Abstract

Separation control by two-dimensional periodic excitation is studied theoretically for nonsymmetrical flows over a parabola using a mathematical model of incompressible laminar flow with periodic perturbations. This model is based on the representation of the flow as the sum of the mean and the periodic components. The governing equations for both components are derived from the Navier–Stokes equations using time averaging. The momentum equations for the mean component comprise additional source terms that result from averaging the quadratic periodic terms. These source terms allow the control of separation. A numerical procedure has been developed to solve these equations along with equations of periodic flow, and to study the influence of inflow conditions, namely, frequency, amplitude, and the station where the excitation is inserted on the mean flow. Using this procedure, one can check if the given inflow conditions suppress the leading-edge separation of the flow over a parabola.

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