Inverse Heat Transfer

Ozisik, M. Necat

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.