Setting of forced oscillations of viscoelastic coating

This paper formulates the problem of determining the response of a flat monolithic viscoelastic coating to traveling pressure and shear waves in two-dimensional formulation. Examples of corresponding numerical computations for coating parameters typical for laboratory experiments on the reduction in turbulent viscous drag are presented. The coating parameters are demonstrated, which provide the setting time less than one period of the forced oscillations. It is shown that the time to reach the regime is practically the same for both the shear and the pressure forcing, the time being increased with a decrease in relative thickness of the coating, as well as with an increase in the forcing frequency, particularly at frequencies above the first resonance frequency.