Hydrodynamic Boundary Conditions Derived from Onsager's Variational Principle

Xinpeng Xu; Tiezheng Qian

doi:10.1016/j.piutam.2017.03.020

Hydrodynamic Boundary Conditions Derived from Onsager's Variational Principle

Xinpeng Xu, Tiezheng Qian^*

^*Corresponding author for this work

Research output: Contribution to journal › Conference article › peer-review

6 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 language	English
Pages (from-to)	144-151
Number of pages	8
Journal	Procedia IUTAM
Volume	20
DOIs	https://doi.org/10.1016/j.piutam.2017.03.020
State	Published - 2017
Externally published	Yes
Event	24th International Congress of Theoretical and Applied Mechanics 2016 - Montreal, Canada Duration: 22 Aug 2016 → 24 Aug 2016

Keywords

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

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10.1016/j.piutam.2017.03.020

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title = "Hydrodynamic Boundary Conditions Derived from Onsager's Variational Principle",

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.",

keywords = "Hydrodynamic boundary conditions, Onsager's variational principle, moving contact line, two-phase flows",

author = "Xinpeng Xu and Tiezheng Qian",

note = "Publisher Copyright: {\textcopyright} 2017 The Authors.; 24th International Congress of Theoretical and Applied Mechanics 2016 ; Conference date: 22-08-2016 Through 24-08-2016",

year = "2017",

doi = "10.1016/j.piutam.2017.03.020",

language = "英语",

volume = "20",

pages = "144--151",

journal = "Procedia IUTAM",

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TY - JOUR

T1 - Hydrodynamic Boundary Conditions Derived from Onsager's Variational Principle

AU - Xu, Xinpeng

AU - Qian, Tiezheng

PY - 2017

Y1 - 2017

N2 - 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.

AB - 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.

KW - Hydrodynamic boundary conditions

KW - Onsager's variational principle

KW - moving contact line

KW - two-phase flows

UR - http://www.scopus.com/inward/record.url?scp=85029768693&partnerID=8YFLogxK

U2 - 10.1016/j.piutam.2017.03.020

DO - 10.1016/j.piutam.2017.03.020

M3 - 会议文章

AN - SCOPUS:85029768693

SN - 2210-9838

VL - 20

SP - 144

EP - 151

JO - Procedia IUTAM

JF - Procedia IUTAM

T2 - 24th International Congress of Theoretical and Applied Mechanics 2016

Y2 - 22 August 2016 through 24 August 2016

ER -

Hydrodynamic Boundary Conditions Derived from Onsager's Variational Principle

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Keywords

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