Hydrodynamics of Oceans and Atmospheres. ([2015?])

• Record Type: Book
• Other Names: Eckart, Carl, 1902-1973
• Contents: Preface; ; ; Chapter I. The Basic Equations; ; ; 1. Introduction; ; ; 2. Thermodynamics; ; ; 3. The Thermodynamic Functions of an Ideal Gas; ; ; 4. The Thermodynamic Coefficients for Water; ; ; 5. Hydrodynamics; ; ; Gravitational Potential; ; ; Rotation; ; ; Forces; ; ; Accession of Heat, Advection; ; ; Elimination of Entropy; ; ; Conservation of Energy; ; ; Chapter II. The Perturbation Equations; ; ; 6. Introduction; ; ; 7. The Zero-Order Solution; ; ; Barotropic States; ; ; The Gradients; ; ; 8. Zero-Order States of an Ideal Gas; ; ; The Isothermal Atmosphere; ; ; The Isentropic Atmosphere; ; ; Atmosphere with Constant Temperature Gradient; ; ; General Case; ; ; 9. The First-Order Equations; ; ; Interpretations; ; ; Vertical Displacement; ; ; 10. The Additive Barotropic Terms; ; ; 11. Boundary Conditions; ; ; Chapter III. Steady Motions; ; ; 12. Introduction; ; ; Mean Pressure; ; ; The Zonal Component; ; ; The Tesseral Component; ; ; The Oceans; ; ; The Atmosphere and Oceans as a Heat Engine; ; ; The Equations; ; ; 13. Free Steady Motion, No Rotation; ; ; Plane Level Surfaces; ; ; Spherical Level Surfaces; ; ; 14. Second-Order Instability; The Secular Equation; ; ; Secular Equations; ; ; Relation to the Vorticity Theorem; ; ; A First Integral of the Secular Equation; ; ; Relation to the Bernoulli Theorem; ; ; 15. Free Steady Motion with Rotation; ; ; The Geostrophic Equation; ; ; Relation between Density and Pressure; ; ; Planetary Vorticity; ; ; Plane Level Surfaces; ; ; Spherical Level Surfaces; ; ; 16. Pure Convection, No Rotation; ; ; The Vertical Velocity; ; ; Boundary Conditions; ; ; Consequences of the Conservation of Matter; ; ; Explicit Solution of the Equations; ; ; Plane Level Surfaces; ; ; Spherical Level Surfaces; ; ; 17. Pure Convection, with Rotation; ; ; Thermobaric Motion; ; ; Density and Pressure; ; ; Plane Level Surfaces; ; ; Spherical Level Surfaces; ; ; 18. Hadley's Hypothesis of Zonal Heating; ; ; No Rotation; ; ; Instability of the Hadley Vortices; ; ; 19. Analysis of the Earth's Permanent Pressure Field; ; ; The Zonal Component of Pressure; ; ; The Tesseral Component of pressure; ; ; The Effects of Terrain; ; ; Chapter IV. The Field Equations; ; ; 20. Introduction; ; ; 21. The External and Thermobaric Energies; ; ; 22. The Field Variables; ; ; Oceanic Case; ; ; Isothermal Atmosphere; ; ; Atmosphere with Constant Temperature Gradient; ; ; 23. The Field Equations; ; ; 24. Significance of the Coefficients N and T; ; ; 25. Special Formula for the Coefficients; ; ; Perfect Gas; ; ; Fresh Water; ; ; Sea-water; ; ; Chapter V. The Earth's Atmosphere, Oceans and Lakes; ; ; 26. Introduction; ; ; 27. The Stratification of the Oceans; ; ; Large-scale Averages; ; ; Small-scale Averages; ; ; 28. The Stratification of Freshwater Lakes; ; ; 29. The Stratification of the Earth's Atmosphere; ; ; 30. Planetary Rotation and Cyclogenesis; ; ; Early Ideas; ; ; Observations of Redfield and Reid: Cyclones; ; ; Tracy's Theory; ; ; Hann's Theory; ; ; Cyclones and Anticyclones; ; ; Vorticity; ; ; Helmholtz and Bjerknes Vorticity Theorems; ; ; 31. First-Order Cyclogenesis; ; ; No Rotation; ; ; Rotation; ; ; Rotation with Spherical Level Surfaces; ; ; Summary; ; ; Chapter VI. General Theorems concerning the Field Equations; ; ; 32. Introduction; ; ; 33. The Eigensolutions; ; ; 34. The Expansion Theorem; ; ; Expansion Theorem (for a Finite Volume); ; ; Expansion Theorem (for an Infinite Volume); ; ; Chapter VII. Formulation of the Major Mathematical Problems; ; ; 35. Introduction; ; ; 36. The Case of no Rotation; ; ; Plane Level Surfaces; ; ; Residual Equations; ; ; Separation of Variables: The Two-dimensional Wave Equation; ; ; Spherical Level Surfaces; ; ; Residual Equations; ; ; Separation of Variables; ; ; Wave Equation for a Spherical Surface; ; ; 37. Rotation with Plane Level Surfaces; ; ; The Traditional Approximations; ; ; Separation of Variables; ; ; Two-Dimensional Wave Equation; ; ; Calculation without the Approximation; ; ; Separation of Variables; ; ; 38. Rotation with Spherical Level Surfaces; ; ; The Traditional Approximation; ; ; Separation of Variables: Laplace's Tidal Equation; ; ; Omission of the Traditional Approximations; ; ; 39. Complex Vectors and the Hodograph; ; ; No Rotation; ; ; Rotation: Traditional Approximation; ; ; Rotation: Without Approximation; ; ; Chapter VIII. The Isothermal Atmosphere: Plane Level Surfaces without Rotation; ; ; 40. Introduction; ; ; 41. Lamb's Waves; ; ; 42. Other Eigensolutions; Simple Waves; ; ; 43. The Propagation Surface; Phase Velocity; ; ; 44. Rays and Group Velocity; ; ; 45. The Pressure-Entropy Impedance; ; ; 46. The Flow and Partition of Energy in Simple Waves; ; ; 47. The Eigensolutions; ; ; The Phase Diagram; ; ; The Hodograph; ; ; 48. The Gravity Waves and the Fluctuating Wind; ; ; Chapter IX. The Isothermal Atmosphere: Plane Level Surfaces with Rotation; ; ; 49. Vertical Axis of Rotation; ; ; 50. Lamb's Waves; ; ; 51. Simple Waves and Eigensolutions; ; ; 52. Sub-Critical Stability; ; ; 53. Inclined Axis of Rotation; ; ; Lamb's Waves</
• Publisher Details: Oxford : Pergamon
• Publication Date: 2015
• Copyright Date: 1960
• Extent: 1 online resource
• Subjects: 532.5; Hydrodynamics; Ocean; Atmosphere; Atmosphere; Hydrodynamics; Ocean; Electronic books
• Languages: English
• ISBNs: 9781483149561; 1483149560
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.