HR: 08:50h
AN: T41H-04 [Abstracts]
TI: Recycling the lid: The influence of subduction and stirring on
convection in a fluid with a temperature-dependent viscosity
with applications to planetary mantle convection
AU: * Thayalan, V
EM: vid.thayalan@utoronto.ca
AF: Universty of Toronto, Department of Physics
University of Toronto
60 St. George Street, Toronto, ON M5S1A7
Canada
AU: Jellinek, M
EM: markj@physics.utoronto.ca
AF: Universty of Toronto, Department of Physics
University of Toronto
60 St. George Street, Toronto, ON M5S1A7
Canada
AU: Lenardic, A
EM: adrian@geophysics.rice.edu
AF: Rice University, Department of Earth Science
Rice University
6100 Main Street, Houston, TX 77005-1892
United States
AB:
We use two-dimensional numerical simulations to study the dynamics
and steady-state heat transfer properties of ${\rm Rayleigh-B\'enard}$
convection with additional large-scale stirring imposed externally from above
in a fluid with a temperature-dependent viscosity. Our results show
that the forced subduction and stirring of an otherwise stagnant
cold boundary layer (i.e. "stagnant lid") influences both upper
and lower boundary layer dynamics as well as the global heat transfer
properties of the flow. The specific nature of the effects depends
on the imposed velocity, $V$, the total viscosity ratio, $\lambda_t$,
and the mechanical boundary conditions in the system. Quantitatively, Nu
increases from the stagnant lid value with $V$, but the nature and
magnitude of the increase depends strongly on $\lambda_t$. In
addition, for a given $V > 0$ and $\lambda_t$, we find that the
average thickness of the hot lower boundary layer, $\delta$, depends
on the hot boundary viscosity ratio, $\lambda_h$. As $ \lambda_h$ is
increased from 1 to around 10, horizontal flow in the thermal
boundary layer causes $\delta$ to decrease from critical to a minimum
thickness that depends on $\lambda_t$. Plumes are suppressed and heat
transfer is due to large-scale flow. As $ \lambda_h$ is increased
from order 10 to $10^3$, however, the hot boundary layer becomes
viscously decoupled from the overlying large-scale flow and $\delta$
increases to the critical thickness for the lower boundary layer to
reach local marginal stability. Low viscosity cavity plumes form as a result and are
responsible for the majority of the heat transfer from the hot boundary.
Our results are applied to understand mantle convection in the presence
of steady or episodic plate tectonics characteristic of the Earth and
possibly Venus. This application suggests that the morphology and dynamics
of mantle upwellings on Earth may depend on the presence of plate subduction
and that the dynamics and morphology of upwellings on Venus may have been
time- and space-variable, as a result of episodic subduction.
DE: 8120 Dynamics of lithosphere and mantle--general
DE: 8124 Earth's interior--composition and state (old 8105)
DE: 8125 Evolution of the Earth
DE: 8130 Heat generation and transport
SC: Tectonophysics [T]
MN: 2004 AGU Fall Meeting