Differentially Heated Flow From A
Rotating Sphere
Author(s)
N. Leung, S. J. D. D’Alessio & J. W. L. Wan
Abstract
We present results on the flow of a thin fluid layer over a rotating sphere
having a surface temperature that varies with latitude. The fluid is taken to be
viscous, incompressible and Newtonian while the flow is assumed to possess
both azimuthal and equatorial symmetry. The governing Navier–Stokes and
energy equations are formulated in terms of a stream function and vorticity.
An approximate analytical solution for the steady-state flow has been derived
and is compared with numerical solutions to the steady and unsteady governing
equations. For small Rayleigh numbers these solutions are found to be in close
agreement. However, as the Rayleigh number is increased noticeable differences
occur. A numerical solution procedure is presented along with a procedure for
obtaining an approximate analytical solution.
Keywords: Rayleigh–B´enard convection, rotation, heat transfer, shallow flow,
analytical, numerical.
Keywords
Rayleigh–B´enard convection, rotation, heat transfer, shallow flow,
analytical, numerical.
Related Book
Other papers in this volume
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