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Thermal convection with large viscosity variations

Published online by Cambridge University Press:  29 March 2006

K. E. Torrance  and
D. L. Turcotte
K. E. Torrance
Affiliation:
Cornell University, Ithaca, New York
D. L. Turcotte
Affiliation:
Cornell University, Ithaca, New York
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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.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 47 , Issue 1 , 14 May 1971 , pp. 113 - 125
Copyright
© 1971 Cambridge University Press

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References

Elder, J. W. 1968 Sci. Prog. 56, 1.
Foster, T. D. 1969a J. Geophys. Res. 74, 685.
Foster, T. D. 1969b J. Fluid Mech. 37, 81.
Fromm, J. E. 1965 Phys. Fluids, 8, 1757.
Garabedian, P. R. 1956 Math. Tables Aids Comp. 10, 183.
Gordon, R. B. 1965 J. Geophys. Res. 70, 2413.
Herring, C. 1950 J. Appl. Phys. 21, 437.
Isacks, B., Oliver, J. & Sykes, L. R. 1968 J. Geophys. Res. 73, 5855.
Kuo, H. L. 1961 J. Fluid Mech. 10, 611.
Lax, P. D. & Richtmyer, R. D. 1956 Commun. Pure Appl. Math. 9, 267.
Le Pichon, X. 1968 J. Geophys. Res. 73, 3661.
Lee, W. H. K. & Uyeda, S. 1965 In Terrestrial Heat Flow, pp. 58–77. American Geophysical Union, Washington.
Liang, S. F., Vidal, A. & Acrivos, A. 1969 J. Fluid Mech. 36, 239.
Mckenzie, D. P. 1969 Geophys. J. Roy. Astr. Soc. 18, 1.
Mckenzie, D. P. & Parker, R. L. 1967 Nature. Lond. 216, 1276.
Morgan, W. J. 1968 J. Geophys. Res. 73, 1959.
Oxburgh, E. R. & Turcotte, D. L. 1968 J. Geophys. Res. 73, 2643.
Torrance, K. E. 1968 J. Res. Nat. Bur. Stand. 72B, 281.
Turcotte, D. L. & Oxburgh, E. R. 1969 J. Geophys. Res. 74, 1458.
Veronis, G. 1966 J. Fluid Mech. 26, 49.
Vine, F. J. 1966 Science, N.Y. 154, 1405.
Von Herzen, R. P. & Langseth, M. G. 1965 Phys. Chem. Earth, 6, 365.