ヘルショウセルの粘性ポテンシャル流解析(混相(1),一般講演)

概要

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The problem of radial fingering in two phase gas/liquid flow in Hele-Shaw cells under injection or withdrawal is studied here. The fingers arise as an instability of a time dependent flow which is rigorously resolved in the linearized approximation for the first time. One consequence of the unsteady basic flow is the spreading of the number of unstable fingers. Another consequence is that the evolution of the perturbed interface f(R(t)) is not governed by the local (in time) value of the unperturbed interface R(t) but depends globally on all past values of R(t) up to the present. The problem is analyzed as a viscous potential flow VPF in which the potential flow analysis of Paterson 1981 and others is augmented to account for the effects of viscosity on the normal stress at the gas/liquid interface.
日本流体力学会の論文
2008-09-04