Theoretical thermotics : transformation thermotics and extended theories for thermal metamaterials /

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Bibliographic Details
Author / Creator:Huang, Ji-Ping.
Imprint:Singapore : Springer, [2020]
Description:1 online resource
Language:English
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/12603014
Hidden Bibliographic Details
ISBN:9789811523014
9811523010
9789811523007
9811523002
9789811523007
9789811523021
9811523029
9789811523038
9811523037
Digital file characteristics:text file PDF
Notes:8.5 Thermal Band Gap
Includes bibliographical references.
Print version record.
Summary:This book focuses on theoretical thermotics, the theory of transformation thermotics and its extended theories for the active control of macroscopic thermal phenomena of artificial systems, which is in sharp contrast to classical thermodynamics comprising the four thermodynamic laws for the passive description of macroscopic thermal phenomena of natural systems. The book covers the basic concepts and mathematical methods, which are necessary to understand thermal problems extensively investigated in physics, but also in other disciplines of engineering and materials. The analyses rely on models solved by analytical techniques accompanied with computer simulations and laboratory experiments. This book serves both as a reference work for senior researchers and a study text for zero beginners.
Other form:Print version: Huang, Ji-Ping. Theoretical Thermotics : Transformation Thermotics and Extended Theories for Thermal Metamaterials. Singapore : Springer, ©2020 9789811523007
Standard no.:10.1007/978-981-15-2301-4
Table of Contents:
  • Intro
  • Preface
  • Metamaterial Physics Deserves a Nobel Prize
  • Thermal Metamaterial: Past, Present, and Future
  • Useful Theoretical Physics and Useful Theoretical Thermotics
  • Acknowledgement and Some Additional Notes
  • Bibliography
  • Contents
  • 1 Introduction
  • 1.1 Thermodynamics Versus Theoretical Thermotics
  • 1.1.1 Thermodynamics Concentrating on a Passive Description of Macroscopic Heat Phenomena of Natural Systems
  • 1.1.2 Theoretical Thermotics Concentrating on an Active Control of Macroscopic Heat Phenomena of Artificial Systems
  • 1.2 Two Features of Theoretical Thermotics
  • 1.2.1 Theoretical Framework: Transformation Thermotics and Extended Theories
  • 1.2.2 Application Value: Design Thermal Metamaterials for Macroscopic Heat-Flow Control
  • References
  • Part I General Theories
  • 2 Transformation Thermotics for Thermal Conduction
  • 2.1 Opening Remarks
  • 2.2 Coordinate Transformation and Geometric Transformation
  • 2.3 Transforming Heat Conduction
  • 2.4 Application: Thermal Cloak
  • 2.5 Exercises and Solutions
  • References
  • 3 Transformation Thermotics for Thermal Conduction and Convection
  • 3.1 Opening Remarks
  • 3.2 Transforming Thermal Convection: Steady Regime
  • 3.3 Transforming Thermal Convection: Transient Regime
  • 3.4 Exercises and Solutions
  • References
  • 4 Transformation Thermotics for Thermal Conduction and Radiation
  • 4.1 Rosseland Diffusion Approximation
  • 4.2 Transforming Thermal Radiation
  • 4.3 Exercises and Solutions
  • References
  • 5 Transformation Thermotics for Thermal Conduction, Convection and Radiation
  • 5.1 Transformation Theory
  • 5.2 Applications
  • 5.3 Exercises and Solutions
  • References
  • 6 Macroscopic Theory for Thermal Composites: Effective Medium Theory, Rayleigh Method and Perturbation Method
  • 6.1 Linear Part of Effective Thermal Conductivity
  • 6.1.1 Effective Medium Theory
  • 6.1.2 The Rayleigh Method
  • 6.2 Nonlinear Part of Effective Thermal Conductivity
  • 6.2.1 Effective Medium Theory
  • 6.2.2 The Rayleigh Method
  • 6.2.3 The Perturbation Method
  • 6.3 Examples
  • 6.4 Exercises and Solutions
  • References
  • 7 Heat Conduction Equation
  • 7.1 Opening Remarks
  • 7.2 Analytic Theory Based on a First-Principles Approach
  • 7.2.1 Exact Solution for Thermal Conductivity Distributed in a Power-Law Profile
  • 7.2.2 Exact Solution for Thermal Conductivity Distributed in a Linear Profile
  • 7.3 Differential Approximation Method (DAM): A Differential Equation Approach
  • 7.4 Computer Simulations Based on a Finite-Element Method
  • 7.5 Experiments Based on a Multi-layer Circular Structure
  • 7.6 Discussion and Conclusions
  • 7.7 Exercises and Solutions-1
  • References
  • 8 Thermal Band Theory
  • 8.1 Opening Remarks
  • 8.2 Boltzmann Transport Equation
  • 8.3 Scattering
  • 8.4 Narrow Thermal Phonon Spectrum