The effects of rotation on axisymmetric gravity currents

Journal of Fluid Mechanics

Volumn 362, Issue , 1998, Pages 17-51

  Ungarish, Marius ^a,b   Huppert, Herbert E ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

DENSITY (SPECIFIC GRAVITY); MATHEMATICAL MODELS; PARTICLES (PARTICULATE MATTER); SUSPENSIONS (FLUIDS); VOLUME FRACTION;

AXISYMMETRIC GRAVITY CURRENTS; CORIOLIS EFFECTS; SHALLOW WATER EQUATIONS;

ROTATIONAL FLOW;

EID: 0032074255     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112098008878     Document Type: Article

References (23)

1. ANDERSON, D. A., TANNEHILL, J. C. & PLETCHER R. M. 1984 Computational Fluid Mechanics and Heat Transfer. Hemisphere.
2. BENJAMIN, T. B. 1968 Gravity currents and related phenomena. J. Fluid Mech. 31, 209-248.
3. BONNECAZE, R. T., HUPPERT, H. E. & LISTER, J. R. 1993 Particle-driven gravity currents. J. Fluid Mech. 250, 339-369.
4. BONNECAZE, R. T., HALLWORTH, M. A., HUPPERT, H. E. & LISTER, J. R. 1995 Axisymmetric particle-driven gravity currents. J. Fluid Mech. 294, 93-121.
5. CHEN, J. C. 1980 Studies on gravitational spreading currents. PhD thesis, California Inst. Tech.
6. CSANADY, G. T. 1979 The birth and death of a warm core ring. J. Geophys. Res. 84, 777-780.
7. EINSTEIN, H. 1968 Deposit of suspended particles in a gravel bed. J. Hydraul. Div. ASCE 94, 1197-1205.
8. GRUNDY, R. E. 1986 Self-similar solutions of the shallow-water equations representing gravity currents with variable inflow. J. Fluid Mech. 169, 337-351.
9. FLIERL, G. R. 1979 A simple model for the structure of warm and cold core rings. J. Geophys. Res. 84, 781-785.
10. GRIFFITHS R. W. & HOPFINGER E. J. 1983 Gravity currents moving along a lateral boundary in a rotating fluid. J. Fluid Mech. 134, 357-399.
11. GRIFFITHS R. W. 1986 Gravity currents in rotating systems. Ann. Rev. Fluid Mech. 18, 59-89.
12. GRIFFITHS R. W. & LINDEN P. F. 1981 The stability of vortices in a rotating, stratified fluid. J. Fluid Mech. 105, 283-316.
13. HALLWORTH, M. A., HUPPERT, H. E., PHILLIPS, J. C. & SPARKS, R. S. 1996 Entrainment into two-dimensional and axisymmetric turbulent gravity currents J. Fluid Mech. 308, 289-311.
14. HOGG, A., UNGARISH, M. & HUPPERT H. E. 1998 Asymptotic solutions for particle-driven gravity currents (in preparation).
15. HOULT, D. P. 1972 Oil spreading on the sea. Ann. Rev. Fluid Mech. 4, 341-368.
16. HUPPERT H. E. & SIMPSON, J. E. 1980 The slumping of gravity currents, J. Fluid Mech. 99, 785-799.
17. MARTIN, D. & NOKES, R. 1988 Crystal settling in a vigorously convecting magma chamber. Nature 332, 543-536.
18. RICHARDSON, P. L. 1983 Gulf stream rings. In Eddies in Marine Science (ed. A. R. Robinson). Springer.
19. SAUNDERS, P. M. 1973 The instability of a baroclinic vortex. J. Phys. Oceanogr. 3, 61-65.
20. SIMPSON, J. E. 1997 Gravity Currents in the Environment and the Laboratory. Cambridge University Press.
21. SPARKS, R. S. J., BONNECAZE, R. T., HUPPERT, H. E., LISTER, J. R., HALLWORTH, M. A., MADER, H. & PHILLIPS, J. C. 1993 Sediment-laden gravity currents with reversing buoyancy. Earth. Planet. Sci. Lett. 114, 243-257.
22. UNGARISH, M. 1993 Hydrodynamics of Suspensions. Springer.
23. UNGARISH, M. & HUPPERT, H. E. 1998 Simple models of Coriolis-influenced axisymmetric particle-driven gravity currents. Intl J. Multiphase Flow (submitted).