Abstract
The boundary-layer flow above a horizontal impermeable circular disk embedded in a saturated porous medium is considered in the cases both when the disk is held at a constant temperature above ambient and when heat is supplied to the convective fluid by the disk at a constant rate. Series solutions are obtained based on the flat plate solution, which holds at the edge of the disk, as the leading order terms. These series solutions can then be used to describe the flow nearly all the way across the disk. A simple approximate solution, based on an integrated form of the energy equation, is also obtained and is shown, for the constant wall temperature case, to be useful in indicating how the solution behaves near the centre of the disk. The solutions asr→0, wherer measures distance from the centre is discussed in both cases, and it is shown that the solution develops a singularity with the boundary layer having a thickness of 0[(−logr)1/2].
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