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Journal ArticleDOI

Heat transport by variable viscosity convection and implications for the Earth's thermal evolution

Ulrich R. Christensen
- 01 Nov 1984 - 
- Vol. 35, Iss: 4, pp 264-282
TLDR
In this article, an extensive numerical study of the heat transport by 2-D steady state convection with free boundaries and temperature dependent viscosity was carried out, and the results for convection in a square box were presented in several ways.
About
This article is published in Physics of the Earth and Planetary Interiors.The article was published on 1984-11-01. It has received 175 citations till now. The article focuses on the topics: Rayleigh number & Natural convection.

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Citations
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Journal ArticleDOI

Scaling of temperature‐ and stress‐dependent viscosity convection

TL;DR: In this article, a simple scaling analysis of temperature and stress-dependent viscosity convection with free-slip boundaries suggests three convective regimes: the small contrast regime, the transitional regime, and the asymptotic regime.
Journal ArticleDOI

Role of temperature‐dependent viscosity and surface plates in spherical shell models of mantle convection

TL;DR: In this article, the authors show that long-wavelength structures can be produced either by a layered viscosity with a weak upper mantle or temperature-dependent viscosities even in the absence of surface plates.
Journal ArticleDOI

Numerical investigation of 2D convection with extremely large viscosity variations

TL;DR: In this article, a finite element multigrid scheme was employed for large viscosity variations and convection with up to 1014 contrasts was systematically investigated in a 2D square cell with free slip boundaries.
Journal ArticleDOI

Self-consistent generation of tectonic plates in time-dependent, three-dimensional mantle convection simulations

TL;DR: In this article, self-consistent, three-dimensional simulations of mantle convection are presented, some of which display an approximation of plate tectonic behavior that is continuous in space and time.
Journal ArticleDOI

The generation of plate tectonics from mantle convection

TL;DR: In the last decade, significant progress has been made toward understanding how plate tectonics is generated from mantle dynamics as discussed by the authors, which has led to plate-like segments separated by narrow, weak and rapidly deforming boundaries.
References
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Journal ArticleDOI

The heat flow through oceanic and continental crust and the heat loss of the Earth

TL;DR: In this paper, the authors used radiometric dates to estimate the amount of heat lost by the earth during the last orogenic event, the distribution of heat-producing elements, and erosion.
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Finite amplitude convective cells and continental drift

TL;DR: In this paper, a solution was obtained for steady, cellular convection when the Rayleigh number and the Prandtl number are large, and the theory was used to test the hypothesis of large scale convective cells in the earth's mantle.
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A study of Bénard convection with and without rotation

TL;DR: In this article, an experimental study of the response of a thin uniformly heated rotating layer of fluid is presented, and it is shown that the stability of the fluid depends strongly upon the three parameters that described its state, namely the Rayleigh number, the Taylor number and the Prandtl number.
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Mantle convection and the thermal structure of the plates

TL;DR: In this article, a more realistic model is developed, based on the idea that the thermal structure of the plate becomes unstable and leads to the development of small-scale convection, which then supplies the heat flux needed to match the observations rather than an artificial constant temperature boundary condition.
Journal ArticleDOI

Convection with pressure- and temperature-dependent non-Newtonian rheology

TL;DR: In this article, the influence of non-linear stress-strain rate relation on thermal convection in a fluid whose rheological properties are also pressure-and temperature-dependent is studied in a series of numerical models.
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