MIXED CONVECTION ON A HORIZONTAL SURFACE EMBEDDED IN A POROUS-MEDIUM - THE STRUCTURE OF A SINGULARITY

The mixed convection boundary-layer flow on a horizontal impermeable s urface embedded in a saturated porous medium and driven by a local hea t source is considered. Similarity solutions are obtained for specific outer flow variations and these are shown to have a solution only for parameter values greater than some critical value. When this is not t he case the solution develops a singularity at a finite distance from the leading edge. The nature of this singularity is also discussed.