Slobozhanin Lev A, Alexander J Iwan D
Department of Mechanical and Aerospace Engineering and National Center for Microgravity Research on Fluids and Combustion, Case Western Reserve University, Cleveland, OH 44106, USA.
J Colloid Interface Sci. 2003 Jun 1;262(1):212-20. doi: 10.1016/S0021-9797(02)00234-5.
The stability problems for equilibrium standard "double bubble" and "double drop" configurations are considered. Recent work has shown that a double bubble is stable to volume-preserving perturbations. In this paper, the stability to perturbations that do not conserve the volumes of the individual bubbles is examined. It is shown that a double bubble shape is also stable to these perturbations and, thus, is stable to arbitrary perturbations. The analysis is based on the principle of minimum total energy. A variational principle is used to formulate the stability problem for an equilibrium double drop configuration formed under zero gravity by two drops of immiscible incompressible liquids.
考虑了平衡标准“双气泡”和“双液滴”构型的稳定性问题。最近的研究表明，双气泡对于保持体积的扰动是稳定的。在本文中，研究了对于不守恒单个气泡体积的扰动的稳定性。结果表明，双气泡形状对于这些扰动也是稳定的，因此对于任意扰动都是稳定的。分析基于总能量最小原理。利用变分原理来阐述在零重力下由两滴不混溶的不可压缩液体形成的平衡双液滴构型的稳定性问题。
