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1972•Geophysical Fluid DynamicsRequires access

Finite-Amplitude thermal convection within a self-gravitating fluid sphere

Albert T. Hsui, Donald L. Turcotte, K. E. Torrance

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Abstract

Finite-difference calculations have been carried out to determine the structure of finite-amplitude thermal convection within a self-gravitating fluid sphere with uniform heat release. For a fixed-surface boundary condition single-cell convection breaks up into double-cell convection at a Rayleigh number of 3 × 104, at a Rayleigh number of 5 × 105 four-cell convection is observed. With a free-surface boundary condition only single cell convection is obtained up to a Rayleigh number of 5 × 106.

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What this paper is about

Finite-difference calculations have been carried out to determine the structure of finite-amplitude thermal convection within a self-gravitating fluid sphere with uniform heat release. For a fixed-surface boundary condition single-cell convection breaks up into double-cell convection at a Rayleigh number of 3 × 104, at a Rayleigh number of 5 × 105 four-cell convection is observed. With a free-surface boundary condition only single cell convection is obtained up to a Rayleigh number of 5 × 106.

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Available abstract

Finite-difference calculations have been carried out to determine the structure of finite-amplitude thermal convection within a self-gravitating fluid sphere with uniform heat release. For a fixed-surface boundary condition single-cell convection breaks up into double-cell convection at a Rayleigh number of 3 × 104, at a Rayleigh number of 5 × 105 four-cell convection is observed. With a free-surface boundary condition only single cell convection is obtained up to a Rayleigh number of 5 × 106.

Key concepts: Mechanics, Thermal, Amplitude, Convection, Physics, Convective heat transfer, Classical mechanics, Thermodynamics

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