非線形な接触線条件下で鉛直加振を受ける円管内二流体界面の挙動 : 第2報,管軸対称基本モード波の特性(流体工学,流体機械)

概要

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The analytical model developed in the previous paper is applied to a problem where an axisymmetric wave of the fundamental mode is excited on a circular, immiscible fluid-fluid interface enclosed by a vertical cylinder. The excitation is caused by a forced vertical motion of the fluids relative to the stationary solid wall. Model analyses reproduced experimental results on the interface wave amplitude and phase relationship to the forced excitation. It is found that the time fraction of the 'stick' phase in each cycle provides a measure of the effective, cycle-averaged mobility of the interface on the wall. The stick phasd is the time period where the interface is tied directly to the fluid-fluid-wall contact line of low mobility and hence the near-wall interface profile is subjected to deformation as a result of the forced fluid motion relative to the wall. For the rest of the cycle the interface is virtually untied from the wall due to the presence of a liquid film between the moving interface and the contact line, which can stretch or shrink without imposing additional forces on the moving interface. The fraction of the stick phase in each cycle decreases as the excitation amplitude is increased, or the wave amplitude increases. The effective, cycle-averaged mobility of the interface, dependent on this time fraction, affects the natural frequency of the interface as well as the efficiency of wave excitation.
2006-09-25