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Inverse Heat Transfer - M. Necat Ozisik

Inverse Heat Transfer

Fundamentals and Applications

(Autor)

Buch | Softcover
350 Seiten
2020
CRC Press (Verlag)
978-0-367-44739-7 (ISBN)
CHF 99,45 inkl. MwSt
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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.

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.

Erscheinungsdatum
Reihe/Serie Heat Transfer
Verlagsort London
Sprache englisch
Maße 178 x 254 mm
Gewicht 644 g
Themenwelt Mathematik / Informatik Mathematik Angewandte Mathematik
Naturwissenschaften Physik / Astronomie Thermodynamik
Technik Maschinenbau
ISBN-10 0-367-44739-8 / 0367447398
ISBN-13 978-0-367-44739-7 / 9780367447397
Zustand Neuware
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