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Numerical Simulation of Natural Convection in a Cavity of an Ellipsoid of Revolution, using a Spectral Finite Difference Method

. Fourteenth International Conference on Numerical Methods in Fluid Dynamics, volume 453 of Lecture Notes in Physics, page 485--489. Berlin, Springer, (1995)
DOI: 10.1007/3-540-59280-6\_172

Abstract

Analyzed is a natural convection followed by a steady-state natural convection of liquid metals filled in a lower half part of an ellipsoid of revolution. The free surface of the liquid metal is assumed to be facing to a gas atmosphere with a uniform constant temperature sufficiently higher than a room temperature. A Fourier spectral finite difference scheme is applied to the equations of vorticity transport and energy in a boundary fitted coordinate system, using a non-uniform grid spacing. It is found that the strength of circulating motion of liquid metal layers due to natural convection can be well controlled by the variation of profiles of heat transfer through the wall of the ellipsoid.

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