A formulation of combined forced and free convection past horizontal and vertical surfaces
The boundary-layer flow over semi-infinite vertical and horizontal flat plates, heated to a constant temperature in a union free stream, is studied when the buoyancy forces either aid or oppose the development of the boundary layer. Different mixed-convection parameters are introduced in the formulation of the respective problems involving horizontal and vertical surfaces such that smooth transition from one convective limit to the other is possible; in particular the governing equations for the purely forced and free convection cases are respectively recovered from the zero values of the Grashoff and Reynolds numbers. An effective numerical scheme is developed to incorporate the integral boundary condition appearing in the governing equations of the flow over a horizontal flat plate, thereby rendering numerical convergence possible.
locally similar and locally nonsimilar solutions
semi-infinite vertical and horizontal flat plates
scientific article; zbMATH DE number 3883838