Abstract
The convective motions in a shallow fluid layer between two concentric spheres in the presence of a constant axial force field have been studied numerically. The aspect ratio of the fluid layer to inner radius is β = 0.08, the Prandtl number Pr= 37.5. A three-dimensional time-dependent numerical code is used to solve the governing equations in primitive variables. Convection in the spherical shell has then a highly three-dimensional nature. Characteristic flow patterns with a large number of bananatype cells, oriented in north-south direction and aligned in the azimuthal direction, are formed on the northern hemisphere, which grow gradually into the equatorial region accompanied by the generation of new cells as the Rayleigh number is increased. Various characteristics of these flows as well as their transient evolution are investigated for Rayleigh numbers up to 20 000.
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Liu, M., Egbers, C. (2000). Three-dimensional natural convection in a narrow spherical shell. In: Egbers, C., Pfister, G. (eds) Physics of Rotating Fluids. Lecture Notes in Physics, vol 549. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45549-3_16
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DOI: https://doi.org/10.1007/3-540-45549-3_16
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