Geophysical Convection Dynamics, Volume Five provides a single source reference that enables researchers to go through the basics of geophysical convection. The book includes basics on the dynamics of convection, including linear stability analysis, weakly nonlinear theory, effect of rotation, and double diffusion. In addition, it includes detailed descriptions of fully developed turbulence in well-mixed boundary layers, a hypothesis of vertical homogeneity, effects of moisture, and the formation of clouds. The book focuses on the presentation of the theoretical methodologies for studying convection dynamics with an emphasis on geophysical application that is relevant to fields across the earth and environmental sciences, chemistry and engineering.
1. Chapter 1. Introduction - p. 3 2. Chapter 2. Rayleigh–Taylor instability - p. 13 3. Chapter 3. Rayleigh–Bénard convection - p. 29 4. Chapter 4. Weakly nonlinear theory - p. 49 5. Chapter 5. Effect of rotation: Rayleigh–Bénard convection with rotation - p. 61 6. Chapter 6. Double-diffusion convection - p. 75 7. Chapter 7. Mantle convection - p. 91 8. Abstract - p. 91 9. 7.1 Introduction - p. 91 10. 7.2 Basic parameters - p. 92 11. 7.3 Convection in the limit of high viscosity - p. 92 12. 7.4 Depth-dependence of viscosity - p. 94 13. 7.5 Convection with internal heat source - p. 97 14. 7.6 Contribution of phase transition to convection - p. 102 15. 7.7 Fully-nonlinear regime: boundary-layer approach - p. 111 16. 7.8 The way beyond - p. 116 17. 7.9 Bibliography - p. 117 18. Appendix 7.A Dirac's delta - p. 117 19. References - p. 118 20. Chapter 8. Thermodynamics and dynamics - p. 119 21. Chapter 9. Atmospheric thermodynamics - p. 133 22. Chapter 10. Parcel stability analysis - p. 145 23. Chapter 11. Pressure problem - p. 159 24. Part II: Well-mixed convective boundary layer - p. 166 25. Chapter 12. Dry case - p. 169 26. Chapter 13. Well-mixed layer top entrainment - p. 181 27. Chapter 14. General formulation of the mixed layer - p. 193 28. Chapter 15. Cloud-topped boundary layer - p. 205 29. Abstract - p. 205 30. 15.1 Introduction - p. 205 31. 15.2 Thermodynamic relations - p. 207 32. 15.3 Cloud-top entrainment instability (CTEI) - p. 213 33. 15.4 Expression for the cloud-base height - p. 227 34. 15.5 Further perspectives: bibliographies - p. 229 35. References - p. 230 36. Chapter 16. Thermal - p. 233 37. Chapter 17. Plume - p. 251 38. Chapter 18. Numerical modeling - p. 269 39. Epilogue - p. 275 40. References - p. 277 41. Index - p. 285
Geophysical Convection Dynamics, Volume Five provides a single source reference that enables researchers to go through the basics of geophysical convection. The book includes basics on the dynamics of convection, including linear stability analysis, weakly nonlinear theory, effect of rotation, and double diffusion. In addition, it includes detailed descriptions of fully developed turbulence in well-mixed boundary layers, a hypothesis of vertical homogeneity, effects of moisture, and the formation of clouds. The book focuses on the presentation of the theoretical methodologies for studying convection dynamics with an emphasis on geophysical application that is relevant to fields across the earth and environmental sciences, chemistry and engineering.
1. Chapter 1. Introduction - p. 3 2. Chapter 2. Rayleigh–Taylor instability - p. 13 3. Chapter 3. Rayleigh–Bénard convection - p. 29 4. Chapter 4. Weakly nonlinear theory - p. 49 5. Chapter 5. Effect of rotation: Rayleigh–Bénard convection with rotation - p. 61 6. Chapter 6. Double-diffusion convection - p. 75 7. Chapter 7. Mantle convection - p. 91 8. Abstract - p. 91 9. 7.1 Introduction - p. 91 10. 7.2 Basic parameters - p. 92 11. 7.3 Convection in the limit of high viscosity - p. 92 12. 7.4 Depth-dependence of viscosity - p. 94 13. 7.5 Convection with internal heat source - p. 97 14. 7.6 Contribution of phase transition to convection - p. 102 15. 7.7 Fully-nonlinear regime: boundary-layer approach - p. 111 16. 7.8 The way beyond - p. 116 17. 7.9 Bibliography - p. 117 18. Appendix 7.A Dirac's delta - p. 117 19. References - p. 118 20. Chapter 8. Thermodynamics and dynamics - p. 119 21. Chapter 9. Atmospheric thermodynamics - p. 133 22. Chapter 10. Parcel stability analysis - p. 145 23. Chapter 11. Pressure problem - p. 159 24. Part II: Well-mixed convective boundary layer - p. 166 25. Chapter 12. Dry case - p. 169 26. Chapter 13. Well-mixed layer top entrainment - p. 181 27. Chapter 14. General formulation of the mixed layer - p. 193 28. Chapter 15. Cloud-topped boundary layer - p. 205 29. Abstract - p. 205 30. 15.1 Introduction - p. 205 31. 15.2 Thermodynamic relations - p. 207 32. 15.3 Cloud-top entrainment instability (CTEI) - p. 213 33. 15.4 Expression for the cloud-base height - p. 227 34. 15.5 Further perspectives: bibliographies - p. 229 35. References - p. 230 36. Chapter 16. Thermal - p. 233 37. Chapter 17. Plume - p. 251 38. Chapter 18. Numerical modeling - p. 269 39. Epilogue - p. 275 40. References - p. 277 41. Index - p. 285
