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Axisymmetric boundary layers on non-uniformly heated horizontal surfaces

Research paper by R. O. Weber

Indexed on: 01 Sep '89Published on: 01 Sep '89Published in: Zeitschrift für angewandte Mathematik und Physik



Abstract

Similarity solutions for the velocity and temperature induced by axisymmetrically heated horizontal surfaces with a power law temperature distribution are derived and investigated. Two physical situations, a stationary and a radially moving temperature distribution are considered; both above and below the surface. Apart from a perturbation solution for small temperature differences for the latter, the equations have to be numerically integrated. The results include the non-existence of a solution below the surface for particularly large heat inputs. A major difference from previous work on cartesian geometries is that there must be a non-zero heat flux between the surface and fluid, which is related to the total heat flux through the fluid.