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Stability of the channel flow with longitudinal wall-oscillation is investigated by the Floquet theory. The stability equation, time-dependent Orr-Sommerfeld equation, is rewritten as a simple ordinar...y differential equation by the use of the collocation method. Then, using this ordinary equation, the Floquet exponents are defined. The velocity profiles for the Floquet analysis are given as superimposition of the plane Poiseuille flow with the Stokes layer. Reynolds number is fixed at 10,000 which corresponds to supercritical condition. Depending on the parameters, the parametric study shows that there is a stability spot on the parameter space in spite of the supercritical condition. DNS results agree well with the present Floquet analysis.続きを見る
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