Journal ArticleDOI
Heat transport by variable viscosity convection II: pressure influence, non-Newtonian rheology and decaying heat sources
TLDR
In this paper, the heat transport properties of convection with Newtonian temperature-dependent viscosity were investigated and it was shown that the Nusselt number only weakly depends on the Rayleigh number defined with the viscosities at the mean internal temperature (Ra T ) when the temperature at the top boundary is fixed.About:
This article is published in Physics of the Earth and Planetary Interiors.The article was published on 1985-02-01. It has received 64 citations till now. The article focuses on the topics: Natural convection & Rayleigh number.read more
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
Scaling of time‐dependent stagnant lid convection: Application to small‐scale convection on Earth and other terrestrial planets
TL;DR: In this article, a scaling relationship for a variety of convective parameters and in a broad range of power law viscosities of olivine has been proposed for the Earth's oceanic lithosphere.
Journal ArticleDOI
Urey ratio and the structure and evolution of Earth's mantle
TL;DR: In this paper, the authors discuss the contribution of internal heat production to planetary-scale energy balance, and delineate the most likely thermal budget of Earth by elucidating various geochemical and geophysical arguments.
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Thermal evolution models for the Earth
TL;DR: In this paper, the authors compare thermal evolution models with strong and weak dependence of the heat loss on the temperature and conclude that the strong dependence implies that internal temperature and convective heat loss are strongly coupled.
Journal ArticleDOI
Effects of strongly variable viscosity on three-dimensional compressible convection in planetary mantles
TL;DR: In this paper, the effects of temperature dependent viscosity on three-dimensional compressible mantle convection have been performed by means of numerical simulations in Cartesian geometry using a finite volume multigrid code, with a factor of 1000-2500 viscosities variation, Rayleigh numbers ranging from 105-107, and stress-free upper and lower boundaries.
References
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Journal ArticleDOI
Subducted slabs and the geoid: Constraints on mantle rheology and flow
TL;DR: In this article, the authors show that the observed long-wavelength geoid is highly correlated with that predicted by a density model for seismically active subducted slabs and explain the amplitude of the correlation if the density contrasts associated with subduction extend into the lower mantle or if subducts exceeding 350 km in thickness are piled up over horizontal distances of thousands of km at the base of the upper mantle.
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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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Low-stress high-temperature creep in olivine single crystals
David L. Kohlstedt,C. Goetze +1 more
TL;DR: In this paper, a flow law of the form e˙ = ƒ(σ) exp (−Q/RT) is obtained, where σ is an empirical function that is not simply proportional to σn for constant n and Q is equal to 125 ± 5 kcal/mol.
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Convection, composition, and the thermal state of the lower mantle
Raymond Jeanloz,Frank M. Richter +1 more
TL;DR: In this paper, a thermal model for the lower mantle is presented, which is constructed from the petrologically derived estimates of the temperature in the transition zone and from an adiabat based on the thermal properties of MgO and SiO2 measured at high pressures.
Convection, composition and the thermal state of the lower mantle
Raymond Jeanloz,Frank M. Richter +1 more
TL;DR: In this paper, a thermal model for the lower mantle is presented, which is constructed from the petrologically derived estimates of the temperature in the transition zone and from an adiabat based on the thermal properties of MgO and SiO2 measured at high pressures.