On transonic boundary-layer receptivity over a vibrating flat plate coated with a thin liquid film
نویسندگان
چکیده
In this paper we study the generation of Tollmien–Schlichting waves initiated by vibrations a wall where is coated with thin liquid film in transonic flow regime. Motion fluids are described two-dimensional Navier–Stokes equations assuming Reynolds number large. To find asymptotic solutions boundary layer, conduct an inspection analysis on affine transformations triple-deck model for subsonic and unsteady full potential equations, intention obtaining order quantity free-stream Mach flow. We construct modified considering scalings perturbations that lead to viscous–inviscid interaction problem particular, interested region become invalid as approaches assume oscillates vertical direction oncoming these periodic time. outline process layer converts vibration into instability modes which measured receptivity coefficient. The describes stability lower branch neutral curve. show governing air viscous sublayer quasi-steady. equation describing inviscid airflow its referred Kàrmàn–Guderley equation. influence surface tension expressed through normal shear stress condition at interface. present analytic formula amplitude formed layer. analysed our different values tension, initial thickness parameter. Depending value parameters, may grow or decay.
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ژورنال
عنوان ژورنال: Journal of Fluid Mechanics
سال: 2022
ISSN: ['0022-1120', '1469-7645']
DOI: https://doi.org/10.1017/jfm.2022.708