Flow Over Bodies with Suction Through Porous Strips
Nayfeh, Ali H.
Reed, H. L.
Ragab, Saad A.
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This article addresses the steady, incompressible flow past a two‐dimensional or an axisymmetric body with suction through porous strips. Closed‐form solutions for each flow quantity are developed in the context of linearized triple‐deck theory using Fourier transforms. To demonstrate the validity of these closed‐form solutions, we compare the wall shear stress and pressure coefficients and the streamwise velocity profiles from the linearized theory are 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.