Heat conduction within an elastic earth

Computer Science – Numerical Analysis

Scientific paper

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Conductive Heat Transfer, Earth Mantle, Elastic Bodies, Geotemperature, Nuclear Heat, Radioactive Decay, Actinide Series, Deformation, Numerical Analysis, Temperature Distribution

Scientific paper

The author uses theoretical results derived in a previous paper (Lanzano, 1986) to numerically evaluate the temperature profile and radial deformation within a spherical, elastic Earth due to heat generated by the decay of radiogenic elements. He considers only the uranium family and has assumed the diffusivity of the silicate mantle to be K = 8×10-3cm2s-1, the Poisson elastic ratio to be σ = 0.25 and the coefficient of thermal expansion to be α = 2×10-5(deg)-1. His series solutions when applied to the interiors of the Moon, Mercury, and Mars yield results in agreement with Kopal's (1963) evaluations.

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