No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
Symmetry and plate-like convection in fluids with temperature-dependent viscosity
4. S. Hoyas, A. M. Mancho, H. Herrero, N. Garnier, and A. Chiffaudel, “Bénard–Marangoni convection in a differentially heated cylindrical cavity,” Phys. Fluids 17, 054104 (2005).
7. V. S. Solomatov and L. N. Moresi, “Three regimes of mantle convection with non-newtonian viscosity and stagnant lid convection on the terrestrial planets,” Geophys. Res. Lett. 24(15), 1907–1910, doi:10.1029/97GL01682 (1997).
8. S. C. Solomon, S. E. Smrekar, D. L. Bindschadler, R. E. Grimm, W. M. Kaula, R. J. Phillips, R. S. Saunders, G. Schubert, S. W. Squyres, and E. R. Stofan, “Venus tectonics: An overview of Magellan observations,” J. Geophys. Res. 97, 13199–132555, doi:10.1029/92JE01418 (1992).
9. P. Machetel and P. Weber, “Intermittent layered convection in a model mantle with an endothermic phase change at 670 km,” Nature (London) 350, 55–57 (1991).
11. X. Liu and S. Zhong, “Analyses of marginal stability, heat transfer and boundary layer properties for thermal convection in a compressible fluid with infinite prandtl number,” Geophys. J. Int. 194, 125–144 (2013).
13. F. Dubuffet, D. A. Yuan, and E. S. G. Rainey, “Controlling thermal chaos in the mantle by positive feedback from radiative thermal conductivity,” Nonlinear Proc. Geophys. 9, 311–323 (2002).
15. L. N. Moresi and V. S. Solomatov, “Numerical investigation of 2D convection with extremely large viscosity variations,” Phys. Fluids 7(9), 2154–2162 (1995).
16. V. S. Solomatov and L. N. Moresi, “Stagnant lid convection on Venus,” J. Geophys. Res. 101, 4737–4753, doi:10.1029/95JE03361 (1996).
18. R. Trompert and U. Hansen, “Mantle convection simulations with reologies that generate plate-like behaviour,” Nature (London) 395, 686–689 (1998).
22. M. Ulvrová, S. Labrosse, N. Coltice, P. Raback, and P. J. Tackley, “Numerical modelling of convection interacting with a melting and solidification front: Application to the thermal evolution of the basal magma ocean,” Phys. Earth Planet. Inter. 206–207, 51–66 (2012).
29. J. Curbelo and A. M. Mancho, “Spectral numerical schemes for time-dependent convection with viscosity dependent on temperature,” Commun. Nonlinear Sci. Numer. Simul. 19, 538–553 (2014).
30. J. Curbelo and A. M. Mancho, “Bifurcations and dynamics in convection with temperature-dependent viscosity under the presence of the O(2) symmetry,” Phys. Rev. E 88(4), 043005 (2013).
33. P. Chossat, “Bifurcation and stability of convective flows in a rotating or not rotating spherical shell,” SIAM J. Appl. Math. 37, 624–647 (1979).
34. M. Golubitsky and D. G. Schaeffer, “Bifurcation with O(3) symmetry including applications to the Bénard problem,” Commun. Pure. Appl. Math. 35, 81–11 (1982).
36. G. F. Davies, Dynamic Earth. Plates, Plumes and Mantle Convection. (Cambridge University Press, Cambridge, England, 2001).
37. S. A. Weinstein, “Catastrophic overturn of the earth's mantle driven by multiple phase changes and internal heat generation,” Geophys. Res. Lett. 20, 101–104, doi:10.1029/93GL00044 (1993).
Article metrics loading...
We explore the instabilities developed in a fluid in which viscosity depends on temperature. In particular, we consider a dependency that models a very viscous (and thus rather rigid) lithosphere over a convecting mantle. To this end, we study a 2D convection problem in which viscosity depends on temperature by abruptly changing its value by a factor of 400 within a narrow temperature gap. We conduct a study which combines bifurcation analysis and time-dependent simulations. Solutions such as limit cycles are found that are fundamentally related to the presence of symmetry. Spontaneous plate-like behaviors that rapidly evolve towards a stagnant lid regime emerge sporadically through abrupt bursts during these cycles. The plate-like evolution alternates motions towards either the right or the left, thereby introducing temporary asymmetries on the convecting styles. Further time-dependent regimes with stagnant and plate-like lids are found and described.
Full text loading...
Most read this month