search Step Size for Technique III -- Note 6 Hilbert Spaces -- Note 7 Search Step Size for Technique IV -- PART TWO APPLICATIONS -- Chapter 3 -- INVERSE CONDUCTION -- 3-1 Estimation of Constant Thermal Conductivity Components of an Orthotropic Solid -- 3-2 Estimation of Initial Condition -- 3-3 Estimation of Timewise Variation of the Strength of a Line Heat Source -- 3-4 Estimation of Timewise and Spacewise Variations of the Strength of a Volumetric Heat Source -- 3-5 Estimation of Temperature-Dependent Properties and Reaction Function -- 3-6 Estimation of Thermal Diffusivity and Relaxation Time with a Hyperbolic Heat Conduction Model -- 3-7 Estimation of Contact Conductance Between Periodically Contacting Surfaces -- 3-8 Estimation of Contact Conductance Between a Solidifying Metal and a Metal Mold -- Problems -- References -- Chapter 4 INVERSE CONVECTION -- 4-1 Estimation of the Inlet Temperature Profile in Laminar Flow -- 4-2 Estimation of the Transient Inlet Temperature in Laminar Flow -- 4-3 Estimation of the Axial Variation of the Wall Heat Flux in Laminar Flow -- 4-4 Estimation of the Transient Wall Heat Flux in Turbulent Flow -- 4-5 Estimation of the Spacewise and Timewise Variations of the Wall Heat Flux in Laminar Flow -- Problems -- References -- Chapter 5 INVERSE RADIATION -- 5-1 Identification of the Temperature Profile in an Absorbing, Emitting and Isotropically Scattering Medium -- 5-2 Simultaneous Estimation of the Temperature Profile and Surface Reflectivity -- 5-3 Estimation of the Radiation Source Term in a Semitransparent Solid Sphere -- Problems -- References -- Chapter 6 A GENERAL FORMULATION FOR INVERSE HEAT CONDUCTION -- 6-1 Introduction -- 6-2 Coordinate Transformation Relations -- 6-3 Simple Transformations -- 6-4 Basic Ideas in Numerical Grid Generation and Mapping -- 6-5 Boundary Value Problem of Numerical Grid Generation -- 6-6 A Generalized Coordinates Approach for Inverse Heat Conduction -- Problems -- References.
Info autore
Ozisik, M. Necat
Riassunto
This book introduces the fundamental concepts of inverse heat transfer problems. It presents in detail the basic steps of four techniques of inverse heat transfer protocol, as a parameter estimation approach and as a function estimation approach. These techniques are then applied to the solution of the problems of practical engineering interest involving conduction, convection, and radiation. The text also introduces a formulation based on generalized coordinates for the solution of inverse heat conduction problems in two-dimensional regions.
