Heat Transport in Micro- and Nanoscale Thin Films presents aspects and applications of the principle methods of heat transport in relation to nanoscale films. Small-scale parts and thin films are widely used in the electronics industry. However, the drastic change in the thermal conductivity with reducing device size and film thickness modifies the energy transport by heat-carrying phonons in the film.
Energy transfer in small-sized devices and thin films deviate from the classical diffusion to radiative transport. This book deals with micro/nano scale heat transfer in small scale devices and the thin films, including interface properties of cross-plane transport. The book fills the gap between applications of the physical fundamentals and energy transport at the micro- and nano scale, which will be valuable for academics, researchers and students in the fields of materials science and energy transport.
1. Chapter 1. Introduction - p. 1 2. Chapter 2. Crystal Dynamics and Lattice Waves - p. 17 3. Chapter 3. Some Aspects of Statistical Thermodynamics - p. 41 4. Chapter 4. Analysis of Energy Transport Equations at Micro/Nanoscales - p. 75 5. Abstract - p. 75 6. 4.1 Introduction - p. 75 7. 4.2 Hyperbolic Heat Equation and Applications - p. 75 8. 4.3 Electron Kinetic Theory Approach for Energy Transfer in Metallic Films - p. 88 9. 4.4 Equation of Phonon Radiative Transfer - p. 107 10. 4.5 Thermal Stresses in Solids During Short Heating Durations and Applications - p. 150 11. 4.6 Schrödinger Equation - p. 166 12. 4.7 Closing Remarks - p. 177 13. References - p. 177 14. Chapter 5. Analytical Treatment of Phonon Transport in Thin Films - p. 181 15. Abstract - p. 181 16. 5.1 Introduction - p. 181 17. 5.2 Analytical Solution of Reduced Equation for Phonon Radiative Transport - p. 181 18. 5.3 Analytical Solution of Steady-State Equation for Phonon Radiative Transport (EPRT) Due to Temperature Disturbance Across a Thin Film - p. 189 19. 5.4 Analytical Solution to Formulation of Electron Kinetic Theory - p. 204 20. 5.5 Findings and Discussions - p. 210 21. 5.6 Closing Remarks - p. 223 22. References - p. 223 23. Chapter 6. Heat Transfer Applications in One- and Two-Dimensional Thin Films - p. 225 24. Abstract - p. 225 25. 6.1 Introduction - p. 225 26. 6.2 Transient Analysis and Case Studies - p. 226 27. 6.3 Cross-Plane Transport and Case Studies - p. 270 28. 6.4 Closing Remarks - p. 305 29. References - p. 306 30. Chapter 7. Thermal Boundary Resistance for Cross-Plane Transport and the Presence of Minute Vacuum Gap at Interface - p. 307 31. Abstract - p. 307 32. 7.1 Introduction - p. 307 33. 7.2 Application of Thermal Boundary Resistance Across Thin Films - p. 308 34. 7.3 Applications in Cross-Plane Transport Across Dielectric Thin Films With Minute Gap - p. 325 35. 7.4 Applications in Cross-Plane Transport Across Dielectric Thin Films With Minute Gap: Consideration of Near-Field Radiation - p. 341 36. 7.5 Applications in Cross-Plane Transport Across Metallic-Dielectric Thin Films Composite With Minute Gap Under Laser Irradiation - p. 355 37. 7.6 Closing Remarks - p. 372 38. References - p. 373 39. Chapter 8. Phonon Radiative Transfer in Curvilinear Coordinate Systems - p. 377 40. Abstract - p. 377 41. 8.1 Introduction - p. 377 42. 8.2 Curvilinear Coordinates - p. 378 43. 8.3 EPRT in Orthogonal Coordinate Systems - p. 379 44. 8.4 EPRT in Nonorthogonal Coordinate Systems - p. 386 45. 8.5 Application to Two-Dimensional Phonon Radiative Transfer - p. 396 46. 8.6 Concluding Remarks - p. 398 47. References - p. 399 48. Chapter 9. Concluding Remarks - p. 401 49. Index - p. 413
Heat Transport in Micro- and Nanoscale Thin Films presents aspects and applications of the principle methods of heat transport in relation to nanoscale films. Small-scale parts and thin films are widely used in the electronics industry. However, the drastic change in the thermal conductivity with reducing device size and film thickness modifies the energy transport by heat-carrying phonons in the film.
