Nonlinear Heat Transfer: Mathematical Modeling and Analytical Methods addresses recent progress and original research in nonlinear science and its application in the area of heat transfer, with a particular focus on the most important advances and challenging applications. The importance of understanding analytical methods for solving linear and nonlinear constitutive equations is essential in studying engineering problems.
This book provides a comprehensive range of (partial) differential equations, applied in the field of heat transfer, tackling a comprehensive range of nonlinear mathematical problems in heat radiation, heat conduction, heat convection, heat diffusion and non-Newtonian fluid systems. Providing various innovative analytical techniques and their practical application in nonlinear engineering problems is the unique point of this book. Drawing a balance between theory and practice, the different chapters of the book focus not only on the broader linear and nonlinear problems, but also applied examples of practical solutions by the outlined methodologies.
1. Chapter 1. Introduction to Nonlinear Systems and Solution Methods - p. 1 2. Chapter 2. Conduction–Convection Heat Transfer - p. 36 3. Abstract - p. 36 4. 2.1 Introduction to Heat Transfer - p. 36 5. 2.2 Heat Conduction - p. 39 6. 2.3 Heat Convection - p. 41 7. 2.4 Nonlinear Conduction–Convection Heat Transfer Problems - p. 43 8. 2.5 Conclusion - p. 99 9. References - p. 101 10. Chapter 3. Radiation Heat Transfer - p. 105 11. Abstract - p. 105 12. 3.1 Heat Transfer by Thermal Radiation - p. 105 13. 3.2 Nonlinear Heat Transfer Problems with Thermal Radiation - p. 109 14. 3.3 Results and Discussion - p. 116 15. 3.4 Conclusion - p. 149 16. References - p. 150 17. Further Reading - p. 150 18. Chapter 4. Heat Transfer in Nanofluids - p. 153 19. Abstract - p. 153 20. 4.1 Application of Nanofluids in Heat Transfer - p. 153 21. 4.2 Nonlinear Heat Transfer Problems in Nanofluids - p. 157 22. 4.3 Results and Discussion - p. 170 23. 4.4 Results and Discussion - p. 210 24. 4.5 Conclusion - p. 219 25. References - p. 221 26. Chapter 5. Miscellaneous Problems in Heat Transfer and Fluid Mechanics - p. 225 27. Abstract - p. 225 28. 5.1 Introduction - p. 225 29. 5.2 Volume Flux and Average Velocity of Thin Film Flow - p. 226 30. 5.3 Laplace Equation Examples - p. 236 31. 5.4 The Partial Differential Model of Seepage Flow - p. 248 32. 5.5 The Fractional Partial Differential Model of Seepage Flow - p. 251 33. 5.6 Freezing of a Saturated Liquid of Semi-Infinite Extent - p. 257 34. 5.7 Conclusion - p. 266 35. References - p. 267 36. Index - p. 269
Nonlinear Heat Transfer: Mathematical Modeling and Analytical Methods addresses recent progress and original research in nonlinear science and its application in the area of heat transfer, with a particular focus on the most important advances and challenging applications. The importance of understanding analytical methods for solving linear and nonlinear constitutive equations is essential in studying engineering problems.
This book provides a comprehensive range of (partial) differential equations, applied in the field of heat transfer, tackling a comprehensive range of nonlinear mathematical problems in heat radiation, heat conduction, heat convection, heat diffusion and non-Newtonian fluid systems. Providing various innovative analytical techniques and their practical application in nonlinear engineering problems is the unique point of this book. Drawing a balance between theory and practice, the different chapters of the book focus not only on the broader linear and nonlinear problems, but also applied examples of practical solutions by the outlined methodologies.
1. Chapter 1. Introduction to Nonlinear Systems and Solution Methods - p. 1 2. Chapter 2. Conduction–Convection Heat Transfer - p. 36 3. Abstract - p. 36 4. 2.1 Introduction to Heat Transfer - p. 36 5. 2.2 Heat Conduction - p. 39 6. 2.3 Heat Convection - p. 41 7. 2.4 Nonlinear Conduction–Convection Heat Transfer Problems - p. 43 8. 2.5 Conclusion - p. 99 9. References - p. 101 10. Chapter 3. Radiation Heat Transfer - p. 105 11. Abstract - p. 105 12. 3.1 Heat Transfer by Thermal Radiation - p. 105 13. 3.2 Nonlinear Heat Transfer Problems with Thermal Radiation - p. 109 14. 3.3 Results and Discussion - p. 116 15. 3.4 Conclusion - p. 149 16. References - p. 150 17. Further Reading - p. 150 18. Chapter 4. Heat Transfer in Nanofluids - p. 153 19. Abstract - p. 153 20. 4.1 Application of Nanofluids in Heat Transfer - p. 153 21. 4.2 Nonlinear Heat Transfer Problems in Nanofluids - p. 157 22. 4.3 Results and Discussion - p. 170 23. 4.4 Results and Discussion - p. 210 24. 4.5 Conclusion - p. 219 25. References - p. 221 26. Chapter 5. Miscellaneous Problems in Heat Transfer and Fluid Mechanics - p. 225 27. Abstract - p. 225 28. 5.1 Introduction - p. 225 29. 5.2 Volume Flux and Average Velocity of Thin Film Flow - p. 226 30. 5.3 Laplace Equation Examples - p. 236 31. 5.4 The Partial Differential Model of Seepage Flow - p. 248 32. 5.5 The Fractional Partial Differential Model of Seepage Flow - p. 251 33. 5.6 Freezing of a Saturated Liquid of Semi-Infinite Extent - p. 257 34. 5.7 Conclusion - p. 266 35. References - p. 267 36. Index - p. 269
