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Toward a Description of Convection with Temperature‐and‐Pressure‐Dependent Viscosity

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In seeking a description of convection in the Earth's mantle, one is led to the study of convection in a fluid at large Rayleigh number, and with large activation energy and volume for viscosity. This paper presents an initial attempt to understand the asymptotic behavior in the combined triple attempt to understand the asymptotic behavior in the combined triple asymptotic limit where these parameters are all large. The model is a simplified set of mean field equations. We show that it mimics successfully both constant and temperature‐dependent viscosity. We then show that temperature‐and‐pressure‐dependent viscosity gives an internal isoviscous structure. There are tempting inferences that might be suggested for the convective style in the earth's mantle.
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Document Type: Research Article

Affiliations: Oxford University

Publication date: February 1, 1993

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