Home – Home – Jornals – Thermophysics and Aeromechanics 2008 number 2

The reaction of the film interface to low-amplitude waviness of the wall was studied. A linearized version of the problem described by the Orr ⎯ Sommerfeld equation was considered; the solution was sought by asymptotic expansion in small parameter 1/Re, and usual spectral problem concerning stability to perturbations of exp[iα(x−ct)] type was solved. According to calculations, for some specially chosen wave numbers α the drift and dispersion effects balance each other, providing zero resulting velocity c_{R = 0. If we assume that a rigid wall is corrugated with the same α, we can say that stationary waves caused by the wavy wall are in resonance with intrinsic perturbations of the second kind.}