Taylor-Couette流における軸方向波数選択に関する研究

概要

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Direct numerical simulations of Taylor-Couette flows were conducted using a spectral method to clarify a wave-number selection mechanism in the axial direction. For initial conditions, one or two axial modes are superposed on the Couette flow and the growth rate is carefully examined. The calculated relationship between the critical Reynolds number and the critical wavelength for the onset of Taylor vortex flow coincides with the previously reported experiment and linear stability analysis. From this study, we have obtained the following conclusions. (1) In the case that the growth rate of initial disturbance λ is smaller than that of λ/2, the vortex which has axial wavelength λ changes its wavelength to λ/2. (2) In the case of initial fluctuation energy with two different modes, selection of axial mode depends on the total amplitude of initial fluctuation and the relative intensity of each mode. (3) Initially, axial fluctuation energies of two different modes develop independently. As these energies reach some critical amplitude, axial wave-number selection occurs and axial fluctuation energy of nonselected mode decays exponentially. (4) Circumferential fluctuation energy of nonselected mode does not decay exponentially but remains constant.
一般社団法人日本機械学会の論文
1994-01-25