A boundary value technique for the analysis of laminar boundary layer flows †

†Partially supported under NASA/AMES Grant NSG-2077.

Abstract

The Falkner-Skan equation for similar profiles is solved using a boundary value technique.The analytical boundary condition at infinity is applied at the boundary of the computational mesh, at a finite distance from the region of interest. The numerical results show excellent agreement with the established similarity solutions for stagnation flows. The algorithm is computationally simple.

Keywords:

• Boundary value technique
• finite differences
• non-linear equations
• laminar boundary layers
• similarity solutions
• stagnation flows
• semi-infinite domains

C.R. Categories:

• 5.17
• 5.15

†Partially supported under NASA/AMES Grant NSG-2077.

†Partially supported under NASA/AMES Grant NSG-2077.

Notes

†Partially supported under NASA/AMES Grant NSG-2077.