Thermal Measurements and Inverse Techniques

The use of inverse problems constitutes a new research paradigm in which groups of theoretical, computational, and experimental researchers synergistically interact to better understand the physical phenomena being studied. This book presents a comprehensive research-based survey of modern inverse techniques and their applications to engineering heat transfer. Written by top-notch contributors, the text provides a concise, single-source reference on the mathematical modeling, measurements, and solution of inverse problems in heat transfer. It covers topics such as multiscale modeling, thermophysical properties, heat flux, and temperature measurements.

With its uncommon presentation of instructional material regarding mathematical modeling, measurements, and solution of inverse problems, Thermal Measurements and Inverse Techniques is a one-stop reference for those dealing with various aspects of heat transfer.

Progress in mathematical modeling of complex industrial and environmental systems has enabled numerical simulations of most physical phenomena. In addition, recent advances in thermal instrumentation and heat transfer modeling have improved experimental procedures and indirect measurements for heat transfer research of both natural phenomena and manmade applications. These new resources and methods help theoretical, computational, and experimental researchers synergistically interact to better understand the physical phenomena being studied. This book explores how inverse analysis can be used to increase understanding of interactions between technological systems and nature, by bridging the gap between data derived from measurements and information from theoretical predictions.

Assembled in three parts-Modeling and Measurements in Heat Transfer, Inverse Heat Transfer Problems, and Applications-this self-contained resource:

• Explores theoretical background and examples

• Outlines practical applications, including sample test cases

• Presents inverse techniques to estimate spatially and time-varying functions (such as heat sources, fluxes, and thermophysical properties), as well as constant parameters in heat transfer problems

  Written by international experts, this book assumes basic heat transfer knowledge, presenting a balanced approach suitable for advanced undergraduates and graduate students, as well as practicing engineers and academic and industrial researchers. With coverage of modeling at the micro- and nanoscales, this book covers classic and novel approaches to help readers understand and solve heat transfer problems of all kinds.

  Autorentext

Helcio Orlande and Renato M. Cotta are both with the Universidade Federal do Rio de Janeiro, Brazil.

Olivier Fudym is an Associate Professor in Heat Transfer at Ecole des Mines d'Albi, France, and the Coordinator of the "Energy Efficiency and Thermal Sciences" Research Group at RAPSODEE Research Center.

Denis Maillet is a Professor of Heat Transfer at Université de Lorraine and Coordinator of the Energy Research Group at the LEMTA-Lab in Nancy, France.

Inhalt

Modeling and Measurements in Heat Transfer Modeling in Heat Transfer. A Multiscale Modeling Approach to Predict Thermophysical Properties of Heterogeneous Media. Temperature Measurements: Thermoelectricity and Microthermocouples. Temperature Measurements: Resistive Sensors. Heat Flux Sensors. *Radiative Measurements of Temperature.*

**Inverse Heat Transfer Problems

Introduction to Linear Least Squares Estimation and Ill-Posed Problems for Experimental Data Processing. Inverse Problems and Regularization. Non-linear Estimation Problems. A Survey of Basic Deterministic, heuristic and Hybrid Methods for Single Objective Optimization and Response Surface Generation. Adjoint Methods. Bayesian Approaches for the Solution of Inverse Problems. Identification of Low Order Models and Use for Solving Inverse Boundary Problems. Karhunen-Loève Decomposition for Data, Noise, and Model Reduction in Inverse Problems. Explicit Formulations for Radiative Transfer Problems.

Applications

Analysis of Errors in Measurements and Inversion. Multisignal Least Squares: Dispersion, Bias, Regularization. Thermophysical Properties Identification in the Frequency Domain. Front Face Thermal Characterization of Materials by a Photothermal Pulse Technique. Estimation of Space Variable Thermophysical Properties. Inverse Thermal Radiation Problems: Estimation of Radiative Properties of Dispersed Media.