Flow over bodies with suction through porous strips.
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The steady, incompressible flow past a two dimensional or an axisymmetric body with suction through porous strips is studied. Closed form solutions for each flow quantity were developed in the context of linearized triple deck theory using Fourier transforms. To demonstrate the validity of these closed form solutions, the wall shear stress was compared with pressure coefficients and the streamwise velocity profiles from the linearized theory were compared with those obtained by the numerical integration of both interacting and conventional boundary layer equations. The agreement between the linearized triple deck and interacting boundary layer equations for the suction configurations proposed for laminar flow control is good; however, the conventional boundary layers, which fail to account for upstream influence, are shown to be in poor agreement with both interacting boundary layers and the linearized triple deck. Combining these linearized closed form solutions with a perturbation scheme has enabled development of a simple linear optimization scheme to determine the number, spacing and mass flow rate through the strips on two dimensional and axisymmetric bodies.
author list (cited authors)
Nayfeh, A. H., Ragab, S. A., & Reed, H. L.