Abstract

It is shown that there exists an asymptotic expansion of the ascent of a liquid on a circular needle if the radius of the cross section tends to zero. In particular, a formula derived formally by Derjaguin in 1945 is confirmed.

Keywords

capillarity, ascent on a needle, circular tube, asymptotic expansion

Mathematical Subject Classification

Primary: 76B45

Secondary: 41A60, 35J70

Authors