An asymptotic solution of hydrodynamic equations at the mid-plane of a plume in the Earth's mantle

Details An asymptotic solution of hydrodynamic equations at the mid-plane of a plume in the Earth's mantle An asymptotic solution of hydrodynamic equations at the mid-plane of a plume in the Earth's mantle

Oct 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983pepi...33..213y&link_type=abstract

Physics of the Earth and Planetary Interiors, Volume 33, Issue 3, p. 213-218.

Physics

4

Scientific paper

From the partial differential equations of hydrodynamics governing the movements in the Earth's mantle of a Newtonian fluid with a pressure- and temperature-dependent viscosity, considering the bilateral symmetry of velocity and temperature distributions at the mid-plane of the plume, an analytical solution of the governing equations near the mid-plane of the plume was found by the method of asymptotic analysis. The vertical distribution of the upward velocity, viscosity and temperature at the mid-plane, and the temperature excess at the centre of the plume above the ambient mantle temperature were then calculated for two sets of Newtonian rheological parameters. The results obtained show that the temperature at the mid-plane and the temperature excess are nearly independent of the rheological parameters. The upward velocity at the mid-plane, however, is strongly dependent on the rheological parameters.

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