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A Navier-Stokes-Korteweg Model for Dynamic Wetting based on the PeTS Equation of State

Diewald, Felix ; Heier, Michaela ; Lautenschläger, Martin ; Horsch, Martin ; Kuhn, Charlotte ; Langenbach, Kai ; Hasse, Hans ; Müller, Ralf (2019)
A Navier-Stokes-Korteweg Model for Dynamic Wetting based on the PeTS Equation of State.
In: PAMM, 19 (1)
doi: 10.1002/pamm.201900091
Article, Bibliographie

Abstract

Dynamic wetting of component surfaces can be investigated by finite element phase field simulations. Often these models use a double-well potential or the van der Waals equation to define the local part of the free energy density at a point of the computational domain. In order to give the present model a stronger physical background the molecular dynamics based perturbed Lennard-Jones truncated and shifted (PeTS) equation of state is used instead. This results in phase field liquid-vapor interfaces that agree with the physical density gradient between the two phases. In order to investigate dynamic scenarios, the phase field description is coupled to the compressible Navier-Stokes equations. This coupling requires a constitutive equation that complies with the surface tension of the liquid-vapor interface resulting from the PeTS equation of state and is comparable to the so-called Korteweg tensor.

Item Type: Article
Erschienen: 2019
Creators: Diewald, Felix ; Heier, Michaela ; Lautenschläger, Martin ; Horsch, Martin ; Kuhn, Charlotte ; Langenbach, Kai ; Hasse, Hans ; Müller, Ralf
Type of entry: Bibliographie
Title: A Navier-Stokes-Korteweg Model for Dynamic Wetting based on the PeTS Equation of State
Language: English
Date: 18 November 2019
Publisher: Wiley
Journal or Publication Title: PAMM
Volume of the journal: 19
Issue Number: 1
DOI: 10.1002/pamm.201900091
URL / URN: https://onlinelibrary.wiley.com/doi/abs/10.1002/pamm.2019000...
Abstract:

Dynamic wetting of component surfaces can be investigated by finite element phase field simulations. Often these models use a double-well potential or the van der Waals equation to define the local part of the free energy density at a point of the computational domain. In order to give the present model a stronger physical background the molecular dynamics based perturbed Lennard-Jones truncated and shifted (PeTS) equation of state is used instead. This results in phase field liquid-vapor interfaces that agree with the physical density gradient between the two phases. In order to investigate dynamic scenarios, the phase field description is coupled to the compressible Navier-Stokes equations. This coupling requires a constitutive equation that complies with the surface tension of the liquid-vapor interface resulting from the PeTS equation of state and is comparable to the so-called Korteweg tensor.

Divisions: 13 Department of Civil and Environmental Engineering Sciences
13 Department of Civil and Environmental Engineering Sciences > Mechanics
13 Department of Civil and Environmental Engineering Sciences > Mechanics > Continuum Mechanics
Date Deposited: 04 May 2022 07:51
Last Modified: 04 May 2022 07:51
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