1979/01/01 by Manuel D. Salas, James Daywitt, JAMES DAYWITT · 1 citation
Engineering · Mathematics · #Boundary value problem #Compressibility #Conical surface #Conservative vector field #Flow (mathematics) #Fluid Dynamics and Turbulent Flows #Fluid Dynamics and Vibration Analysis #Geometry #Inviscid flow #Mathematical analysis #Mathematics #Mechanics #Physics #Stagnation point #Streamlines, streaklines, and pathlines #Vibration and Dynamic Analysis #Wedge (geometry)
paper · doi:10.2514/3.61060
openalex publication_date 1979/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/26
A theoretical and experimental investigation of the flowfield about symmetrical and asymmetrical external axial corners formed by the juncture of swept compressive wedges is presented. A study is made of the nature of inviscid conical cross-flow stagnation points, and the dependence of the streamline pattern on certain flow parameters is derived. The importance of imposing the physically relevant boundary condition for numerical simulations is discussed. For the asymmetrical wedge configuration, the proper boundary condition along the axial corner is shown to be a conical analog of Prandtl-Meyer flow. For the symmetrical configuration, a local solution of the irrotational equations is obtained. The solution is shown to be applicable to cones and internal and external corners. For symmetrical internal corners, the solution is unique; the corner is a nodal point of streamlines. The possible multiple solutions for external corners and cones are discussed. Further insight into the flow structure is revealed by the experimental results. The consistency of the derived flow models with the Euler limit of the Navier-Stokes equations is substantiated by the experimental data.