Geophysical Waves and Flows
Cambridge University Press, 10/31/2017
EAN 9781107186194, ISBN10: 1107186196
Hardcover, 530 pages, 25.4 x 18 x 2.8 cm
Language: English
Waves and flows are pervasive on and within Earth. This book presents a unified physical and mathematical approach to waves and flows in the atmosphere, oceans, rivers, volcanoes and the mantle, emphasizing the common physical principles and mathematical methods that apply to a variety of phenomena and disciplines. It is organized into seven parts: introductory material; kinematics, dynamics and rheology; waves in non-rotating fluids; waves in rotating fluids; non-rotating flows; rotating flows; and silicate flows. The chapters are supplemented by 47 'fundaments', containing knowledge that is fundamental to the material presented in the main text, organized into seven appendices: mathematics; dimensions and units; kinematics; dynamics; thermodynamics; waves; and flows. This book is an ideal reference for graduate students and researchers seeking an introduction to the mathematics of waves and flows in the Earth system, and will serve as a supplementary textbook for a number of courses in geophysical fluid dynamics.
Preface
Part I. Introductory Material
1. Introduction
2. Getting started
Part II. Kinematics, Dynamics and Rheology
3. Kinematics of deformation and flow
4. Dynamics and the stress tensor
5. Some thermodynamics
6. Shear rheology
7. Static state and perturbations
8. Introduction to rotating fluids
Part III. Waves in Non-Rotating Fluids
9. Introduction to waves
10. Elastic waves
11. Deep-water waves
12. Linear shallow-water waves
13. Non-linear shallow-water waves
14. Other non-rotating waves
Part IV. Waves in Rotating Fluids
15. Geostrophic, inertial and rossby waves
16. Rotationally modified waves
17. Equatorial waves
18. Coastal and topographic waves
Part V. Non-Rotating Flows
19. Orientation to one-dimensional flow
20. Steady channel flow
21. Unsteady channel flow
hydraulic shock waves
22. Gravitationally forced flows
23. A simple model of turbulent flow
24. Some simple turbulent flows
Part VI. Flows in Rotating Fluids
25. Ekman layers
26. Atmospheric flows
27. Oceanic currents
28. Vortices
Part VII. Silicate Flows
29. Equations governing silicate flows
30. Cooling the Earth
31. Cooling the mantle
32. Cooling the core
33. Overview of volcanic flows
34. Flow in volcanic conduits
35. Lava flow
Part VIII. Fundaments
Appendix A. Mathematics
Appendix B. Dimensions and units
Appendix C. Kinematics
Appendix D. Dynamics
Appendix E. Thermodynamics
Appendix F. Waves
Appendix G. Flows
References
Index.