28 citations · 157 across the 17 of their papers we have counts for
17 papers
Supercooling of liquids, as described by the Enskog-Vlasov kinetic equation
E. S. Benilov
A model combining Enskog's collision integral for dense fluids with a Vlasov-style description of the van der Waals force is applied to supercooling. First, the spinodal temperatur…
Multispecies Bhatnagar-Gross-Krook models and the Onsager reciprocal relations
E. S. Benilov
It is shown that most of the existing versions of the BhatnagarGrossKrook model those whose coefficient are independent of the molecular velocity do not satisfy the O…
Does the van der Waals force play a part in evaporation?
E. S. Benilov
It is argued that the van der Waals force exerted by the liquid and vapor/air on the molecules escaping from one phase into the other strongly affects the characteristics of evapor…
Nonisothermal evaporation
E. S. Benilov
Evaporation of a liquid layer on a substrate is examined without the often-used isothermality assumption -- i.e., temperature variations are accounted for. Qualitative estimates sh…
The multicomponent diffuse-interface model and its application to water/air interfaces
E. S. Benilov
Fundamental properties of the multicomponent diffuse-interface model (DIM), such as the maximum entropy principle and conservation laws, are used to explore the basic interfacial d…
Dynamics of a drop floating in vapor of the same fluid
E. S. Benilov
Evaporation of a liquid drop surrounded by either vapor of the same fluid, or vapor and air, is usually attributed to vapor diffusion -- which, however, does not apply to the forme…
Capillary condensation of saturated vapor in a corner formed by two intersecting walls
E. S. Benilov
The dynamics of saturated vapor between two intersecting walls is examined. It is shown that, if the angle between the walls is sufficiently small, the vapor becomes unstable,…
Can a liquid drop on a substrate be in equilibrium with saturated vapor?
E. S. Benilov
It is well-known that liquid and saturated vapor, separated by a flat interface in an unbounded space, are in equilibrium. One would similarly expect a liquid drop, sitting on a fl…
Paradoxical predictions of liquid curtains with surface tension
E. S. Benilov
This paper examines two-dimensional liquid curtains ejected at an angle to the horizontal and affected by gravity and surface tension. The flow is, to leading order, shearless and…
Nonexistence of two-dimensional sessile drops in the diffuse-interface model
E. S. Benilov
The diffuse-interface model (DIM) is a widely used tool for modeling fluid phenomena involving interfaces -- such as, for example, sessile drops (liquid drops on a solid substrate,…
The dynamics of liquid films, as described by the diffuse-interface model
E. S. Benilov
The dynamics of a thin layer of liquid, between a flat solid substrate and an infinitely-thick layer of saturated vapor, is examined. The liquid and vapor are two phases of the sam…
Dependence of the surface tension and contact angle on the temperature, as described by the diffuse-interface model
E. S. Benilov
Four results associated with the diffuse-interface model (DIM) for contact lines are reported in this paper. First, a boundary condition is derived, which states that the fluid nea…
Asymptotic reductions of the diffuse-interface model, with applications to contact lines in fluids
E. S. Benilov
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…
The Enskog--Vlasov equaton: A kinetic model describing gas, liquid, and solid
E. S. Benilov, M. S. Benilov
The Enskog--Vlasov (EV) equation is a semi-empiric kinetic model describing gas-liquid phase transitions. In the framework of the EV equation, these correspond to an instability wi…
Peculiar property of noble gases and its explanation through the Enskog--Vlasov model
E. S. Benilov, M. S. Benilov
A new observation is presented that the densities and temperatures at the critical and triple points (, , , and ) of neon, argon, krypton, and xenon…
Stability of frozen waves in the Modified Cahn--Hilliard model
E. S. Benilov, W. T. Lee, R. O. Sedakov
We examine the existence and stability of frozen waves in diblock copolymers with local conservation of the order parameter, which are described by the modified Cahn--Hilliard mode…
Why do bubbles in Guinness sink?
E. S. Benilov, C. P. Cummins, W. T. Lee
Stout beers show the counter-intuitive phenomena of sinking bubbles while the beer is settling. Previous research suggests that this phenomena is due the small size of the bubbles…