Introduction to thermal cloaking : theory and analysis in conduction and convection / / Woon-Shing Yeung and Ruey-Jen Yang

• Record Nr.: UNINA9910743390203321
• Autore: Yeung Woon-Shing
• Pubbl/distr/stampa: Gateway East, Singapore : , : Springer, , [2021]; ©2021
• ISBN: 981-16-7549-X; 981-16-7550-3
• Descrizione fisica: 1 online resource (264 pages)
• Disciplina: 621.312423
• Soggetti: Thermal barrier coatings; Heat - Transmission
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: Intro -- Preface I -- Preface II -- Acknowledgements -- Contents -- About the Authors -- 1 Introduction -- 1.1 What Is a Thermal Cloak? -- 1.2 Historical Perspective: General Cloaking -- 1.3 Historical Perspective: Thermal Cloaking -- 1.4 Book Organization -- References -- 2 Review of Curvilinear Coordinates -- 2.1 Introduction -- 2.2 Scale Factors -- 2.3 Relationships of Unit Base Vectors -- 2.4 Relationship to Jacobian -- 2.5 Gradient and Divergence in Curvilinear Coordinates -- 2.6 Summary -- Reference -- 3 Review of Heat Conduction -- 3.1 Introduction -- 3.2 Matrix Representation of Heat Conduction Equation -- 3.3 Heat Conduction in Anisotropic Media -- 3.4 Summary -- References -- 4 Transformation Theory for Conduction Thermal Cloaking -- 4.1 Introduction -- 4.2 Fundamental Theory -- 4.2.1 Homogenization of Metamaterials -- 4.2.2 Arbitrary Two-Dimensional Shape -- 4.3 Numerical and Experimental Verification -- 4.4 Temperature Distribution Within Cloak -- 4.4.1 Arbitrary Shape -- 4.4.2 Nonlinear Background Temperature Distribution -- 4.5 Summary -- References -- 5 Bilayer Theory for Conduction Thermal Cloaking -- 5.1 Introduction -- 5.2 Basic Bilayer Theory -- 5.3 Does a 1D Bilayer Thermal Cloak Exist? -- 5.4 General Remarks on Bilayer Thermal Cloak -- 5.5 Temperature Distribution in a Circular Bilayer Cloak -- 5.6 Elliptical Bilayer -- 5.7 Trilayer Thermal Cloak -- 5.7.1 Trilayer Theory ; -- 5.7.2 Temperature Distribution in a Trilayer Cloak -- 5.7.3 Spherical Trilayer -- 5.8 Effect of Thermal Contact Resistance -- 5.9 Nonlinear Background Temperature Distribution -- 5.9.1 Examples of Specific Background Temperature Distributions -- 5.9.2 Inner Layer Temperature Distribution -- 5.9.3 Section Summary -- 5.10 Summary -- References -- 6 General Consideration of Bilayer Thermal Cloaks -- 6.1 Introduction -- 6.2 Cloaked Sensor.; 6.2.1 Circular Cloaked Sensor -- 6.2.2 Elliptical Cloaked Sensor -- 6.3 Bilayer with Conducting Inner Layer -- 6.3.1 General Circular Bilayer -- 6.3.2 General Elliptical Bilayer -- 6.4 Application to Bilayer Cloak Design -- 6.5 Bilayer Versus Metamaterials -- 6.6 Inverse Problem: Bilayer Cloak of Arbitrary Shape -- 6.6.1 Uniqueness and Existence of Solution for the Inverse Formulation -- 6.7 Summary -- References -- 7 Transformation Theory for Convection Thermal Cloaking -- 7.1 Introduction -- 7.2 Flow in Porous Media -- 7.2.1 Anisotropic Porous Media -- 7.2.2 Section Summary -- 7.3 Transformation Theory -- 7.3.1 Hydrodynamic Cloak -- 7.3.2 Convection Cloak -- 7.3.3 Analytical Results for the Convection Cloak -- 7.4 Summary -- References -- 8 Bilayer Theory for Convection Thermal Cloaking -- 8.1 Introduction -- 8.2 Theory -- 8.3 Two-Dimensional Systems: Planar Cloaks -- 8.3.1 Flow in x Direction -- 8.3.2 Flow in y Direction -- 8.4 Three-Dimensional Systems: Spherical Cloaks -- 8.5 Analytical Results -- 8.5.1 Analytical Results for Spherical Cloaks -- 8.6 Numerical Simulation -- 8.6.1 Simulation Results for Spherical Cloaks -- 8.7 Summary -- References -- 9 Transient Thermal Cloaking -- 9.1 Introduction -- 9.2 Transient Transformation Theory for Conduction -- 9.2.1 Initial Temperature Distribution in Cloak -- 9.2.2 Analytical Example -- 9.2.3 Practical Example -- 9.2.4 Realization of Transient Thermal Cloaks -- 9.3 Transient Behavior of Bilayer Thermal Cloaks for Conduction -- 9.3.1 Simulation and Experimental Studies of Transient Bilayer Cloaks -- 9.3.2 Effect of Volumetric Heat Capacity -- 9.4 Transient Transformation Theory for Convection Cloaks -- 9.5 Transient Bilayer Theory for Convection Cloaks -- 9.6 Summary -- References -- 10 Numerical Simulations and Experiments -- 10.1 Introduction -- 10.2 Numerical Simulations.; 10.2.1 Numerical Procedures -- 10.2.2 Overview of COMSOL -- 10.2.3 Examples: Application of COMSOL -- 10.3 Experimental Study -- 10.3.1 Common Apparatus in Thermal Cloaking Experiments -- 10.3.2 Example: Experimental Investigation of a Quadrilateral Bi-Material Thermal Cloak -- 10.4 Summary -- References -- 11 Potential Engineering Applications and Future Prospects -- 11.1 Introductory Remarks -- 11.2 Potential Applications -- 11.3 Thermal Metamaterials Research -- 11.3.1 Metamaterials for Multi-field Applications -- 11.4 Concluding Remarks: Future Prospects and Outlook -- References -- Appendix A Derivation of Principal Conductivities in Spherical Coordinates -- Appendix B Derivation of Principal Conductivities in Polar Coordinates -- Appendix C Direct Solution Path to Eq. 4.4.9摥映數爠eflinklinearTcloak4.4.94 -- Appendix D Step-by-Step COMSOL Execution for Example 3 -- References.