Thermal convection over flat plates possessing an irregular leading edge

Boundary layer similarity reductions for thermal convection adjacent to inclined heated plates with an irregular leading edge are presented. The theory is outlined using three examples: Newtonian convection over an isothermal plate, Darcian convection over a nonuniformly heated plate, and mixed convection of Newtonian shear flow over a nonuniformly heated plate. These reductions represent a natural extension of results obtained by the author for Blasius flow over a flat plate with an irregular leading edge.