THE STABILITY OF LAMINAR INCOMPRESSIBLE BOUNDARY LAYERS IN THE PRESENCE OF COMPLIANT BOUNDARIES,
MASSACHUSETTS INST OF TECH CAMBRIDGE AEROELASTIC AND STRUCTURES RESEARCH LAB
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A numerical technique has been developed for the solution of the Orr-Somerfeld equation for a boundary layer flowing over a general class of compliant boundaries. Sample calculations are worked out in detail for several types of models of compliant boundaries. It is shown that a compliant boundary can have a significant influence on the stability of the laminar boundary layer, both by delaying the appearance of unstable disturbances until higher values of the Reynolds number and by reducing the total spatial amplification of any frequency band. The methods are described in detail, including an outline of a technique to reduce the parasitic errors that occur in the numerical integration of certain types of differential equations.