かく乱の広がりを考慮した線形安定性理論による放射状液膜流れの遷移点予測

概要

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The usefulness of the so-called e^N-method for predicting the point of transition to turbulence in a radial liquid-film flow is established. The spatial linear stability of the flow was investigated, including the effect of the radial spreading of vortices. The non-homogeneous Orr-Sommerfeld equation was solved numerically. It was found that the calculated result which included the effect of the radial spreading of vortices is more unstable than that neglecting the effect ; the effect increases with decreasing radius. The frequency of the most amplified disturbance, which was estimated from the evolution of disturbances with fixed frequency, was in good agreement with that detected through wall pressure measurement. It was found, from the comparison of the stability theory with experimental results, that the exponent N is about 9 when the transition to turbulence occurs.
一般社団法人日本機械学会の論文
1995-02-25