56 citations · 141 across the 7 of their papers we have counts for
7 papers
Dynamics of liquid nanofilms
Henri Gouin, Sergey Gavrilyuk
The van der Waals forces across a very thin liquid layer (nanofilm) in contact with a plane solid wall make the liquid nonhomogeneous. The dynamics of such flat liquid nanofilms is…
Hamilton's Principle and Rankine-Hugoniot Conditions for General Motions of Mixtures
Henri Gouin, Sergey Gavrilyuk
In previous papers, we have presented hyperbolic governing equations and jump conditions for barotropic fluid mixtures. Now we extend our results to the most general case of two-fl…
Hyperbolic Models of Homogeneous Two-Fluid Mixtures
Sergey L. Gavrilyuk, Henri Gouin, Yurii Perepechko
One derives the governing equations and the Rankine - Hugoniot conditions for a mixture of two miscible fluids using an extended form of Hamilton's principle of least action. The L…
A variational principle for two-fluid models
Sergey Gavrilyuk, Henri Gouin, Yurii Perepechko
A variational principle for two-fluid mixtures is proposed. The Lagrangian is constructed as the difference between the kinetic energy of the mixture and a thermodynamic potential…
Bubble effect on Kelvin-Helmholtz' instability
Sergey L. Gavrilyuk, Henri Gouin, Vladimir M. Teshukov
We derive boundary conditions at interfaces (contact discontinuities) for a class of Lagrangian models describing, in particular, bubbly flows. We use these conditions to study Kel…
A new form of governing equations of fluids arising from Hamilton's principle
Sergey Gavrilyuk, Henri Gouin
A new form of governing equations is derived from Hamilton's principle of least action for a constrained Lagrangian, depending on conserved quantities and their derivatives with re…