Equilibrium Conformations of Liquid Drops on Thin Cylinders under Forces of Capillarity. A Theory for the Roll-up Process

2008/11/04   下载量: 78

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The way that the conformation of a liquid drop adhering to a circular, cylindrical fiber changes when the contact angle is increased from a low initial value is discussed in terms of the classical Laplace excess pressure in the drop. It is shown that an axially symmetrical conformation becomes metastable when the contact angle exceeds a critical value which is dependent on the fiber radius and the drop volume. Beyond this point an axially unsymmetrical conformation is favored. The transition between conformations is accompanied by a reduction in the drop/fiber contact area over and above that expected from the contact angle increment bringing about the metamorphosis. The transition described corresponds to the classical roll-up process of detergency first described by N. K. Adam.

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