The shape of a sessile drop for small and large surface tension

Research output: Contribution to journalArticleAcademicpeer-review

39 Citations (Scopus)
5 Downloads (Pure)


Asymptotic solutions for large and small surface tension are developed for the profile of a symmetric sessile drop. The problem for large surface tension (i.e., small Bond number) is a regular perturbation problem, where the solution may be written as a uniformly valid asymptotic expansion. The problem for small surface tension (i.e., large Bond number) is a singular perturbation problem with boundary-layer behaviour in the edge region. The solution is a matched asymptotic expansion, where some care is to be taken for the matching. The respective ranges of validity are established by comparing the asymptotic results with solutions obtained by numerical integration of the full equations.
Original languageEnglish
Pages (from-to)193-202
Number of pages10
JournalJournal of Engineering Mathematics
Issue number3
Publication statusPublished - 1990


Dive into the research topics of 'The shape of a sessile drop for small and large surface tension'. Together they form a unique fingerprint.

Cite this