Hydrodynamic Boundary Conditions Derived from Onsager's Variational Principle

Xinpeng Xu, Tiezheng Qian*

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

3 Scopus citations

Abstract

In addition to hydrodynamic equations in the bulk region, proper hydrodynamic boundary conditions are essential to theoretically understanding and numerically simulating the hydrodynamics of many soft matter systems, e.g. two-phase flows on solid surfaces and viscoelastic fluids on solid surfaces. In this work, we show that Onsager's variational principle, first proposed by Lars Onsager in his seminal work in 1931, provides a convenient instrument for deriving not only hydrodynamic equations in the bulk region but also thermodynamically consistent hydrodynamic boundary conditions. To demonstrate its applications, we consider one-component liquid-vapor flows and immiscible two-phase flows on solid surfaces where moving contact line is involved.

Original languageEnglish
Pages (from-to)144-151
Number of pages8
JournalProcedia IUTAM
Volume20
DOIs
StatePublished - 2017
Externally publishedYes
Event24th International Congress of Theoretical and Applied Mechanics 2016 - Montreal, Canada
Duration: 22 Aug 201624 Aug 2016

Keywords

  • Hydrodynamic boundary conditions
  • Onsager's variational principle
  • moving contact line
  • two-phase flows

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