Thermal convection with large viscosity variations
Abstract
The influence of large variations of viscosity on convection in a layer of fluid heated from below has been investigated. Solutions for the flow and temperature fields were obtained numerically assuming infinite Prandtl number, free-surface boundary conditions, and two-dimensional motion of fixed horizontal wavelength. The effects of a temperature-dependent and a depth-dependent viscosity were each studied; calculations were also carried out using a temperature- and depth-dependent viscosity model appropriate to the earth's mantle.
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Numerical experiments described in Paper I and by Torrance & Turcotte show that hot rising plumes occur in fluids heated from below, especially when viscosity is temperature dependent.
“The behaviour of a fluid heated from below is quite different: the numerical experiments described in Paper I and by Torrance & Turcotte (1971) show that hot rising plumes occur especially when the viscosity is temperature dependent.”
From Speculations on the Thermal and Tectonic History of the Earth (2007) · cites this paper as Torrance & Turcotte (1971)
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Speculations on the Thermal and Tectonic History of the Earth
McKenzie, D., & Weiss, N. (2007) · Geophysical Journal of the Royal Astronomical Society · doi:10.1111/j.1365-246x.1975.tb05855.x · Cited by 335 · see citing works
- Authors
- Torrance, K. E., & Turcotte, D. L.
- Affiliations
- Cornell University (US)
- ORCID
- Turcotte, D. L.
- Venue
- Journal of Fluid Mechanics
- Publisher
- Cambridge University Press (CUP)
- Published
- 1971-05-14
- Volume
- 47
- Issue
- 1
- Pages
- 113-125
- ISSN
- 0022-1120 (ISSN-L)
- 1469-7645
- OpenAlex
- W2150662307
- Cited by
- 270
- References
- 22
- Citations by year
- 2026: 6 · 2025: 13 · 2024: 5 · 2023: 10 · 2022: 13 · 2021: 6 · 2020: 5 · 2019: 29 · 2018: 5 · 2017: 7 · 2016: 4 · 2015: 7 · 2014: 7 · 2013: 3 · 2012: 1
- FWCI
- 5.76
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Journal of Fluid Mechanics (publishedVersion)
- Topics
- Physical Sciences › Earth and Planetary Sciences › Geophysics › High-pressure geophysics and materials
- Physical Sciences › Engineering › Computational Mechanics › Fluid Dynamics and Turbulent Flows
- Physical Sciences › Engineering › Computational Mechanics › Fluid dynamics and aerodynamics studies
- Keywords
- thermal convection, temperature-dependent viscosity, depth-dependent viscosity, Rayleigh-Bénard convection, infinite Prandtl number, free surface boundary conditions, two-dimensional flow, Earth's mantle, mantle convection
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