STABILITY AND TRANSITION TO TURBULENCE IN BOUNDARY LAYERS WITH A PRESSURE GRADIENT OVER A COMPLIANT MONOLITHIC COATING

摘要

Abstract This paper describes the study of a linear formulation of a problem of 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 between the coating characteristics and frequency are used. The?documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$mathrm{e}^N!$$end{document}?method is used to estimate the influence of a compliant coating on the position of?a?laminar–turbulent transition region. 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%.