Surface Tension‐Driven Flow in a Slender Wedge

摘要: We consider an inviscid fluid, initially at rest inside a wedge, bounded by one free surface and solid surface. When $t=0$, we allow the contact angle to change discontinuously, which leads recoil under action of tension. As noted Keller Miksis [SIAM J. Appl. Math., 43 (1983), pp. 268–277], similarity scaling is available, with lengths like $t^{2/3}$. situation when wedge slender, $\epsilon \ll 1$, changes from e λe. The leading order asymptotic problem for $\lambda = O(1)$, pair nonlinear ordinary differential equations, was considered King [Quart. Mech. 44 (1991), 173–192], numerically O(1)$ asymptotically $|\lambda-1| 1$. In this paper, begin considering system $1 \lambda \epsilon^{-1}$, use Kuzmak’s method construct solution. =O(\epsilon^{-1})$, slope bec...