Abstract
For special applications to liquid metals two-dimensional natural convection below an infinite strip and axisymmetric convection below a circular plate are calculated for a uniform surface temperature as well as for a uniform surface heat flux. The laminar boundary-layer equations are solved iteratively, starting with a forced convection of an unknown upstream velocity, which is determined with potential theory. Locally similar solutions are obtained for velocity and temperature profiles. Finally, a heat balance fixes the upstream velocity with respect to buoyancy forces. Thus, a local Nusselt number is correlated with the Grashof and Prandtl numbers; it is predicted to be higher than those previously achieved with integral methods but agrees better with experiments.
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