Two-dimensional stokes flow around a heated cylinder: A possible application for diapirs in the mantle

Journal of Geophysical Research: Solid Earth

Volumn 112, Issue 9, 2007, Pages

  Ziethe, R ^a   Spohn, T ^b  

^a UNIVERSITY OF BERN   (Switzerland)

^b GERMAN AEROSPACE CENTER DLR   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CYLINDER; DIAPIR; FLOW AROUND OBJECT; MANTLE; RHEOLOGY; TWO-DIMENSIONAL FLOW;

EID: 36048981300     PISSN: 21699313     EISSN: 21699356     Source Type: Journal    
DOI: 10.1029/2006JB004789     Document Type: Article

References (41)

1. Balog, P. S., R. A. Secco, D. C. Rubie, and D. J. Frost (2003), Equation of state of liquid Fe-10wt% S: Implications for the metallic cores of planetary bodies, J. Geophys. Res., 108(B2), 2124, doi:10.1029/ 2001JB001646.
2. Batchelor, G. (1981), An Introduction to Fluid Dynamics, Cambridge Univ. Press, Cambridge, U. K.
3. Breuer, D. (2003), Thermal evolution, crustal growth and magnetic field history of Mars, habilitationschrift, Univ. Münster, Münster, Germany.
4. Bruhn, D., N. Groebner, and D. L. Kohlstedt (2000), An interconnected network of core-forming melts produced by shear deformation, Nature, 403, 883-886.
5. Cathles, L. M. (1975), The Viscosity of the Earth's Mantle, Princeton Univ. Press, Princeton, N. J.
6. Folkner, W. M., C. F. Yoder, D. Yuan, E. M. Standish, and R. A. Preston (1997), Interior structure and seasonal Mass redistribution of Mars from radio tracking of Mars Pathfinder, Science, 278, 1749-1752.
7. Holleman, A. F., and E. Wilberg (1985), Lehrbuch der Anorganischen Chemie, Walter de Gryter, New York.
8. Kahn, A., K. Mosegaard, and K. L. Rasmussen (2000), Lunar models obtained from a Monte Carlo inversion of the Apollo seismic P and S waves, Lunar Planet. Sci. Conf., XXXI, Abstract 1341.
9. Kull, H. J. (1991), Theory of the Rayleigh-Taylor instability, Phys. Rep., 206, 197-325.
10. Larimer, J. W., and M. A. Herpfer (1994), An experimental study of core formation: metallic melt-silicate segregation, paper presented at Workshop on the formation of the Earth's core, Max-Planck-Inst. fr Chemie, Mainz, Germany.
11. Lodders, K., and B. Fegley (1998), The Planetary Scientists Companion, Oxford Univ. Press, New York.
12. Münker, C., J. A. Pfänder, S. Weyer, A. Büchl, T. Kleine, and K. Mezger (2003), Evolution of planetary cores and the Earth-Moon system from Nb/Ta systematics, Science, 301, 84-87.
13. Palme, H., B. Spetteland, H. Wänke, A. Bischoff, and D. Stöffler (1984), Early differentiation of the Moon: Evidence from trace elements in plagioclase, Lunar Planet. Sci. Lett., 15th, J. Geophys. Res., 89, C3-C15.
14. Righter, K., and M. J. Drake (1996), Core formation in Earth's Moon, Mars and Vesta, Icarus, 124, 513-529.
15. Rubie, D. C., H. Melosh, J. Reid, C. Liebske, and K. Righter (2003), Mechanisms of metal-silicate equilibration in the terrestrial magma ocean, Earth Planet. Sci. Lett., 205, 239-255.
16. Safronov, V. S. (1978), The heating of the Earth during its formation, Icarus, 33, 3-12.
17. Schlichting, H. (1982), Grenzschicht Theorie, 8th ed., G. Braun, Karslruhe, Germany.
18. Schmachtel, R. (2003), Robuste lineare und nichtlineare Lösungsverfahren für die inkompressiblen Navier-Stokes-Gleichungen, Ph.D. thesis, Fachber. Math., Univ. Dortmund, Dortmund, Germany.
