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Stagnation flow with a temperature-dependent viscosity

Published online by Cambridge University Press:  20 April 2006

Steven H. Emerman  and
D. L. Turcotte
Steven H. Emerman
Affiliation:
Department of Geological Sciences, Cornell University, Ithaca, New York 14853
D. L. Turcotte
Affiliation:
Department of Geological Sciences, Cornell University, Ithaca, New York 14853
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Abstract

In this paper we derive solutions for two stagnation flows of an incompressible Newtonian fluid with infinite Prandtl number and exponentially temperature-dependent viscosity. The two stagnation flows are the impingement of a hot fluid against a cold wall and against a cold half-space of the same material. We find that the same solutions apply to both axisymmetric and two-dimensional flows. We apply these solutions to the thinning of the Earth's lithosphere by a mantle plume. The equilibrium lithospheric thickness and the rate of lithospheric thinning are obtained.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 127 , February 1983 , pp. 507 - 517
Copyright
© 1983 Cambridge University Press

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