On the ability of drops or bubbles to stick to non-horizontal surfaces of solids.

*(English)*Zbl 0543.76140Summary: 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 |

##### Keywords:

non-horizontal; small drops or bubbles; stick to the surfaces of solids; shape of the largest drop; shape and speed at which it moves; analytic techniques; contact-angle hysteresis
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\textit{E. B. V. Dussan} and \textit{R. T. p. Chow}, J. Fluid Mech. 137, 1--29 (1983; Zbl 0543.76140)

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##### References:

[1] | DOI: 10.1016/0021-9797(80)90124-1 |

[2] | DOI: 10.1016/0021-9797(69)90411-1 |

[3] | DOI: 10.1016/0095-8522(50)90059-6 |

[4] | Sadhal, Trans. ASME 101 pp 48– (1979) |

[6] | DOI: 10.1016/0017-9310(78)90186-2 |

[7] | Macdougall, Proc. R. Soc. Lond. 180 pp 151– (1942) |

[10] | Hocking, Q. J. Mech. Appl. Maths 34 pp 37– (1981) |

[11] | DOI: 10.1017/S0022112077002134 |

[12] | DOI: 10.1016/0021-9797(71)90280-3 |

[13] | DOI: 10.1017/S0022112078000075 · Zbl 0373.76040 |

[14] | DOI: 10.1016/0095-8522(62)90011-9 |

[15] | DOI: 10.1017/S0022112076002838 · Zbl 0341.76010 |

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