19. Schubert, G., J. Anderson, T. Spohn, and W. McKinnon (2004), Interior composition, structure and dynamics of the Galilean satellites, in Jupiter: The Planet, Satellites and Magnetosphere, edited by F. Bagenal, T. E. Dowling, and W. B. McKinnon, pp. 281-307, Cambridge Univ. Press, Cambridge, U. K.
20. Sohl, F., and T. Spohn (1997), The interior structure of Mars: Implications from SNC meteorites, J. Geophys. Res., 102, 1613-1635.
21. Sohl, F., T. Spohn, D. Breuer, and K. Nagel (2002), Implications from galileo observations on the interior structure and chemistry of the galilean satellite, Icarus, 157, 104-119.
22. Sommerfeld, A. (1992), Mechanik der deformierbaren Materie, 6th ed., Harry Deutsch, Frankfurt am Main, Germany.
23. Spohn, T., F. Sohl, K. Wieczerkowski, and V. Conzelmann (2001), The interior structure of mercury: What we know, what we expect from bepicolombo, Planet. Space Sci., 49, 1561-1570.
24. Stephenson, A., S. Runcorn, and D. Collinson (1975), On changes in the intensity of the ancient lunar magnetic field, Lunar Planet. Sci Conf, 6, 3049-3062.
25. Stevenson, D. J. (1989), Formation and early evolution of the Earth, in Mantle Convection, edited by W. Peltier, pp. 817-873, Gordon and Breach, New York.
26. Stevenson, D. J. (1990), Fluid dynamics of core formation, in Origin of the Earth, edited by H. Newsom and J. Jones, pp. 231-249, Oxford Univ. Press, New York.
27. Stevenson, D. J., T. Spohn, and G. Schubert (1983), Magnetism and Thermal Evolution of the Terrestrial Planets, Icarus, 54, 466-489.
28. Stöcker, H. (1994), Taschenbuch der Physik, Harry Deutsch, Frankfurt am Main, Germany.
29. Trottenberg, U., C. Oasterlee, and A. Schüller (2001), Multigrid, Academic, London.
30. Turcotte, D., and G. Schubert (2002), Geodynamics, 2nd ed., John Wiley, London.
31. Turek, S. (1998), Efficient solvers for inkompressible flow problems: An algorithmic approach in view of computational aspects, Springer, Heidelberg, Germany.
32. van Bargen, N., and H. S. Waff (1986), Permeabilities, interfacial areas and curvatures of partially molten systems: Results of numerical computations of equilibrium microstructures, J. Geophys. Res., 91, 9261-9276.
33. van den Berg, A. P., and D. A. Yuen (2002), Delayed cooling of the Earth's mantle due to variable thermal conductivity and the formation of a low conductivity zone, Earth Planet. Sci. Lett., 199, 403-413.
34. van den Berg, A. P., D. A. Yuen, and V. Steinbach (2001), The Effects of variable thermal conductivity on mantle heat-transfer, Geophys. Res. Lett., 28, 875-878.
35. Wänke, H., et al. (1977), On the chemistry of lunar samples and chondrites. Primary matter in the lunar highlands: A re-evaluation, Lunar Planet. Sci. Conf., 8, 2191-2213.
36. Wesseling, P. (1992), An Introduction to Multigrid Methods, John Wiley, London.
37. Whitehead, J. A., and D. S. Luther (1975), Dynamics of laboratory diapir and plume models, J. Geophys. Res., 80, 705-717.
38. Woidt, W. D. (1978), Finite element calculations applied to salt dome analysis, Tectonophysics, 50, 369-386.
39. Yoder, C. F., A. S. Konopliv, D. N. Yuan, E. M. Standish, and W. M. Folkner (2003), Fluid core size of Mars from detection of the solar tide, Science, 300, 299-303.
40. Yoshino, T., M. Walter, and T. Katsura (2003), Core formation in planetesimals triggered by permeable flow, Nature, 422.
41. Zahnle, K. J., J. G. Kasting, and J. B. Pollack (2003), Evolution of a steam atmosphere during Earth's accretion, Icarus, 74, 62-97.