Energy transfer in small-sized devices and thin films deviate from the classical diffusion to radiative transport. This book deals with micro/nano scale heat transfer in small scale devices and the thin films, including interface properties of cross-plane transport. The book fills the gap between applications of the physical fundamentals and energy transport at the micro- and nano scale, which will be valuable for academics, researchers and students in the fields of materials science and energy transport.
1. Chapter 1. Introduction - p. 1 2. Chapter 2. Crystal Dynamics and Lattice Waves - p. 17 3. Chapter 3. Some Aspects of Statistical Thermodynamics - p. 41 4. Chapter 4. Analysis of Energy Transport Equations at Micro/Nanoscales - p. 75 5. Abstract - p. 75 6. 4.1 Introduction - p. 75 7. 4.2 Hyperbolic Heat Equation and Applications - p. 75 8. 4.3 Electron Kinetic Theory Approach for Energy Transfer in Metallic Films - p. 88 9. 4.4 Equation of Phonon Radiative Transfer - p. 107 10. 4.5 Thermal Stresses in Solids During Short Heating Durations and Applications - p. 150 11. 4.6 Schrödinger Equation - p. 166 12. 4.7 Closing Remarks - p. 177 13. References - p. 177 14. Chapter 5. Analytical Treatment of Phonon Transport in Thin Films - p. 181 15. Abstract - p. 181 16. 5.1 Introduction - p. 181 17. 5.2 Analytical Solution of Reduced Equation for Phonon Radiative Transport - p. 181 18. 5.3 Analytical Solution of Steady-State Equation for Phonon Radiative Transport (EPRT) Due to Temperature Disturbance Across a Thin Film - p. 189 19. 5.4 Analytical Solution to Formulation of Electron Kinetic Theory - p. 204 20. 5.5 Findings and Discussions - p. 210 21. 5.6 Closing Remarks - p. 223 22. References - p. 223 23. Chapter 6. Heat Transfer Applications in One- and Two-Dimensional Thin Films - p. 225 24. Abstract - p. 225 25. 6.1 Introduction - p. 225 26. 6.2 Transient Analysis and Case Studies - p. 226 27. 6.3 Cross-Plane Transport and Case Studies - p. 270 28. 6.4 Closing Remarks - p. 305 29. References - p. 306 30. Chapter 7. Thermal Boundary Resistance for Cross-Plane Transport and the Presence of Minute Vacuum Gap at Interface - p. 307 31. Abstract - p. 307 32. 7.1 Introduction - p. 307 33. 7.2 Application of Thermal Boundary Resistance Across Thin Films - p. 308 34. 7.3 Applications in Cross-Plane Transport Across Dielectric Thin Films With Minute Gap - p. 325 35. 7.4 Applications in Cross-Plane Transport Across Dielectric Thin Films With Minute Gap: Consideration of Near-Field Radiation - p. 341 36. 7.5 Applications in Cross-Plane Transport Across Metallic-Dielectric Thin Films Composite With Minute Gap Under Laser Irradiation - p. 355 37. 7.6 Closing Remarks - p. 372 38. References - p. 373 39. Chapter 8. Phonon Radiative Transfer in Curvilinear Coordinate Systems - p. 377 40. Abstract - p. 377 41. 8.1 Introduction - p. 377 42. 8.2 Curvilinear Coordinates - p. 378 43. 8.3 EPRT in Orthogonal Coordinate Systems - p. 379 44. 8.4 EPRT in Nonorthogonal Coordinate Systems - p. 386 45. 8.5 Application to Two-Dimensional Phonon Radiative Transfer - p. 396 46. 8.6 Concluding Remarks - p. 398 47. References - p. 399 48. Chapter 9. Concluding Remarks - p. 401 49. Index - p. 413
