On fluid motion in librating ellipsoids with moderate equatorial eccentricity

Journal of Fluid Mechanics

Volumn 673, Issue , 2011, Pages 468-479

  Zhang, Keke ^a   Chan, Kit H ^b   Liao, Xinhao ^c  

^a UNIVERSITY OF EXETER   (United Kingdom)

^b UNIVERSITY OF HONG KONG   (Hong Kong)

^c CHINESE ACADEMY OF SCIENCES   (China)

Author keywords

geophysical and geological flows; rotating flows; topographic effects

Indexed keywords

FLUID MECHANICS;

EKMAN NUMBERS; ELLIPSOIDAL CAVITY; EXPLICIT ANALYTICAL SOLUTIONS; GEOPHYSICAL AND GEOLOGICAL FLOWS; HOMOGENEOUS FLUIDS; ROTATING FLOW; THREE-DIMENSIONAL NUMERICAL SIMULATIONS; TOPOGRAPHIC EFFECTS;

ENGINEERING;

ECCENTRICITY; ELLIPSE; FLOW VELOCITY; NUMERICAL MODEL; ROTATING FLOW; TOPOGRAPHIC EFFECT; VISCOUS FLOW; ZONAL FLOW;

EID: 79956036762     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112011000735     Document Type: Article

References (12)

1. Aldridge, K. D. & Toomre, A. 1969 Axisymmetric inertial oscillations of a fluid in a rotating spherical container. J. Fluid Mech. 37, 307-323.
2. Busse, F. H. 2010 Mean zonal flows generated by librations of a rotating spherical cavity. J. Fluid Mech. 650, 505-512.
3. Calkins, M. A., Noir, J., Eldredge, J. & Aurnou, J. M. 2010 Axisymmetric simulations of libration-driven fluid dynamics in a spherical shell geometry. Phys. Fluids 22, 086602.
4. Dermott, S. F. 1979 Shapes and gravitational moments of satellites and asteroids. Icarus 37, 576-586.
5. Margot, J. L., Peale, S. J., Jurgens., R. F., Slade, M. A. & Holin, I. V. 2007 Large longitude libration of mercury reveals a molten core. Science 316, 710-714. (Pubitemid 46717672)
6. Noir, J., Hemmerlin, F., Wicht, J., Baca, S. M. & Aurnou, J. M. 2009 An experimental and numerical study of librationally driven flow in planetary cores and subsurface oceans. Phys. Earth Planet. Inter. 173, 141-152.
7. Rieutord, M. 1991 Linear theory of rotating fluids using spherical harmonics. Part II. Time-periodic flows. Geophys. Astrophys. Fluid Dyn. 59, 185-208
8. Sauret, A., Cebron, D., Morize, C. & Le Bars, M. 2010 Experimental and numerical study of mean zonal flows generated by librations of a rotating spherical cavity. J. Fluid Mech. 662, 260-268.
9. Tilgner, A. 1999. Driven inertial oscillations in spherical shells. Phys. Rev. E 59, 1789-1794. (Pubitemid 129586249)
10. William, J. G., Boggs, D. H., Yoder, C. F., Ratcliiff, J. T. & Dickey, J. O. 2001 Lunar rotational dissipation in solid body and molten core. J. Geophys. Res. 106, 27933-27968.
11. Zhang, K., Earnshaw, P., Liao, X. & Busse, F. H. 2001 On inertial waves in a rotating fluid sphere. J. Fluid Mech. 437, 103-119. (Pubitemid 32596298)
12. Zhang, K., Chan, K. & Liao, X. 2010 On fluid flows in precessing spheres in the mantle frame of reference. Phys. Fluid 22, 116604.