Stability and transition to turbulence in boundary layers with a pressure gradient over a compliant monolithic coating

This paper describes the study of a linear formulation of a problem of the stability of boundary layers with a pressure gradient, which are formed in a flow around surfaces with a single-layer viscoelastic coating. Calculations account for a change in the external flow velocity in the longitudinal direction, and experimental dependences describing the coating characteristics and frequency are used. The $\mathrm{e}^N$ method is used to estimate the influence of a compliant coating on the position of a laminar-turbulent transition region is estimated. It is shown that, even in the case of a sufficiently rigid coating, a laminar-turbulent transition in a boundary layer with a favorable pressure gradient can be delayed along the longitudinal coordinate by approximately 41%.