Exact solutions to mixed convection equations

It is shown that an exact solution to the boundary layer equations will correspond to a stagnation zone when calculations for mixed convection based on the Blasius series do not have a simple solution. Attention is focused on boundary layer conditions which lead to similar solutions. The model used involves a stream function in the Boussinesq approximation to the boundary layer equations for mixed convection. Boundary conditions at the wall are defined, along with solution equations and limiting conditions. The flows around a diehedral and a vertical wall are calculated to show that the Blasius formulation is not applicable when the outer and inner boundary layer cannot be separated. The present model, on the other hand, can describe the stagnation zone as a function of the downstream conditions.