Viscid/Inviscid Interaction Analysis for Symmetric Trailing Edges.

A general theory is presented for high Reynolds number steady boundary layer separation, with application here to the near wake region of blunt subsonic trailing edges. The theory is based on the concept of a thin viscous layer displacing and thus interacting with an inviscid flow. The governing equations are derived in a shear layer oriented coordinate system and subsequently simplified through use of Prandtls Transposition Theorem. These are put in final form through introduction of turbulent Levy Lees type variables to minimize growth of the viscous layer in the computational domain. Solutions were first obtained for asymptotically large Reynolds number through use of Triple Deck scaling laws. A numerical algorithm was developed using an inverse viscous layer approach coupled with a direct inviscid flow solver. The method was found to be fast, stable and accurate through a comparative assessment with previously published flat plate trailing edge solutions. Blunt trailing edge separated flows were then studied providing the first such steady, high Reynolds number solutions ever produced. A numerical algorithm was also written for solving the finite Reynolds number form of the governing equations. The approach was a direct extension of the Triple Deck Solver. Good agreement has been achieved with recently published flat plate trailing edge solutions at a Reynolds number of 100,000. Author