Lagrange変位による平均流の導出と弱非線形振幅方程式(解析・予測・制御流体数理(4),一般講演)

概要

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It is known that the elliptical instability for a rotating flow in a elliptical cylinder is caused by parametric resonance between two Kelvin wave, three-dimentional distuebances to this two-dimentional steady rotating flow. We confine ourselves to, as 3D disturbance stationary Kelvin waves having the same axial wave number and azimuthal wavenumbers equal to -1 and +1. We develop Lagrangian approach to calculate the drift current induced by nonlinear interaction of Kelvin waves and thereby obtain a set of ordinally differntial equation describing weakly nonlinear evolution of disturbance amplitude. The resulting amplitude equations have discrepancy from the ones obtained by Sipp. Our treatment rescues the latter one which includes an undetermined constant.
日本流体力学会の論文
2009-09-02