Laminar flow separation from streamlined bodies at high Reynolds number

High Reynolds number steady laminar flow separation on nonlifting streamlined bodies was investigated by adopting an iteration scheme using the velocity-vorticity formulation. The Helmholtz vorticity equation is solved with its velocity coefficients presumed known from the previous iteration. The formulation is evaluated in two dimensions by application to a flat plate and to a thin body. For these applications the second approximation equations are simplified through order of magnetitude analysis; analytic solutions for the second approximation result. A third approximation is evaluated in both of the two dimensional applications. The third approximation results show improvements over the second approximation results.