N.S.Gorodetska, V.I.Nikishov, L.V.Tkachenko
A numerical modeling of development of the Taylor-Goertler vortices in an unsteady Couette flow. 1. Influence of the initial energy of disturbances

Applied hydromechanics, Vol. 14 (86) ¹ 2, (2012) p.3-16
The results of numerical simulation of a regular perturbation vorticity development in a boundary layer over a concave surface are presented. The boundary layer is formed over the inner surface of the external cylinder after its stop in a circular Couette flow between two rotating cylinders. It is shown that initially a noticeable drop of the energy of regular vortical perturbations introducing in flow is observed. The shape of mentioned perturbations was close to that of Goertler longitudinal vortices. The drop is connected with adaptation of vortices to the peculiarities of the flow. The greater is the initial perturbations energy, the greater it is the drop of energy of the initial disturbances. The vortical disturbances develop and their energy increases with time and the nonlinear effects become important. The influence of the nonlinear effects appears earlier for the perturbations with greater energy. This influence causes a deviation of the growth energy curves from the exponential law.
KEY WORDS:
numerical modeling, boundary layer, Taylor-Goertler vortices, energy increase
TEXT LANGUAGE: Russian