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On the ability of drops or bubbles to stick to non-horizontal surfaces of solids. (English) Zbl 0543.76140
Summary: It is common knowledge that relatively small drops or bubbles have a tendency to stick to the surfaces of solids. Two specific problems are investigated: the shape of the largest drop or bubble that can remain attached to an inclined solid surface; and the shape and speed at which it moves along the surface when these conditions are exceeded. The slope of the fluid-fluid interface relative to the surface of the solid is assumed to be small, making it possible to obtain results using analytic techniques. It is shown that from both a physical and mathematical point of view contact-angle hysteresis, i.e. the ability of the position of the contact line to remain fixed as long as the value of the contact angle \(\theta\) lies within the interval \(\theta_ R\leq \theta \leq \theta_ A\), where \(\theta_ A\not\equiv \theta_ R\), emerges as the single most important characteristic of the system.

MSC:
76T99 Multiphase and multicomponent flows
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