Theoretical thermotics : transformation thermotics and extended theories for thermal metamaterials /
Saved in:
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 |
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