弾性体に挟まれた粘性流体の自由表面の挙動

抄録

In the present study, the meniscus instability of a viscous fluid film confined into a narrow gap between a circular rigid flat plate and an elastic sheet with uniform thickness was examined theoretically. The Reynolds lubrication equation was solved numerically to obtain axisymmetric flow which occurs when the plate and sheet were separated with constant speed. After that, linear stability analysis was performed to assess the influence of elastic deformation on the instability of free surface. The elastic sheet was modeled by infinite linear elastic plank bonded to rigid substrate. Surface displacement of the sheet was calculated using a Green's function derived from stress function and Hankel transformation. Consequently, it was found that the moving velocity of the fluid radius decreases with increasing elastic compliance of the sheet. This result shows that the deformation of the elastic body contributes to the stabilization of motion of free surface.