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Look Inside Theory and Modeling of Rotating Fluids

Theory and Modeling of Rotating Fluids
Convection, Inertial Waves and Precession

$185.00 (C)

Part of Cambridge Monographs on Mechanics

Authors:
Keke Zhang, University of Exeter
Xinhao Liao, Chinese Academy of Sciences

Date Published: May 2017
availability: Available
format: Hardback
isbn: 9780521850094

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A systematic account of the theory and modelling of rotating fluids that highlights the remarkable advances in the area and brings researchers and postgraduate students in atmospheres, oceanography, geophysics, astrophysics and engineering to the frontiers of research. Sufficient mathematical and numerical detail is provided in a variety of geometries such that the analysis and results can be readily reproduced, and many numerical tables are included to enable readers to compare or benchmark their own calculations. Traditionally, there are two disjointed topics in rotating fluids: convective fluid motion driven by buoyancy, discussed by Chandrasekhar (1961), and inertial waves and precession-driven flow, described by Greenspan (1968). Now, for the first time in book form, a unified theory is presented for three topics - thermal convection, inertial waves and precession-driven flow - to demonstrate that these seemingly complicated, and previously disconnected, problems become mathematically simple in the framework of an asymptotic approach that incorporates the essential characteristics of rotating fluids.
- The first systematic account of the theory and modelling of rotating fluids since 1968
- Unifies three topics of rotating fluids which were traditionally treated separately: thermal convection, inertial waves, and precession-driven flow
- Provides updated theories of hydrodynamical processes in rotating fluid systems
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Product details
- Date Published: May 2017
- format: Hardback
- isbn: 9780521850094
- length: 540 pages
- dimensions: 254 x 182 x 31 mm
- weight: 1.27kg
- availability: Available
Table of Contents
Part I. Fundamentals of Rotating Fluids:
1. Basic concepts and equations for rotating fluids
Part II. Inertial Waves in Uniformly Rotating Systems:
2. Introduction
3. Inertial modes in rotating narrow-gap annuli
4. Inertial modes in rotating cylinders
5. Inertial modes in rotating
6. Inertial modes in rotating oblate spheroids
7. A proof of completeness of inertial modes in rotating channels
8. Indications of completeness of inertial modes in rotating spheres
Part III. Precession and Libration in Non-Uniformly Rotating Systems:
9. Introduction
10. Fluid motion in precessing narrow-gap annuli
11. Fluid motion in precessing circular cylinders
12. Fluid motion in precessing spheres
13. Fluid motion in longitudinally librating spheres
14. Fluid motion in precessing oblate spheroids
15. Fluid motion in latitudinally librating spheroids
Part IV. Convection in Uniformly Rotating Systems:
16. Introduction
17. Convection in rotating narrow-gap annuli
18. Convection in rotating cylinders
19. Convection in rotating spheres or spherical shells
Appendix A
Appendix B
References
Index.
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Authors
Keke Zhang, University of Exeter
Keke Zhang, Professor of Geophysical and Astrophysical Fluid Dynamics at the University of Exeter, obtained his B.Sc. in 1982 from Nanjing University, China, his M.Sc. in 1985 and his Ph.D. in 1987 from the University of California, Los Angeles. He is a Fellow of both the American Geophysical Union and the Royal Astronomical Society. Professor Zhang has authored over 180 publications in peer-reviewed scientific journals.
Xinhao Liao, Chinese Academy of Sciences
Xinhao Liao, Professor of Celestial Dynamics at the Chinese Academy of Sciences, obtained his B.Sc. in 1983 and his Ph.D. in 1989 from Nanjing University, China.