Book ChapterDOI
Utilization of the Second Gradient Theory in Continuum Mechanics to Study the Motion and Thermodynamics of Liquid-Vapor Interfaces
TLDR
In this article, a thermomechanical model of continuous media based on second gradient theory has been used to study the motions in liquid-vapor interfaces, which is shown to be fundamentally equivalent to molecular theories.Abstract:
A thermomechanical model of continuous media based on second gradient theory has been used to study the motions in liquid-vapor interfaces. In the equilibrium state this model is shown to be fundamentally equivalent to molecular theories. Conservative motions in such fluids verify the first integrals that provide Kelvin’s circulation theorems and potential equations. The dynamic surface tension of a liquid-vapor interface has been deduced from equations written with a viscosity factor. The result provides and explains the Marangoni effect.read more
Citations
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Journal ArticleDOI
Reflection and transmission of plane waves at surfaces carrying material properties and embedded in second-gradient materials
TL;DR: In this paper, reflection and transmission of compression and shear waves at structured interfaces between second-gradient continua is investigated, and two semi-infinite spaces filled with the same semidefinite spaces are modeled.
Book
Structure of Liquids
TL;DR: The Edinburgh discussion of the Faraday Society on September 24-26 on the subject of "The Structure of Liquids and Solutions" was a particularly successful and satisfactory conference as discussed by the authors.
Journal ArticleDOI
Propagation of linear compression waves through plane interfacial layers and mass adsorption in second gradient fluids
TL;DR: In this article, the problem of detection and transmission of compression waves at the phase transition layer of the same fluid was studied and analyzed with the aid of numerical simulations, and an interesting phenomenon of mass adsorption at the interface was observed and discussed.
Journal ArticleDOI
Media with equations of state that depend on derivatives
Sergey Gavrilyuk,S. M. Shugrin +1 more
Journal ArticleDOI
Modelling and simulation of liquid-vapor phase transition in compressible flows based on thermodynamical equilibrium ∗
TL;DR: In this paper, the authors investigate the numerical simulation of liquid-vapor phase change in compressible flows and propose a discretization strategy based on a finite-volume relaxation method.
References
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Journal ArticleDOI
Theory of Dynamic Critical Phenomena
TL;DR: The renormalization group theory has been applied to a variety of dynamic critical phenomena, such as the phase separation of a symmetric binary fluid as mentioned in this paper, and it has been shown that it can explain available experimental data at the critical point of pure fluids, and binary mixtures, and at many magnetic phase transitions.
Book
Molecular theory of capillarity
John S. Rowlinson,B. Widom +1 more
TL;DR: The theory of Van Der Waals statistical mechanics of the liquid-gas surface model fluids in the mean-field approximation computer simulation of the calculation of the density profile three-phase equilibrium interfaces near critical points as mentioned in this paper.
Journal ArticleDOI
Free Energy of a Nonuniform System. III. Nucleation in a Two‐Component Incompressible Fluid
John W. Cahn,John E. Hilliard +1 more
TL;DR: In this article, the saddle point in the expression derived in Paper I (see reference 8) for the free energy of a nonuniform system was used to derive the properties of a critical nucleus in a two-component metastable fluid.
Journal ArticleDOI
Dynamics of a fluid interface Equation of motion for Newtonian surface fluids
TL;DR: In this article, the authors derived a completely general formulation of the dynamics of a Newtonian fluid interface, that is, one whose rheological behaviour is characterized by its equilibrium interfacial tension and B oussinesq's [18] two coefficients of surface viscosity.