The depth of convection in a fluid with strongly temperature and pressure dependent viscosity
نویسندگان
چکیده
منابع مشابه
The Depth of Convection in a Fluid with Strongly Temperature and Pressure Dependent Viscosity
We discuss the equations describing convective motion of a fluid with temperature and pressure dependent rheology. By combining observational constraints from plate tectonics with theoretical constraints deduced from the model equations and parameter values, we are led to the conclusion that shallow upper mantle convection is consistent with the equations of fluid dynamics. The Nature of Mantle...
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[1] We derive a scaling law for the onset of convection in an incompressible fluid cooled from above with temperatureand depth-dependent viscosity, on the basis of 2-D numerical simulation. Rayleigh numbers up to 10 are considered. The activation energy is varied from 0 to 200 kJ mol , and a variation of up to 10 is considered in depth-dependent reference viscosity. Our scaling law is shown to ...
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A global nonlinear stability analysis is performed for a couple-stress fluid layer heated from below saturating a porous medium with temperature-pressure dependent viscosity for different conducting boundary systems. Here, the global nonlinear stability threshold for convection is exactly the same as the linear instability boundary. This optimal result is important because it shows that lineari...
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If it is assumed that mantle convection is shallow, i.e. limited to an upper layer of 700 km, then the extent of surface plates must be such that aspect ratios are noticeably large, in contrast to many laboratory and numerical experiments. A rheology which depends strongly on temperature and pressure is provided as an explanation of why this may occur. The aspect ratio, it is suggested, is pref...
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A series of numerical simulations of thermal convection of Boussinesq fluid with infinite Prandtl number, with Rayleigh number 10, and with the strongly temperatureand depthdependent viscosity in a three-dimensional spherical shell is carried out to study the mantle convection of singleplate terrestrial planets like Venus or Mars without an Earth-like plate tectonics. The strongly temperature-d...
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ژورنال
عنوان ژورنال: Geophysical Research Letters
سال: 1982
ISSN: 0094-8276
DOI: 10.1029/gl009i008p00816