arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1508.04151physics.flu-dyn
收藏

具有非光滑界面的多液桥

Multiple Liquid Bridges with Non-Smooth Interfaces

Leonid Fel, Boris Rubinstein, Vadim Ratner

摘要:

本文考虑两个轴对称的液桥LB_i和LB_m共存的问题,液桥LB_i和LB_m是由两种不互溶的液体i和m浸入第三种液体(或气体)e中,并被困在两个具有轴对称表面S_1,S_2和自由接触线的光滑固体之间。液桥的演化允许LB_i和LB_m具有多个(五个或三个)非光滑形状的界面的两种不同构型。我们制定了体积约束的变分问题,并提出其控制方程补充边界条件。我们发现了一个普遍的界面曲率之间的关系,并讨论了所有液体相遇在一起的奇异曲线的杨氏关系。

英文摘要:

We consider a coexistence of two axisymmetric liquid bridges LB_i and LB_m of two immiscible liquids i and m which are immersed in a third liquid (or gas) e and trapped between two smooth solid bodies with axisymmetric surfaces S_1,S_2 and free contact lines. Evolution of liquid bridges allows two different configurations of LB_i and LB_m with multiple (five or three) interfaces of non-smooth shape. We formulate a variational problem with volume constraints and present its governing equations supplemented by boundary conditions. We find a universal relationship between curvature of the interfaces and discuss the Young relation at the singular curve where all liquids meet together.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