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Thin three-dimensional drops on a slowly oscillating substrate.
Benilov ES. Benilov ES. Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Dec;84(6 Pt 2):066301. doi: 10.1103/PhysRevE.84.066301. Epub 2011 Dec 1. Phys Rev E Stat Nonlin Soft Matter Phys. 2011. PMID: 22304184
The drop is assumed thin, and the oscillations are assumed weak and slow (the latter makes the liquid's inertia and viscosity negligible, so the drop's shape is determined by a balance of surface tension, gravity, and vibration-induced inertial force). On the basis …
The drop is assumed thin, and the oscillations are assumed weak and slow (the latter makes the liquid's inertia and viscosity negligi …
Drops climbing uphill on a slowly oscillating substrate.
Benilov ES. Benilov ES. Phys Rev E Stat Nonlin Soft Matter Phys. 2010 Aug;82(2 Pt 2):026320. doi: 10.1103/PhysRevE.82.026320. Epub 2010 Aug 27. Phys Rev E Stat Nonlin Soft Matter Phys. 2010. PMID: 20866918
It is demonstrated that the nonlinear effects (associated with the large thickness of the drop) dramatically strengthen the drop's uphill motion....
It is demonstrated that the nonlinear effects (associated with the large thickness of the drop) dramatically strengthen the drop's up …
Waves in liquid films on vibrating substrates.
Benilov ES, Chugunova M. Benilov ES, et al. Phys Rev E Stat Nonlin Soft Matter Phys. 2010 Mar;81(3 Pt 2):036302. doi: 10.1103/PhysRevE.81.036302. Epub 2010 Mar 1. Phys Rev E Stat Nonlin Soft Matter Phys. 2010. PMID: 20365849
The crests of these metastable waves are flat and wide, and they all have more or less the same amplitude (determined by the problem's global parameters). The metastable solitary waves play an important role in the evolution of films for which the state of uniform thicknes …
The crests of these metastable waves are flat and wide, and they all have more or less the same amplitude (determined by the problem's …
Shock waves in Stokes flows down an inclined plate.
Benilov ES, Lapin VN. Benilov ES, et al. Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Jun;83(6 Pt 2):066321. doi: 10.1103/PhysRevE.83.066321. Epub 2011 Jun 29. Phys Rev E Stat Nonlin Soft Matter Phys. 2011. PMID: 21797491
We consider a viscous flow on an inclined plate, such that the liquid's depth far upstream is larger than that far downstream, resulting in a "smoothed-shock wave" steadily propagating downstream. Our numerical simulations show that in a large section of the problem's …
We consider a viscous flow on an inclined plate, such that the liquid's depth far upstream is larger than that far downstream, result …