Stability of the convective flow in an inclined layer with heat release at its center

The flow of a viscous incompressible fluid in a plane infinite inclined layer in the presence of internal heat sources concentrated on its axis is considered. The stability of the plane-parallel motion is investigated, the neutral curves are plotted, and the stability regions are determined. The results are compared with the case of uniform distribution of the heat sources. Supercritical fluid flows are calculated numerically.