Natural convection near a rectangular corner (Q1119125)

The laminar natural convective heat transfer hear a rectangular corner formed by the intersection of two vertical quarter-infinite flat plates is considered. For large Grashof numbers, the `boundary-layer' equations in the corner layer are derived and appropriate boundary conditions are determined using the method of matched asymptotic expansions. Solutions of the equations are numerically obtained for velocity and temperature distributions for Prandtl numbers of 0.72 and 7.0. The cross-flow pattern is quite different from the high-Reynolds number flow along the corner; the simple inflow toward the corner appears, and the swirling motion in the corner is not found.