Azimuthal flow associated with inertial wave resonance in a precessing cylinder

Journal of Fluid Mechanics

Volumn 319, Issue , 1996, Pages 387-406

  Kobine, J Jonathan ^a,b  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

CYLINDERS (SHAPES); HYDRODYNAMICS; OSCILLATIONS; STABILITY; TURBULENCE; VISCOSITY; VORTEX FLOW;

AZIMUTHAL FLOW; CYLINDER PRECESSION; INERTIAL WAVE RESONANCE;

ROTATIONAL FLOW;

BODIES-CYLINDERS; VORTEX FLOW; WAVES;

EID: 0030185197     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112096007380     Document Type: Article

References (24)

1. BATCHELOR, G. K. 1967 An Introduction to Fluid Dynamics. Cambridge University Press.
2. BUSSE, F. H. 1968 Steady fluid flow in a precessing spheroidal shell. J. Fluid Mech. 33, 739-751.
3. CHANDRASEKHAR, S. 1961 Hydrodynamic and Hydromagnetic Stability. Oxford University Press.
4. FULTZ, D. 1959 A note on the overstability of the elastoid-inertia oscillations of Kelvin, Solberg and Bjerknes. J. Met. 16, 199-208.
5. GREENSPAN, H. P. 1968 The Theory of Rotating Fluids. Cambridge University Press.
6. GUNN, J. S. & ALDRIDGE, K. D. 1990 Inertial wave eigenfrequencies for a nonuniformly rotating fluid. Phys. Fluids A 2, 2055-2060.
7. HALL, P., SEDNEY, R. & GERBER, N. 1992 High Reynolds number flows in rotating and nutating cylinders: spatial eigenvalue approach. AIAA J. 30, 423-430.
8. HERBERT, T. 1986 Viscous fluid motion in a spinning and nutating cylinder. J. Fluid Mech. 167, 181-198.
9. HOLLERBACH, R. & KERSWELL, R. R. 1995 Oscillatory internal shear layers in rotating and precessing flows. J. Fluid Mech. 298, 327-339.
10. JOHNSON, L. E. 1967 The precessing cylinder. In Notes on the 1967 Summer Study Programme in Geophysical Fluid Dynamics at the Woods Hole Oceanographic Inst., vol. 2, pp. 85-108.
11. KELVIN, LORD 1880 Vibrations of a columnar vortex. Phil. Mag. 10, 155-168.
12. KERSWELL, R. R. 1995 On the internal shear layers spawned by the critical regions in oscillatory Ekman boundary layers. J. Fluid Mech. 298, 311-325.
13. KOBINE, J. J. 1995 Inertial wave dynamics in a rotating and precessing cylinder. J. Fluid Mech. 303, 233-252.
14. MANASSEH, R. 1992 Breakdown regimes of inertia waves in a precessing cylinder. J. Fluid Mech. 243, 261-296.
15. MANASSEH, R. 1994 Distortions of inertia waves in a rotating fluid cylinder forced near its fundamental mode resonance. J. Fluid Mech. 265, 345-370.
16. MCEWAN, A. D. 1970 Inertial oscillations in a rotating fluid cylinder. J. Fluid Mech. 40, 603-640.
17. POCHA, J. J. 1987 An experimental investigation of spacecraft sloshing. Space Commun. Broadcasting 5, 323-332.
18. ROBERTS, P. H. & STEWARTSON, K. 1965 On the motion of a liquid in a spheroidal cavity of a precessing rigid body. II. Proc. Camb. Phil. Soc. 61, 279-288.
19. SELMI, M. & HERBERT, T. 1995 Resonance phenomena in viscous fluids inside partially filled spinning and nutating cylinders. Phys. Fluids 7, 108-120.
20. SELMI, M., LI, R. & HERBERT, T. 1992 Eigenfunction expansion of the flow in a spinning and nutating cylinder. Phys. Fluids A 4, 1998-2007.
21. STEWARTSON, K. & ROBERTS, P. H. 1963 On the motion of a liquid in a spheroidal cavity of a precessing rigid body. J. Fluid Mech. 17, 1-20.
22. THOMPSON, R. 1970 Diurnal tides and shear instabilities in a rotating cylinder. J. Fluid Mech. 40, 737-751.
23. VANYO, J., WILDE, P., CARDIN, P. & OLSON, P. 1995 Experiments on precessing flows in the Earth's liquid core. Geophys. J. Intl 121, 136-142.
24. VAUGHN, H. R., OBERKAMPF, W. L. & WOLFE, W. P. 1985 Fluid motion inside a spinning nutating cylinder. J. Fluid Mech. 150, 121-138.