Axial direction wavenumber selection in Taylor-Couette flow

Direct numerical simulations of Taylor-Couette Flows were conducted by using a spectral method to clarify a wave number selection mechanism in the axial direction. From this study, the following conclusions have been obtained: (1) in the case of small initial fluctuation energy with two different modes, larger amplitude is necessary for the smaller mode to be selected; (2) the epsilon(sub uk) and epsilon(sub wk) of the non-selected mode decreases exponentially, while epsilon(sub vk) does not decay exponentially but holds a constant value; and (3) in the steady state, circumferential velocity components of the two modes show a similar profile but they show inverse sign.