Particle motions induced by spherical convective elements in stokes flow

Journal of Fluid Mechanics

Volumn 166, Issue , 1986, Pages 139-159

  Griffiths, R W ^a  

^a AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

FLUID DYNAMICS; VISCOSITY - THERMAL EFFECTS;

RAYLEIGH NUMBER; STOKES FLOW; VISCOUS THERMAL;

FLOW OF FLUIDS;

EID: 0022923417     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112086000071     Document Type: Article

References (23)

1. Batchelor, G. K. 1967 An Introduction to Fluid Dynamics. Cambridge University Press.
2. Darwin, C. 1953 Note on hydrodynamics. Proc. Camb. Phil. Soc. 49, 342–354.
3. Griffiths, R. W. 1986 Thermals in extremely viscous fluids, including the effects of temperature-dependent viscosity. J. Fluid Mech. 166, 115–138.
4. Griffiths, R. W. 1986 Dynamics of mantle thermals with constant buoyancy or anomalous internal heating. Earth Planet. Sci. Lett, (in press).
5. Griffiths, R. W. 1986 The differing effects of compositional and thermal buoyancies on the evolution of mantle diapirs. Phys. Earth Planet. Inter, (submitted).
6. Kojima, M., Hinch, E. J. & Acrivos, A. 1984 The formation and expansion of a toroidal drop moving in a viscous fluid. Phys. Fluids 27, 19–32.
7. Lamb, H. 1932 Hydrodynamics. Dover.
8. Lighthill, M. J. 1956 Drift. J. Fluid Mech. 1, 31–53.
9. Marsh, B. D. 1984 Mechanics and energetics of magma formation and ascension. In Explosive Volcanism: Inception, Evolution and Hazards, pp. 67–83. Washington: National Academy Press.
10. Marsh, B. D. & Kantha, L. H. 1978 On the heat and mass transfer from an ascending magma. Earth Planet. Sci. Lett. 39, 435–443.
11. Maxwell, J. C. 1870 On the displacement in a case of fluid motion. Proc. Lond. Math. Soc. 3, 82–87.
12. Morris, S. 1982 The effects of a strongly temperature dependent viscosity on slow flow past a hot sphere. J. Fluid Mech. 124, 1–26.
13. Morton, B. R. 1960 Weak thermal vortex rings. J. Fluid Mech. 9, 107–118.
14. Ramberg, H. 1981 Gravity, Deformation and the Earth's Crust 2nd edn. Academic.
15. Ribe, N. M. 1983 Diapirism in the Earth's mantle: experiments on the motion of a hot sphere in a fluid with temperature dependent viscosity. J. Volcanol. Geotherm. Res. 16, 221–245.
16. Schwerdtner, W. M. 1982 Salt rocks as natural analogues of Archaean gneiss diapirs. Geol. Rundschau, 71, 370–379.
17. Scorer, R. S. 1957 Experiments on convection of isolated masses of buoyant fluid. J. Fluid Mech. 2, 583–594.
18. Scorer, R. S. 1978 Environmental Aerodynamics. John Wiley.
19. Sparrow, E. M., Htjsar, R. B. & Goldstein, R. J. 1970 Observations and other characteristics of thermals. J. Fluid Mech. 41, 793–800.
20. Turner, J. S. 1957 Buoyant vortex rings. Proc. Roy. Soc. A 239, 61–75.
21. Turner, J. S. 1964 The flow into an expanding spherical vortex. J. Fluid Mech. 18, 195–208.
22. Turner, J. S. 1973 Buoyancy Effects in Fluids. Cambridge University Press.
23. Yih, C.-S. 1985 New derivations of Darwin's theorem. J. Fluid Mech. 152, 163–172.