二液体を内蔵する回転円筒の不安定振動に関する理論的研究

概要

論文の詳細を見る
Based on Eular equations and a continuity equation for describing the motion of two liquids of different density contained in a rotating cylinder, the governing equations for fluctuating velocity components in γ, θ, and z directions and boundary conditions are derived. For highspeed rotation of the cylinder, fluctuating pressures in each liquid are obtained by assuming two-dimensional motion of liquids and applying the Galerkin method to a boundary condition on the pressure, and the fluid force acting upon the cylinder is then obtained. Applying this fluid force to the equation of motion of the rotating cylinder-shaft system, stability criteria are obtained by using the harmonic balance method. The theoretical evaluation of the stability condition in terms of rotation speed and liquid-thickness ratio is compared with Kaneko's experiment and our theory offers very good agreement with the experiment. For low-speed rotation, no instability occurs.
一般社団法人日本機械学会の論文
1991-07-25