SearcharxivSearch

arXiv subjects

Rouslan Krechetnikov

Publications and source records attributed to Rouslan Krechetnikov.

4 recordsLinked to original sources

On the moving contact line singularity

Given that contact line between liquid and solid phases can move regardless how negligibly small are the surface roughness, Navier slip, liquid volatility, impurities, deviations from the Newtonian behavior, and other system-dependent parameters, the problem is treated here from the pure hydrodynamical point of view only. In this note, based on straightforward logical considerations, we would like to offer a new idea of how the moving contact line singularity can be resolved and provide support with estimates of the involved physical parameters as well as with an analytical local solution.

physics.flu-dyn

Effects of interfacial curvature on Rayleigh-Taylor instability

In this work a non-trivial effect of the interfacial curvature on the stability of accelerated interfaces, such as liquid rims, is uncovered. The new stability analysis, based on operator and boundary perturbation theories, reveals and quantifies influence of the interfacial curvature on the growth rate and on the wavenumber selection of the Rayleigh-Taylor instability. The systematic approach developed here also provides a rigorous generalization of the widely used \textit{ad hoc} idea, due to Layzer [Astrophys. J. \textbf{122}, 1-12 (1955)], of approximating the potential velocity field near the interface.

physics.flu-dyn