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- W2072479423 abstract "In a previous work, we considered the influence of a compliant wall on finite-amplitude Tollmien–Schlichting (TS) waves in plane Poiseuille flow. In the present investigation we extend this analysis to the more relevant Blasius boundary-layer profile. Similarly to W. Koch [J. Fluid Mech. 243, 319 (1992)], who studied finite-amplitude TS waves over a rigid wall, we use a parallel flow assumption and expand the flow quantities in Fourier and Chebyshev modes. Our coating is of Kramer’s type. We present a model that takes into account the nonlinear fluid/structure interaction all over the flow field. The problem to be numerically feasible, we mainly focus on moderately flexible walls, being stable (at finite Reynolds numbers) with respect to flow-induced surface instability (FISI) waves. Our computations of nonlinear TS instability waves show that for a certain range of wall parameters two-dimensional finite-amplitude traveling waves exist well below critical Reynolds numbers predicted by linear theory, typical for a subcritical bifurcation behavior. Computations of the flow structure and skin friction of the finite-amplitude TS waves are provided as well." @default.
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- W2072479423 date "1996-04-01" @default.
- W2072479423 modified "2023-09-30" @default.
- W2072479423 title "Nonlinear Tollmien–Schlichting waves for a Blasius flow over compliant coatings" @default.
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- W2072479423 doi "https://doi.org/10.1063/1.868886" @default.
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