An algorithm for the use of the Lagrangian specification in Newtonian fluid mechanics and applications to free-surface flow

P Bach, Ole Hassager

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

An algorithm is constructed for the use of the Lagrangian kinematc specification in Newtonian fluid mechanics. The algorithm is implemented with a finite-element method, and it is demonstrated that the method accurately describes free-surface flow, including the effects of surface tension, with the use of just bilinear isoparametric elements. Moving contact lines are modelled with a small amount of slip near the contact lines. The contact angle boundary condition is included in the form of a net interfacial force specified at the contact line. Simulations of measurements in a parallel-plate geometry show that the measured apparent contact angle is not the true angle, and that the true angle is always very close to the equilibrium value.
Original languageEnglish
JournalJournal of Fluid Mechanics
Volume152
Issue numberMAR
Pages (from-to)173-190
ISSN0022-1120
DOIs
Publication statusPublished - 1985

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