表面张力不平衡对部分浸没圆柱体的影响
Effect of a surface tension imbalance on a partly submerged cylinder
摘要：
我们进行了静态分析的圆柱体，形成一个障碍之间的表面活性剂负载和表面活性剂的液体$-$气体界面的部分。除了确定力和扭矩的平衡的一般含义，我们量化如何之间的不平衡$Δγ=γ_a-γ_b$均匀的表面张力$γ_a$的表面活性剂的无部分的接口和均匀的表面张力$γ_b$的表面活性剂负载的部分的接口影响的承载能力的疏水性圆柱体。此外，我们证明了表面张力的任意形状的横截面的圆柱体的两侧之间的差异引起的水平力分量$f^h$等于$Δγ$的大小，当测量每单位长度的圆柱体。一个充满活力的参数，我们表明，这种关系也适用于棒状障碍与横截面的可变形状。此外，我们将我们的分析，两亲Janus气缸，我们讨论了实际的影响，我们的研究结果Marangoni推进和表面压力测量。
英文摘要：
We perform a static analysis of a circular cylinder that forms a barrier between surfactant-laden and surfactant-free portions of a liquid$-$gas interface. In addition to determining the general implications of the balances for forces and torques, we quantify how the imbalance $Δγ=γ_a-γ_b$ between the uniform surface tension $γ_a$ of the surfactant-free portion of the interface and the uniform surface tension $γ_b$ of the surfactant-laden portion of the interface influences the load-bearing capacity of a hydrophobic cylinder. Moreover, we demonstrate that the difference between surface tensions on either side of a cylinder with a cross-section of arbitrary shape induces a horizontal force component $f^h$ equal to $Δγ$ in magnitude, when measured per unit length of the cylinder. With an energetic argument, we show that this relation also applies to rod-like barriers with cross-sections of variable shape. In addition, we apply our analysis to amphiphilic Janus cylinders and we discuss practical implications of our findings for Marangoni propulsion and surface pressure measurements.
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