On a thermodynamic framework for developing boundary conditions for Korteweg-type fluids

DOI10.1016/j.ijengsci.2020.103316OpenAlexW3036680509MaRDI QIDQ784937

Martin Heida, Ondřej Souček, Josef Málek

Publication date: 5 August 2020

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.03463

zbMATH Keywords

boundary conditionscontinuum thermodynamicsdiffuse interfacecontact angle hysteresisvan der Waals fluidKorteweg fluid

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Fluid mechanics (76-XX)

Related Items

Mixture model for thermo-chemo-mechanical processes in fluid-infused solids, Modelling of Biomaterials as an Application of the Theory of Mixtures, A thermodynamic framework for the additive manufacturing of crystallizing polymers. I: A theory that accounts for phase change, shrinkage, warpage and residual stress, Towards systematic approach to boundary conditions in mixture and multiphasic incompressible models: maximum entropy principle estimate, A generalization of the classical Euler and Korteweg fluids., A relaxation model for the non-isothermal Navier-Stokes-Korteweg equations in confined domains

Uses Software

• FEniCS
• parDG

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Isogeometric analysis of the isothermal Navier-Stokes-Korteweg equations
• Variational formulations for surface tension, capillarity and wetting
• On compressible Korteweg fluid-like materials
• Surfactants in foam stability: a phase-field model
• The thermodynamics of elastic materials with heat conduction and viscosity
• A continuum method for modeling surface tension
• On flows of granular materials
• Dynamic solid-solid transitions with phase characterized by an order parameter
• On some practical issues concerning the implementation of Cahn-Hilliard-Navier-Stokes type models
• On the derivation of thermodynamically consistent boundary conditions for the Cahn-Hilliard-Navier-Stokes system
• Fully resolved compressible two-phase flow: modelling, analytical and numerical issues
• On thermomechanical restrictions of continua
• On the van der Waals–Cahn–Hilliard phase-field model and its equilibria conditions in the sharp interface limit
• A Numerical Approach to Three-Dimensional Dendritic Solidification
• Contact-line dynamics of a diffuse fluid interface
• DIFFUSE-INTERFACE METHODS IN FLUID MECHANICS
• Free Energy of a Nonuniform System. I. Interfacial Free Energy
• Wetting of real surfaces