G232 平面液体シートの振る舞いに及ぼす粘性の効果(G-23 波動・音・衝撃波(3),一般講演)

概要

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We analytically examine the nonlinear behavior of a planar viscous liquid sheet. Using the membrane approximation, the nonlinear evolution equations are derived for the sheet without a surrounding gas. Linear analysis shows that disturbances decay temporally and spatially for the symmetric mode, while they are neutrally stable for the antisymmetric mode within the membrane aproximation. Numerical analysis for large deformation of the sheet shows that there exists a critical Reynolds number below which the sheet cannot break up for the symmetric mode, while the sheet always breaks up for the antisymmetric mode when the disturbances are sufficiently large. It is also numerically shown that the viscosity affects on the variation of the sheet thickness rather than the displacement of the sheet center plane.
日本流体力学会の論文
2004-08-09