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

  title={On a thermodynamic framework for developing boundary conditions for Korteweg-type fluids},
  author={Ondvrej Souvcek and Martin Heida and Josef M'alek},
  journal={International Journal of Engineering Science},
Thermodynamical analysis and constitutive equations for a mixture of viscous Korteweg fluids
A complete thermodynamical analysis for a binary mixture of viscous Korteweg fluids with two velocities and two temperatures is developed. The constitutive functions are allowed to depend on the
Asymptotic reductions of the diffuse-interface model with applications to contact lines in fluids
The diffuse-interface model (DIM) is a tool for studying interfacial dynamics. In particular, it is used for modeling contact lines, i.e., curves where a liquid, gas, and solid are in simultaneous
Kinetic derivation of diffuse-interface fluid models.
The capillary extra terms and the capillarity coefficient are associated with intermolecular forces and the pair interaction potential and a second-order expansion of the pair distribution function is used to derive the diffuse interface model.
Mixture model for thermo-chemo-mechanical processes in fluid-infused solids


On compressible Korteweg fluid-like materials
On the van der Waals–Cahn–Hilliard phase-field model and its equilibria conditions in the sharp interface limit
  • W. Dreyer, C. Kraus
  • Mathematics
    Proceedings of the Royal Society of Edinburgh: Section A Mathematics
  • 2010
We study the thermodynamic consistency of phase-field models, which include gradient terms of the density ρ in the free-energy functional such as the van der Waals–Cahn–Hilliard model. It is well
On thermomechanical restrictions of continua
  • K. R. Rajagopal, A. Srinivasa
  • Biology
    Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
  • 2004
It is shown by means of an example that even yield–type phenomena can be accommodated within this framework, while they cannot within the framework of Onsager, and issues concerning constraints, especially in thermoelasticity, are discussed.
Free Energy of a Nonuniform System. III. Nucleation in a Two‐Component Incompressible Fluid
By finding the saddle point in the expression derived in Paper I (see reference 8) for the free energy of a nonuniform system, we have derived the properties of a critical nucleus in a two‐component
The thermodynamics of elastic materials with heat conduction and viscosity
The basic physical concepts of classical continuum mechanics are body, configuration of a body, and force system acting on a body. In a formal rational development of the subject, one first tries to
Contact-line dynamics of a diffuse fluid interface
  • D. Jacqmin
  • Engineering
    Journal of Fluid Mechanics
  • 2000
An investigation is made into the moving contact line dynamics of a Cahn–Hilliard–van der Waals (CHW) diffuse mean-field interface. The interface separates two incompressible viscous fluids and can
Issues including sharp-interface analyses that relate these models to the classical free-boundary problem, computational approaches to describe interfacial phenomena, and models of fully miscible fluids are addressed.
On flows of granular materials
This article reviews the behavior of materials made up of a large assemblage of solid particles under rapid and quasi static deformations. The focus is on flows at relatively high concentrations and