Asymptotic Formulas for Small Sessile Drops
Copyright policy )Asymptotic Formulas for Small Sessile Drops
We will prove asymptotic foriiulas for the wetted disk of a drop with small volume resting on a horizontal plane which is in a vertical gravity field. These formulas are general-izations of results of Finn. There is a non-uniformity in the asymptotic behaviour depending on whether the boundary contact angle is near \pi or not. If the contact angle is different from \pi we get a complete asymptotic expansion of the wetted disk in powers of the volume. These results are consequences of the strong non-linearity of the problem.
- Leipzig University Germany
wetted disk, Nonlinear boundary value problems for linear elliptic equations, Degenerate elliptic equations, boundary contact angle, Capillarity (surface tension) for incompressible inviscid fluids, small volume
wetted disk, Nonlinear boundary value problems for linear elliptic equations, Degenerate elliptic equations, boundary contact angle, Capillarity (surface tension) for incompressible inviscid fluids, small volume
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